cyclic fatigue of NiTi instruments

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  • 8/10/2019 cyclic fatigue of NiTi instruments

    1/9

    0099-2399/97/2302-0077503.00/0

    JOURNAL OF ENDODONT{CS

    Copyright 1997 by The American Association of Endodontists

    S C I E N T IF IC A R T IC L E S

    Pr in ted in U S A

    VOL. 23 No. 2 FI~BRUARY1997

    Cyc l i c F a t i g u e T es t i n g o f N i cke l T i tan i u m

    E n d o d o n t i c I n s t r u m e n t s

    J o h n P . P r u e tt D D S D a v i d J . C l e m e n t D D S a n d D a v i d L . C a r n e s J r. P h D

    Cyc l i c fa t i gue o f n i cke l - t i tan ium, eng ine -d r i ven in -

    s t r u m e n t s w a s s t u d i e d b y d e t e r m i n in g t h e e f f e c t o f

    ca n a l cu r va tu r e a n d o p e r a t i n g sp e e d o n t h e b r e a k -

    a g e o f L i g h t sp e e d i n s t r u me n ts . A n e w me th o d o f

    ca n a l cu r va tu r e e va l u a t io n t h a t a d d r e ss e d b o th a n -

    g l e a n d a b r u p tn e ss o f cu r va tu r e wa s i n t r o d u ce d .

    Ca n a l cu r va tu r e wa s s i mu l a te d b y co n s t r u c t i n g s i x

    cu r ve d s ta i n l e ss - s te e l g u i d e t u b e s w i t h a n g l e s o f

    cu rva tu re o f 30 , 45 , o r 60 degrees , and rad i i o f

    cu r va tu r e o f 2 o r 5 mm. S i ze 3 0 a n d 4 0 L i g h t -

    s p e e d i n s t r u m e n t s w e r e p l a c e d t h ro u g h t h e g u i d e

    tu b e s a n d t h e h e a d s se cu r e d i n t h e co l l e t o f a

    Ma g t r o l Dyn a mo me te r . A s i mu l a te d o p e r a t i n g l o a d

    o f 1 0 g - cm wa s a p p l i e d . I n s t r u me n ts we r e a b l e t o

    r o ta te f r e e l y i n t h e t e s t a p p a r a tu s a t sp e e d s o f 7 5 0 ,

    1 3 0 0 , o r 2 0 0 0 r p m u n t i l se p a r a t i o n o ccu r r e d . Cy -

    c l e s t o f a i l u r e we r e d e te r m i n e d . Cyc l e s t o f a i l u r e

    we r e n o t a f fe c te d b y r p m. I n s t r u m e n ts d i d n o t se p -

    a r a te a t t h e h e a d , b u t r a th e r a t t h e p o i n t o f ma x i -

    mu m f l e xu r e o f t h e sh a f t , co r r e sp o n d i n g t o t h e

    m i d p o i n t o f cu r va tu r e w i t h i n t h e g u i d e t u b e . Th e

    i n s t r u me n ts w i t h l a r g e r d i a me te r sh a f ts , 4 0 , f a il e d

    a f t e r s i g n i fi ca n t ly f e w e r cyc l e s t h a n d i d 3 0 i n s t r u -

    me n ts u n d e r i d e n t i ca l t e s t co n d i t i o n s . Mu l t i va r i -

    a b l e a n a l ys i s o f va r i a n ce i n d i ca te d t h a t cyc l e s t o

    fa il u re s i g n i f ica n t l y d e c r e a se d a s t h e r a d i u s o f cu r -

    v a t ur e d e c r e a s e d fr o m 5 m m t o 2 m m a n d a s t h e

    a n g l e o f cu r va tu r e i n c r e a se d g r e a te r t h a n 3 0 d e -

    g rees (p < 0 .05 , power = 0 .9 ) . Scann ing e lec t ron

    m i c r o sco p i c e va l u a t i o n r e ve a l e d d u c t i l e f r a c tu r e

    a s t h e f a t i g u e f a i lu r e m o d e . Th e se r e s u l t s i n d i ca te

    tha t , fo r n i cke l - t i tan ium, eng ine -d r i ven ro ta ry i n -

    s t r u me n ts , t h e r a d i u s o f cu r va tu r e , a n g l e o f cu r va -

    tu r e , a n d i n s t r u me n t s i ze a r e mo r e i mp o r ta n t t h a n

    o p e r a t i n g sp e e d f o r p r e d i c t i n g se p a r a t i o n . Th i s

    s t u d y s u p p o r t s e n g i n e e ri n g c o n c e p t s o f c y c l ic f a -

    t i g u e f a il u re a n d su g g e s t s t h a t s t a n d a r d i ze d f a -

    t i g u e t e s t s o f n i cke l - t i t a n i u m r o ta r y i n s t r u me n ts

    sh o u l d i n c l u d e d yn a m i c o p e r a t i o n i n a f l e xe d s ta te .

    Th e r e su l t s a l so su g g e s t th a t t h e e f f e c t o f t h e r a -

    d i u s o f cu r va tu r e a s a n i n d e p e n d e n t va r i a b l e

    sh o u l d b e co n s i d e r e d wh e n e va l u a t i n g s tu d i e s o f

    r o o t ca n a l i n s t r u me n ta t i o n .

    77

    Instrument separation is a serious concern in endodontic s. Because

    stainless-steel instruments usually deform before they separate,

    dentists can inspect them for visible signs of instrument deforma-

    tion. A deformed instrument usually shows severe bending or

    unwinding of the flutes, indicating hat the elastic limit of the metal

    has been exceeded and that the instrumen t should be discarded.

    Nickel-titanium Ni-Ti) endodontic instruments were intro-

    duced to facilitate instrumentation of curved canals. Ni-Ti instru-

    ments are superelastic and will flex far more than stainless-steel

    instruments before exceeding their elastic limit 1, 2). This flexi-

    bility is an important property that allows preparation of curved

    canals while minimizing transportation 3). Despite this increased

    flexibility, separation is still a concern with Ni-Ti instruments, and

    they have been reported to undergo unexpected fracture 4). Sep-

    aration can occur without any visible signs of previous permanent

    deformation, apparently within the elastic limit of the instrument.

    Visible inspection, therefore, is not a reliable method for evalua-

    tion of used Ni-Ti instruments.

    The American Dental Association ADA) Specification No. 28

    5) stipulates the design requirements, testing procedures, and

    physical properties for endodontic instruments. Tests detailed in

    ADA Specification No. 28 are conducted in a static mode. Instru-

    ments are fixed at the tip and are twisted until failure to determine

    instrumen t resistance to fracture under torsional loading. Angular

    deflection is used to detertnine stiffness when instruments are bent

    to predetermined angles of 30, 45, and 90 degrees. Tests described

    in ADA Specification No. 28 are appropriate for establishing

    mini mum strength requirements of Ni-Ti hand instruments placed

    under a static load I, 2, 6, 7), but ADA Specification No. 28 is not

    an appropriate test of the dynamic characteristics of engine -driven

    rotary instruments. All Ni-Ti, engine-dr iven otary systems require

    that the ins trument be activated at a predetermined rpm before

    inser tion into the canal. Therefore, to test rotary inst ruments, the

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    7 8 P r u e t t e t a l

    t i p s h o u l d n o t b e s t a t i c a l l y l o c k e d , b u t a l l o w e d t o r o t a t e f r e e l y .

    B e c a u s e A D A S p e c i f i c a t i o n N o . 2 8 d o e s n o t c o n s i d e r c a n a l g e -

    o m e t r y , i t a l s o d o e s n o t c o n s i d e r f a t i g u e a n d b r e a k a g e o f r o t a ry

    i n s t r u m e n t s o p e r a t e d i n f l e x e d c o n d i t i o n s w h i l e p r e p a r i n g c u r v e d

    c a n a l s. T h e p h e n o m e n o n o f r e p e a t e d c y c l i c m e t a l fa t i g u e c au s e d

    b y c a n a l c u r v a t u r e s m a y b e t h e m o s t i m p o r t a n t f a c t o r in i n s t r u m e n t

    separa t ion (2, 8) .

    N i - T i i n s t r u m e n t s e x h i b i t s u p e r e l a s t i c b e h a v i o r a n d r e m a i n

    w i t h i n t h e i r e l a s ti c l i m i t i n s i tu a t i o n s t h a t w o u l d c a u s e p e r m a n e n t

    p la s t i c de form a t ion in s t a in le s s - s te e l ins t rum e nts (1 , 2 ) . Me ta l

    f a t i g u e ( c y c l i c f a t i g u e ) l e a d i n g t o f r a c t u r e a n d s e p a r a t io n c a n o c c u r

    b e l o w t h e e l a s t i c l i m i t o f t h e i n s t r u m e n t ( w i t h o u t p e r m a n e n t d e -

    f o r m a t i o n ) t h r o u g h k n o w n m e c h a n i s m s c a l l e d s l i p b a n d s ( 9 ) . S u c h

    f a t i g u e m e c h a n i s m s o c c u r m i c r o s c o p i c a l l y a n d a r e n o t v i s i b l e t o

    t h e e y e . C y c l i c f a t i g u e i s ca u s e d b y r e p e a t e d t e n s i l e - c o m p r e s s i v e

    s t r e s s . R o t a t i o n s u b j e c t s a n e n d o d o n t i c i n s t r u m e n t t o b o t h t e n s i l e

    a n d c o m p r e s s i v e s t r e s s i n t h e a r e a o f t h e c u r v e . I n s t r u m e n t s p l a c e d

    i n c u r v e d c a n a l s d e f o r m , c r e a t i n g s t r e s s w i t h i n t h e i n s tr u m e n t . H a l f

    o f t h e i n s t r u m e n t s h a f t o n t h e o u t s i d e o f t h e c u r v e i s i n t e n s i o n , a n d

    t h a t h a l f o f t h e i n s t r u m e n t s h a f t o n t h e i n s i d e o f t h e c u r v e i s i n

    c o m p r e s s i o n . E a c h r o t a t i o n w i t h i n a c u r v e d c a n a l c a u s e s a n i n s tr u -

    m e n t t o u n d e r g o o n e c o m p l e t e t e n s i o n - c o m p r e s s i o n s t r e s s c y c l e .

    T h i s i s t h e m o s t d e s t r u c t i v e f o r m o f c y c l i c l o a d i n g ( 9 ) .

    A l t h o u g h s o m e d y n a m i c t e s t i n g h a s b e e n p e r f o r m e d o n N i - T i

    a n d s t a i n l e s s - s t e e l e n d o d o n t i c i n s t r u m e n t s ( 2 , 8 , 1 0 - 1 3 ) , f a t i g u e

    t e s t i n g r e m a i n s u n d e v e l o p e d a s a n e n d o d o n t i c i n s t r u m e n t t e s t i n g

    m e t h o d o l o g y ( 2 , 1 0 , 1 1 ) . S t r es s l e v e l s d u r i n g c y c l i c l o a d i n g a r e

    g e n e r a l l y d e p e n d e n t o n t h e a c t u a l s h a p e o f t h e c u r v a t u r e a n d t h e

    a ppl ie d loa ds . Thi s s t r e s s i s gre a te s t in the a re a of c urva tu re (14) .

    More se ve re be nds c re a te gre a te r s t r e s s (14) ; a nd l a rge r , s t i f f e r

    i n s t r u m e n t s w i l l e x p e r i e n c e g r e a t e r s t r e s s t h a n s m a l l e r i n s t ru m e n t s

    w h e n c o n f i n e d t o t h e s a m e c u r v e d c a n a l s h a p e .

    T h e p u r p o s e o f t h i s s t u d y w a s 2 - f o l d ; f i r s t t o i n t r o d u c e a n e w

    m e t h o d o f d e t e r m i n i n g c a n a l c u rv a t u r e . A n e w m e t h o d w a s n e c -

    e s s a r y b e c a u s e c a n a l c u r v a t u r e h a d t o b e d e s c r i b e d i n p a r a m e t e r s

    k n o w n t o d e t e r m i n e i n s t r u m e n t s t re s s a n d t h e r e f o r e a f f e c t i n st r u -

    m e n t f a t i g u e l i f e . S e c o n d , c y c l i c f a t i g u e w a s e x a m i n e d i n a c o m -

    m e r c i a l l y a v a i l a b l e N i - T i i n s t r u m e n t s y s t e m . T h e s t u d y e x a m i n e d

    t h e e f f e c t o f i n s t r u m e n t o p e r a t i n g r p m , s h a f t d i a m e t e r , a n d c a n a l

    c u r v a t u r e ( i n c l u d i n g a n g l e o f c u r v a t u r e a n d r a d i u s o f cu r v a t u r e ) o n

    t h e f a t i g u e l i f e a n d r e s u l t i n g s e p a r a t i o n o f N i - T i a l l o y e n d o d o n t i c

    ins t rum e nts .

    M A T E R ~ L S A N D M E T H O D S

    T h i s s t u d y r e q u i r e d d e f i n i n g t h e p a r a m e t e r s o f c a n a l cu r v a t u r e

    i n a m o r e e x a c t m a n n e r t h a n g e n e r a l l y u s e d i n e n d o d o n t i c r e s e a rc h .

    C a n a l c u r v a t u r e i s u s u a l l y d e p i c t e d b y a s i n g l e p a r a m e t e r , a n

    a r b i tr a r y a n g l e m e a s u r e d i n d e g r e e s a s d e s c r i b e d b y S c h n e i d e r ( 1 5 )

    ( F i g . 1 ) . T o d e t e r m i n e t h e d e g r e e o f r o o t c u r v a t u r e , h e s c r i b e d a

    l i n e p a r a l le l t o t h e l o n g a x i s o f t h e c a n a l. A s e c o n d l i n e w a s d r a w n

    f r o m t h e a p i c a l f o r a m e n t o i n t e r s e c t w i t h t h e f i r st l i n e a t t h e p o i n t

    w h e r e i n t h e c a n a l b e g a n t o l e a v e t h e l o n g a x i s o f t h e c a n a l. T h e

    a c u t e a n g l e f o r m e d ( a ) w a s d e f i n e d a s t h e d e g r e e o f ro o t c u r v a t u r e .

    T h e s h a p e o f a n y r o o t c a n a l c u r v a t u r e i s m o r e a c c u r a t e l y d e -

    s c r i b e d u s in g t w o p a r a m e t e r s : a n g l e o f c u r v a t u r e ( a ) a n d r a d i u s o f

    c u r v a t u r e ( r ) ( F i g . 2 ) . T o d e t e r m i n e t h e s e p a r a m e t e r s , a s t r a i g h t l i n e

    i s d r a w n a l o n g t h e l o n g a x i s o f t h e c o r o n a l p o r t i o n o f t h e ca n a l . A

    s e c o n d l i n e i s d r a w n a l o n g t h e l o n g a x i s o f t h e a p i c a l p o r t i o n o f th e

    c a n a l . T h e r e i s a p o i n t o n e a c h o f t h e s e l i n e s a t w h i c h t h e c a n a l

    d e v i a t e s t o b e g i n ( p o i n t a ) o r e n d ( p o i n t b ) t h e c a n a l c u r v a t u r e . T h e

    J o u r n a l o f E n d o d o n U c s

    3

    B

    F IG 1 . Deg r ee o f r oo t c ana l c u r va t u r e . T he m e t hod des c r i bed by

    S c hne i de r f o r de t e r m i n i ng c ana l c u r v a t u r e us es on l y one pa r am e t e r

    t o de f i ne t he ang l e . T t =, t wo s i m u l a t ed t ee t h dem ons t r a t e h ow a

    d i f fe rence i n abruptne~ , , o f the curve rad ius o f curvature) w i l l vary

    t h e d e g r e e o f c u r v a t u r e a s m e a s u r e d b y t h i s m e t h o d . A h a s a n a n g l e

    o f 43 deg r ee s and B has an ang l e o f 52 deg r ees , ev en thou gh b o t h

    a n g l e s m e a s u r e d a c c o r d i n g t o o u r m e t h o d e q u a l e d 6 0 d e g r e e s .

    L o c a t i o n o f t h e c u r v e a l o n g t h e c a n a l w i ll a l s o c h a n g e t h e m e a s u r e d

    ang l e .

    c u r v e d p o r t i o n o f t h e c a n a l i s r e p r e s e n t e d b y a c i r c l e w i t h t a n g e n t s

    a t p o i n t s a a n d b . T h e a n g l e o f c u r v a t u r e i s t h e n u m b e r o f d e g r e e s

    o n t h e a r c o f t h e c i r c le b e t w e e n p o i n t s a a n d b . A n g l e o f c u r v a t u r e

    c a n a l s o b e d e f i n e d b y t h e a n g l e f o r m e d ( c ~ 1 a nd c ~2) by pe rp e n-

    d i c u l a r l i n e s d r a w n f r o m t h e p o i n t s o f d e v i a t i o n ( a a n d b ) t h a t

    i n t e r s e c t a t t h e c e n t e r o f t h e c i r c l e . T h e l e n g t h o f t h e s e l i n e s i s t h e

    r a d i u s o f t h e c i r c l e a n d d e f i n e s t h e r a d i u s o f t h e c a n a l c u r v a t u r e .

    T h e r a d i u s o f c u r v a t u r e ( r I a n d r 2 ) i s t h e l e n g t h o f t h e r a d i u s o f t h e

    c i r c l e m e a s u r e d i n m i l l i m e t e r s . T h e r a d i u s o f c u r v a t u r e r e p r e s e n t s

    h o w a b r u p t l y o r s e v e r e l y a s p e c i fi c a n g l e o f c u r v a t u r e o c c u r s a s t h e

    c a n a l d e v i a t e s f r o m a s t r a i g h t l i n e . T h e s m a l l e r t h e r a d i u s o f

    c u r v a t u r e , t h e m o r e a b r u p t t h e c a n a l d e v i a t i o n . T h e p a r a m e t e r s o f

    a n g l e o f c u r v a t u r e a n d r a d i u s o f c u r v a t u r e a r e i n d e p e n d e n t o f e a c h

    o t h e r . C a n a l s c a n h a v e t h e s a m e a n g l e o f c u r v a t u r e w h i l e h a v i n g

    d i f f e r e n t r a d i i o f cu r v a t u r e , r e s u l t in g i n m o r e a b r u p t c u r v e s .

    B e c a u s e c o n t r o l l e d c y c l i c f a t i g u e s t u d i e s o n N i - T i , e n g i n e -

    d r i v e n e n d o d o n t i c i n s t r u m e n t s h a d n o t p r e v i o u s l y b e e n p e r f o r m e d ,

    p i l o t s t u d ie s w e r e r e q u i r e d t o d e v e l o p a t e s t ap p a r a t u s a n d s p e c i f y

    t h e t e st p a r a m e t e r s . T h e p a r a m e t e r s o f r a d i u s o f c u r v a t u r e a n d

    a n g l e o f c u r v a tu r e n e e d e d t o b e d e f i n e d n a r r o w l y e n o u g h t o a l l o w

    a c c u r a t e d a t a c o l l e c t i o n . E x t r a c t e d t e e t h w i t h s e v e r e r o o t c u r v a -

    t u r e s s u g g e s t i n g p o s s i b l e h i g h - s t r e s s c o n d i t i o n s l e a d i n g t o i n s t r u -

    m e n t s e p a r a t i o n w e r e r a d i o g r a p h e d . R a d i o g r a p h s w e r e a l s o m a d e

    o f t e e th t r e a t e d c l i n i c a l l y in w h i c h s e p a r a t i o n o f N i - T i L i g h t s p e e d

    i n s t r u m e n t s h a d o c c u r r e d . T h e r a d i u s o f c u r v a t u r e o f t h e c a n a l s i n

    t h e s e t e e th w a s d e t e r m i n e d b y u s i n g a c i r c l e g a u g e a l i g n e d o v e r t h e

    i m a g e o f t h e c a n a l p r o f i l e . A d d i t i o n a l l y , s i z e 3 0 L i g h t s p e e d

    i n s t r u m e n t s w e r e o p e r a t e d t h r o u g h b e n t n e e d l e s s i m u l a t i n g i n -

    c r e a s i n g c a n a l c u r v a t u r e s . I n s t r u m e n t s t e s t e d i n c a n a l s h a v i n g a

    5 - m m r a d iu s o f c u r v a tu r e w i t h a n a n g l e o f c u r v a t u re o f 3 0 d e g r e e s

    s e p a r a t e d a s a r e s u l t o f c y c l i c f a t ig u e . S t r e s s l e v e l s i n d u c e d b y

    l e s s e r c u r v a t u r e s d i d n o t r e s u l t i n in s t r u m e n t s e p a r a t i o n ( o c c u r r i n g

    i n o v e r 3 0 m i n a t a s p e e d o f 2 0 0 0 r p m ) w i t h i n t h e t i m e f r a m e f o r

    t h e t e s t a p p a ra t u s o r d a t a c o l l e c t io n . T h u s , a n g l e s o f c u r v a t u r e o f

    3 0 , 4 5 , a n d 6 0 d e g r e e s w e r e c h o s e n f o r e v a l u a t i o n a t r a d i i o f

    c u r v a t u r e o f 2 a n d 5 m m .

    T o s i m u l a t e i n s t r u m e n t a t i o n c o n d i t i o n s d u r i n g u s e , a c l i n i c a l l y

  • 8/10/2019 cyclic fatigue of NiTi instruments

    3/9

    V o l. 23 N o . 2 F eb ru ary 1997

    o~ = 60 o~z =6 0

    r = rnrn

    A B

    F IG 2 . Rad i us o f c u r v a t u r e and an g l e o f c u r v a t u r e . New m e t ho d o f

    des c r i b i ng c ana l geom e t r y us ing t wo pa r am e t e r s . Rad i us o f c u r v a -

    t u r e ( r) and ang l e o f c u r v a t u r e ( e ) a r e de t e r m i ned on t he s am e t ee t h

    as i n F ig . 1 . T hes e t ee t h ac c u r a t e l y dep i c t t he gu i de t ubes us ed i n

    t h i s s t udy t ha t had a 6 0 - deg r ee ang l e ( (~ 1 = ( x2 ). A ng l e o f c u r v a t u r e

    (c~) i s de t e r m i ne d b y t he ang l e f o r m ed by t h e l ines t ha t i n t e r s ec t a t

    t he c i r c l e s c en t e r . T hes e t wo l ines a r e pe r pe nd i c u l a r t o t he l ines

    d r awn a l ong t he l ong ax es o f t he c o r ona l and ap i c a l po r t ions o f t he

    r oo t c ana l s pac e . P o i n t s a and b a r e t he po i n t s whe r e i n t he c ana l

    dev i a t es f rom t he s t r a i gh t l ines and e i t he r beg i n o r end t he c u r v ed

    po r t i on o f t h e r oo t c ana l s pac e . A ng l e ( (~ ) is t ak en t o be t he ang l e

    f o r m ed by t he a r c in deg r ees be t w een po i n t s a and b . T he

    rc

    l ies

    on a c i r c le w hos e s i z e is s pec i f i ed b y i t s r ad i us, an d t he c i r c le s

    r ad i us is t ak en t o be t he r ad i us o f c u r v a t u r e o f t he c ana l i n t ha t l oc a l

    area. The c i r c l e s rad ius i s the rad ius ( r l and r2) o f the cu rved por t i on

    o f t he r oo t c ana l s pac e and de f i nes how ab r up t l y t he c ana l c u r v es .

    T he c an a l geom e t r y o f t hes e t wo t ee t h d i f fe r s on l y i n the r ad i us o f

    curvature ( r~ and

    r 2 ,

    wher eas t he ang l e o f c u r v a t u r e ( ( x1 and (x2)

    equa l s 60 deg r ees . A r ep r es en t s a s weep i ng c ana l c u r v a t u r e hav i ng

    a 5 - m m r ad i us o f c u r v a t u r e ( r l) . B r ep r es en t s an ab r up t c ana l c u r-

    vatu re hav ing a 2-m m rad ius o f curv ature ( r2) . C l i n i ca l ly , the rad ius o f

    c u r v a t u re a n d a n g l e o f c u r v a tu r e o f a n y r o o t c a n a l s p a c e c o u l d b e

    m eas u r ed us i ng t h is t ec hn i que w i t h t he a i d o f a c i r c le gauge .

    a p p l i c a b l e h e a d t o r q u e l o a d w a s d e t e r m i n e d . D a t a w e r e o b t a i n e d

    b y m e a s u r i n g t h e r e s u l t a n t t o r q u e w h e n h i g h l y c a l c i f i e d c an a l s i n

    l o w e r c e n t r a l i n c is o r s w e r e i n s t r u m e n t e d w h i l e m o u n t e d i n a d y -

    n a m o m e t e r . C a n a l p r e p a r a t i o n w i t h s u c c e s s i v e l y l a r g e r L i g h t s p e e d

    i n s t r u m e n t s w a s p e r f o r m e d . W h e n s m a l l i n s t r u m e n t s d i d n o t a c -

    t i v e l y e n g a g e a n d c u t t h e d e n t in w a l l s d u r i n g t h e p r e p a r a t i o n o f

    l o w e r c e n t r a l i n c i s o r s , n o p e r c e p t i b l e t o r q u e v a l u e s c o u l d b e r e -

    p e a t a b l y r e c o r d e d . W h e n a c t i v e d e n t i n c u t t i n g o c c u r r e d , r e c o r d e d

    t o r q u e v a l u e s r a n g e d f r o m 6 t o 1 4 g - c m . T h e r e f o r e , a p r e se t t o r q u e

    o f 1 0 g - c m w a s a p p l i e d t o t h e t e s t i n s t ru m e n t s d u r i n g a l l o f t h e t e s t

    c o n d i t i o n s .

    S i z e 3 0 a n d 4 0 L i g h t s p e e d i n s t r u m e n t s ( L i g h t s p e e d T e c h n o l -

    o g i e s , I n c . , S a n A n t o n i o , T X ) w e r e e v a l u a t e d . L i g h t s p e e d i n s t r u -

    m e n t s w e r e c h o s e n b e c a u s e t h e i r n o n c u t t i n g s h a f t s o f f e r t h e a d -

    v a n t a g e s o f p r e d i c t a b l e s h a f t d i a m e t e r s . T h i s a l s o e l i m i n a t e d t h e

    v a r i a b l e s o f i n s t r u m e n t t a p e r a n d f l u t e d e s i g n o n m e t a l f a t i g u e a n d

    b r e a k a g e . S i z e 4 0 w a s s e l e c t e d b e c a u s e i t i s t h e m i n i m u m m a s t e r

    a p i c a l s i z e a d v o c a t e d f o r th e L i g h t s p e e d t e c h n i q u e . S i z e 3 0 w a s

    s e l e c t e d b e c a u s e i t is c o m p a r a t i v e l y s m a l l e r i n s i z e a n d h a s a h e a d

    d e s i g n t h a t i s n e a r l y p a r a l l e l . I n a d d i t i o n , L i g h t s p e e d i n s t r u m e n t s

    w e r e c h o s e n b e c a u s e t h e i r u s e h a s b e e n a d v o c a t e d o v e r a w i d e

    r a n g e o f o p e r a t i n g s p e e d s . T e n i n s t r u m e n t s o f e a c h s i z e w e r e t e s te d

    i n e a c h o f t h e s i x d i f f e r e n t e x p e r i m e n t a l c a n a l s h a p e s ( 3 a n g l e s c ~

    e a c h o f 2 r a d i i r ) at t h r ee d i f f e r e n t s p e e d s ( 7 5 0 , 1 3 0 0 , a n d 2 0 0 0

    r p m ) . T h i s p r o d u c e d 1 8 t e s t g r o u p s f o r e a c h i n s t r u m e n t s i z e . E a c h

    i n s t r u m e n t w a s o p e r a t e d t o f a i l u r e .

    C yc l i c F a t i g u e o f N i - T i R o t a ry I n s t ru m e n t s 79

    Ni-Ti L ightspeed Inst rument

    Tes t Suppor t B lock

    Gu ide Tube

    Ho lddown

    .~ , . C lamp

    Dynamomete r Co l l e t

    L

    I npu t sha f t t o dynamomete r , da ta aqu i s i t ion compu te r

    F IG 3 . T es t appa r a t us . Cu t - awa y v i ew o f a L i gh t s peed i ns t r um e n t

    i ns e r ted t h r ough t he l um en o f a s t a i n l es s -s t ee l gu i de t ube c l am ped

    i n t he dy n am om et e r c o l le t . T he i ns t r um en t s hank bu t t s up aga i ns t

    t he end o f t he gu i de t ube , ens u r i ng t ha t eac h i ns t r um en t was p l ac ed

    t o t he s am e dep t h w i t h i n t he a r t i f i c i a l c ana l . T he dy nam om et e r

    a l l owed f r ee r o t a t i on o f t he i ns t r um en t du r i ng t he c y c l ic f a t i gue t es t ,

    y e t was c apab l e o f app l y i ng t o r s i ona l p r e l oad t o s i m u l a t e c l i n i c a l

    u s e ,

    B o t h r a d i u s o f c u r v a t u r e a n d a n g l e o f c u r v a t u r e w e r e u s e d t o

    d e f i n e a c c u r a t e l y t h e c u r v a t u r e s o f a r t i f i c i a l c a n a l s u s e d i n t h i s

    s t u d y . A r t i f i c i a l c a n a l s w e r e f a b r i c a t e d f r o m 1 8 - g a u g e , s t a i n l e s s -

    s t e e l n e e d l e s h a v i n g a n i n t e r n a l d i a m e t e r o f 0 . 8 3 r a m . R e f e r e n c e

    r a d i i w e r e m e a s u r e d t o t h e i n n e r a s p e c t o f t h e c u r v e o f t h e g u i d e

    t u b e s . A 2 - m m r a d i u s r e p r e s e n t e d a n a b r u p t c u r v a t u r e ; a n d a 5 m m

    r a d i u s r e p r e s e n t e d a s w e e p i n g c u r v a t u r e ( F i g . 2 ) , e a c h w i t h a n g l e s

    o f c u r v a t u r e o f 3 0 , 4 5 , a n d 6 0 d e g r e e s . T h i s r e s u l t e d i n s i x a r t i f i c ia l

    c a n a l s . O n e e n d o f t h e a r t if i c i a l c a n a l b u t t e d a g a i n s t t h e f l a t s h a n k

    o f t h e i n s t ru m e n t , a n d t h e c e n t e r o f ra d i u s i n t h e c u r v e d s e g m e n t

    o f t h e c a n a l w a s 7 m m f r o m t h e t i p o f t h e i n s t r u m e n t ( F i g . 3 ) . T h e

    h e a d o f th e i n s t r u m e n t p r o t r u d e d - 2 m m f r o m t h e a r t if i c i a l c a n a l .

    A t e s t s t a n d ( F i g . 3 ) w a s c o n s t r u c t e d t h a t a l i g n e d t h e i n n e r a s p e c t

    o f t h e a r ti f i c ia l c a n a ls w i t h t h e c e n t e r l i n e o f t h e d y n a m o m e t e r a n d

    h e l d t h e m s e c u r e l y i n p l a c e . I n s t r u m e n t s w e r e i n s e r t e d t h r o u g h t h e

    c a n a l s , a n d t h e h e a d s w e r e c l a m p e d i n t h e c o l l e t o f t h e M a g t r o l

    D y n a m o m e t e r ( M a g t r o l , I n c . , B u f f a l o , N Y ) . C l a m p e d i n s t r u m e n t s

    c o u l d r o t a t e f r e e l y w i t h i n t h e t u b e a s s e m b l y . A n A s e p t i c o e l e c t r i c

    h a n d p i e c e ( A s e p t i c o m o d e l A E U - 1 7 , A s e p t i c o , In c . , W o o d i n v i l l e ,

    W A ) w a s a t t a c h e d t o t h e i n s t r u m e n t s h a n k . T h e e x p e r i m e n t a l

    o p e r a t i n g s p e e d o f 7 5 0 , 1 3 0 0 , o r 2 0 0 0 r p m w a s a d j u s t e d u s i n g t h e

    d y n a m o m e t e r r e a d o u t t h a t p r o v i d e d a m o r e a c c u r a t e r p m d e t e r m i -

    n a t i o n t h a n d i d t h e r e a d o u t o n t h e A s e p t i c o c o n t r o l b o x . R o t a t i o n

    a t t h e d e s i r e d s p e e d w a s a c h i e v e d b y a c t i v a t i n g t h e A s e p t i c o

    e l e c t r i c h a n d p i e c e .

    T h i s s t u d y u s e d i n s tr u m e n t a ti o n e q u i p m e n t s p e c i f i e d in A D A

    S p e c i f i c a t i o n N o . 2 8 f o r t o r s i o n a l t e s t i n g : t h e M a g t r o l Dynamom

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    80 Pruett et al.

    eter. The dynamometer allows the torque applied to the instrument

    to be preset and measured while the instrument rotates. All instru-

    ments were operated with a head load of 10 g-cm torque. A

    software program (Sunset Resources, Inc., San Antonio, TX) was

    written for an IBM-compatible computer to permit data collection

    while the inst rument was rotating. A n 18-rain time limit for data

    collection was set as limited by the data collection program, but

    instrument separation always occurred within 5 min of beginn ing

    the test. Data collection from the dynamometer consisted of con-

    tinuous torque, and rpm readouts were comprised of 10 averaged

    readings/s. The time of instrument failure was determined when

    the torque values suddenly dropped, indicating instrument separa-

    tion. The number of cycles to failure was calculated from the rpm

    data by multiplying the rpm by the time to failure. Data analyzed

    were the number of cycles to fa ilure for each inst rument tested

    under the specified angle of curvature, radius of curvature, rpm,

    and instrumen t size conditions. Data were analyzed by analysis of

    variance (ANOVA), with the Neuman-Kuels procedure serving as

    the post-hoc test using a 95% confidence level.

    Fractured inst rument fragments were collected by group. Rep-

    resenta tive samples of the fracture surface from the various groups,

    and sizes were examined under scanning electron microscopic

    magnification with a JSM-840 scanning electron microscope

    (Japanese Electronic and Optical Ltd., Japan). Another group of

    instruments was partially cycled (75 to 80% to failure) using mean

    cycles-to-failure data from the matching experimental groups.

    These instruments were then mounted in both unflexed and flexed

    positions with the area of interest visible in side view, and exam-

    ined under scanning electron microscopy (SEM). For comparison,

    new same-sized instruments were mounted in the same manner and

    examined under SEM.

    RESULTS

    Operating rpm

    Multivariable ANOVA indicated that operating rpm was not a

    significant factor affecting cycles to failure (p < 0.10 for size 30;

    p < 0.06 for size 40) (Fig. 4). No difference in cycles to failure

    was recorded between the 750, 1300, and 2000 rpm groups within

    the two instrument sizes. This was further verifi ed by one-way

    ANOVA, wherein only 2 of the possible 36 groups in the size 30

    and 40 instrument groups had cycles to failure that varied when

    rpm was the only independent variable evaluated.

    Instrument Shaft Diameter

    Shaft diameter had a signif icant effect on cycles to failure (p .

    o

    1000

    900

    800

    700

    600

    500

    400

    300

    200

    100

    0

    5ram Radius 2ram

    Radius

    SIZE 40

    30 degrees ~ 45 degreee ~ 60

    degrees

    FIG 6. E ffect of angle of curvature. Angle subgro ups are arranged

    according to radius of curvature for size 30 (A) and 40 (B) instru-

    ments. Forty-five degree or 60-degree angles in both instrument

    size groups had significantly fewer cycles to failure than the 30-

    degree angle groups (*). The size 40, 2-mm radius subgroup varied

    from this pattern, w ith all angles having significantly different cycles

    to failure (** and ***).

    meri t s ize exis t , which s igni f icant ly reduce ins t rument cycl ic fa-

    tigue life.

    There i s a c lear need for the developmen t of a tes t protocol for

    the cycl ic fa t igue of Ni-Ti , engine-dr iven rotary ins t ruments .

    Brantle y et al . 10) and Luebke et al. 11), in studies on stainless-

    s tee l rotary ins t ruments , have a lso advocated the dev elopmen t of a

    cycl ic fa t igue tes t protocol that s imulates c l in ica l condi t ions of

    ins t rument use . Serene e t a l . 2) publ ished a shor t volume on Ni-Ti

    instruments, including results from a preliminary study on rotation

    to breakage cycl ic fa t igue) of hand ins t ruments . A s igni f icant

    di f ference was found between c onvent ional s ta inless-s tee l f i les and

    all Ni-Ti fi le groups. It was also noted that in rotation-to-breakage

    studies of Ni-Ti f i les that a l lowed f ree t ip rota t ion, the range of

    resul ts wi thin each same-s ize group was large and unpredic table .

    That pre l iminary informat ion on rota t ion- to-breakage of hand in-

    struments stated that the instruments were rotated in a 90-degree

    metal tube until they broke. Defining the test parameters in such a

    l imi ted manner , w i thout s t r ic t ly control l ing the var iables of curv e

    geometry, may expla in the var iabi li ty in rota t ion- to-breakage cy-

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    82 Pruett et al Journal of Endodont ics

    FIG 7. Location of separation. Ran domly selected size #40 Light-

    speed instruments that w ere cycled to failure. All instruments tested

    showed the same pattern of separation, with fractures occurring

    within the guide tube at the midpoint of the curved segment.

    D

    FIG 8. Partially separated instruments. Partially separated instru-

    ments ap pear normal to the eye (A), and under SEM evaluation in an

    unflexed state at x150 original magnification (B).

    A r r o w s

    indicate

    the location of the fracture in-the unflexed instrument, which is

    closed and not apparent. Upon mounting the instrume nt shaft in a

    flexed (stressed) position (C), incomple te fractures be came appar-

    ent under SEM examination at x150 original magnification (D).

    A r r o w s

    indicate the same site of exam ination of the instrument shaft,

    which corre lated to the midpoint of the curved segment of the guide

    tube.

    cles to fa i lure) resul ts and the conclus ion drawn concerning N i-Ti

    ins t ruments . Parameters including radius of curvature , angle of

    curvature, instrument size, and the point of maximal instrument

    f lexure were a l l found to have a s igni f icant ef fec t on the number of

    cycles to fa i lure and locat ion of breakage in our s tudy. Al l of these

    factors should be considered when developing a tes t protocol for

    the examinat ion of cycl ic fa t igue .

    Mathemat ics and engineer ing pr inciples 14) suggest tha t a

    system is needed that describes canal geometry in terms that

    consistently describe the state of stress and cyclic fatigue on a

    f lexed ins t rument shaf t . The independent var iables that descr ibe

    canal shape are radius of curvature and angle of curvature . The

    usual method of measur ing canal curvature publ ished by Schneider

    15) in 1971 provides a means of estimating canal shape using a

    single parameter: an estimated arbitrary angle Fig. 1). This

    method does not consider radius of curvature as a measurable

    aspect of canal geometry. Using only one parameter to descr ibe

    canal shape does not d i f ferentia te the canal shape by abruptness o r

    radius of curvature. Two canals measured at the same angle in

    FIG 9. S tages of instrument fracture. A show s the fracture surface of

    a size #30 instrume nt at 300 original magnification. The b o x e d a r ea

    is enlarged in B having a x190 0 original magnification. The

    aster isk

    indicates the area of crack init iation on the periphery. Crack p rop-

    agation is seen in B as striations marked by the ar rows Each

    striation represents a jump in the fracture surface that occurred

    under tension in that area during rotation. Ultimate ductile fracture is

    seen in the central area of A, characterized by the presence of

    microvoid formations and dimpling.

    degrees by the S chneider method could have ve ry di f ferent radi i or

    abruptness of curvatures, thus having a very different impact on the

    di f f iculty of canal ins t rumentat ion and ins t rument fa t igue .

    The more exact method of determining canal curvature and

    geometry descr ibed in th is s tudy considers the radius of curvature

    r) and the angle of curvature a) separately Fig. 2). Thes e are

    terms that mathema tically specify the shape factors of a curved

    root canal sys tem. The radius of curvature in mi l l imeters) i s the

    radius of a circle that coincides with the path taken by the canal in

    the area of the most abrupt curvature. A more abrupt curve cor-

    responds to a smal ler radius of curvature . The angle of curvature

    is the degrees arc formed between the points of devia t ion on the

    ci rc le, or the angle formed between the perpendicular l ines drawn

    from the tangents in tersecting at the center of the circle Fig. 2).

    The angle of curvature i s independent of the radius . Thus , two

    canals wi th the same degree of curvature can have radical ly di f -

    ferent radii . Pilot studies were required to define systematically the

    range of parameters for th is s tudy on cycl ic fa t igue . The radi i of

    curvature and angles of curvature chosen could be considered so me

    of the more s igni f icant tha t are encountered in c l in ica l pract ice .

    When the s imulated canals in th is s tudy were measured us ing the

    Schneider method, the 2-mm radius , 30- , 45- , and 60-degree angle

    groups measured 26, 40, and 52 degrees , respect ively . The 5-mm

    radius, 30-, 45-, and 60-degree angle groups measured 24, 35, and

    43 degrees , respect ively . Authors have c i ted average canal curva-

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    V o l . 23 N o . 2 F eb ru ary 1997

    t u r e s f o r m a n d i b u l a r m o l a r s m e a s u r e d u s i n g t h e S c h n e i d e r m e t h o d

    b e t w e e n 2 0 t o 3 0 d e g r e e s , w i t h r a n g e s b e t w e e n 6 t o 4 8 e g r e e s

    ( 1 6 ) . O u r 3 0 - d e g r e e a n g l e g r o u p s a r e w e l l w i t h i n t h e a v e r a g e s o f

    c a n a l m e a s u r e m e n t t o b e c l i n i c a l l y r e l e v a n t , w h e r e a s t h e a n g l e s

    l a r g e r t h a n 3 0 d e g r e e s w o u l d b e e x p e c t e d t o b e e n c o u n t e r e d l e s s

    f r e q u e n t l y .

    O f t h e t w o c a n a l - s h a p e p a r a m e t e r s , a n g l e a n d r a d i u s o f c u r v a -

    t u r e , r a d i u s o f c u r v a t u r e w a s t h e m o s t s i g n i f i c a n t f a c t o r o f c a n a l

    s h a p e a f f e c t i n g t h e n u m b e r o f c y c l e s t o f a i l u r e o f N i - T i , e n g i n e -

    d r i v e n r o t a r y i n s t r u m e n t s . C o n s i s t e n t l y , a d e c r e a s e i n t h e ra d i u s o f

    c u r v a t u r e f r o m 5 m m t o 2 m m r a d i u s r e s u l t e d i n a s i g n i f i c a n t

    d e c r e a s e i n t h e n u m b e r o f c y c l e s t o fa i l u r e ( F ig . 6 ) . E x p l a n a t i o n o f

    t h e e f f e c t o f r a d i u s i s c o m p l e x , b u t c a n b e g r o s s l y s i m p l i f i e d b y

    s t a ti n g t h a t s t r e ss o n t h e i n s t r u m e n t i s i n v e r s e l y p r o p o r t i o n a l t o t h e

    r a d i u s o f c u r v a tu r e . T h e r e f o r e , a s t h e r a d i u s o f c u r v a t u r e d e c r e a s e s ,

    i n s t r u m e n t s t r e s s a n d s t r a i n i n c r e a s e s , a n d t h e f a t i g u e l i f e d e -

    c r e a s es . T o o u r k n o w l e d g e , r a d i u s o f c u r v a t u r e h a s n o t b e e n

    p r e v i o u s l y c o n s i d e r e d a s a s e p a r a t e i n d e p e n d e n t v a r i a b l e i n a n y

    i n s t r u m e n t a t i o n s t u d y .

    C l i n i c a l l y , t h e s w e e p i n g c u r v a t u r e o f t h e 5 - m m r a d i u s g r o u p s ,

    a l t h o u g h c h a l l e n g i n g , i s a m u c h l e s s d i f f i c u l t c a n a l c u r v a t u r e t o

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    g r o u p s . A b r u p t c u r v a t u r e s p r e d o m i n a t e i n t h e a p i c a l t h i r d o f t h e

    c a n a l o r i n d i l a c e r a t e d r o o ts . B o t h c o n d i t i o n s a r e a s s o c i a t e d w i t h a n

    i n c r e a s e d i n c i d e n c e o f i n s t r u m e n t s e p a r a t i o n . D e g r e e o f r o o t c u r -

    v a t u r e a n d i n s t r u m e n t s t i f f n e s s h a v e b e e n i m p l i c a t e d i n c a n a l

    p r e p a r a t i o n e r r o r s , s u c h a s i n s t r u m e n t b r e a k a g e , l e d g i n g , b l o c k -

    a g e s , z i p p i n g , a n d p e r f o r a ti o n . H o w e v e r , r a d i u s o f c u r v a t u r e w i t h

    i t s r e s u l t an t i n c r e a s e d s t r e s s o n e n d o d o n t i c i n s t r u m e n t s m a y a l s o b e

    a s i g n i f i c a n t f a c t o r c l i n i c a l l y c o n t r i b u t i n g t o i n s t r u m e n t b r e a k a g e

    a n d c a n a l t r a n s p o r t a t i o n . T h e s e a r e a s s h o u l d b e s t u d i e d m o r e

    t h o r o u g h l y , a n d t h e c l i n i c al e f f e c t o f r ad i u s o f c u r v a t u r e o n i n s t r u -

    m e n t b r e a k a g e a n d r o o t c a n a l p r e p a r a t i o n s h a p e s h o u l d b e m o r e

    c l e a r l y d e f i n e d .

    T h e 3 0 - d e g r e e a n g l e g r o u p s h a d s i g n i f i c a n t l y g r e a t e r c y c l e s t o

    f a i l u r e t h an t h e 4 5 - a n d 6 0 - d e g r e e a n g l e g r o u p s , r e g a r d l e s s o f s iz e

    ( F i g . 6 ) . T h i s w a s a n u n e x p e c t e d r e s u l t w h e n t h e e n g i n e e r i n g

    l i t e r a t u r e w a s r e v i e w e d , w h e r e i n t h e e f f e c t o f a n g l e a l o n e

    s e e m s

    n e g l i g i b l e o r u n c e r t ai n . I t w a s s u s p e c t e d t h a t t h e 0 .8 3 m m d i a m e t e r

    s t a i n l e s s - s t e e l t u b e s u s e d i n t h i s s t u d y , a l t h o u g h a l l o w i n g f r e e

    r o t a t i o n o f t h e i n s t r u m e n t s , d i d n o t s u f f i c i e n t l y c o n s t r a i n t h e i n -

    s t r u m e n t s h a f t s i n th e 3 0 - d e g r e e a n g l e g r o u p s . T h i s l a c k o f c o n -

    s t r a i n t , a l t h o u g h n o t a f f e c t i n g t h e o v e r a l l a n g l e , d i d s l i g h t l y i n -

    c r e a s e t h e e f f e c t i v e r ad i u s o f c u r v a t u r e , a l l o w i n g t h e i n s t r u m e n t

    s h a f t t o f o l l o w a l a r g e r r a d iu s p a t h w i t h i n t h e g u i d e t u b e . D e p e n d -

    i n g o n t h e a n g l e o f th e t u b e a n d t h e i n s t r u m e n t s h a f t d i a m e t e r , t h e

    i n f l u e n c e o f a n g l e o f c u r v a t u r e w a s g e n e r a l l y c o n s i s t e n t i n b o t h t h e

    2 - a n d 5 - r a m g r o u p s . H o w e v e r , i n t h e m o s t h i g h l y s t r e s s e d s t a t e s

    s t u d i e d ( s iz e 4 0 i n s t r u m e n t s i n t h e 2 - r a m r a d i u s ) , i n c r e a s i n g a n g l e

    r e s u l t e d i n a s i g n i f i c a n t d e c r e a s e i n c y c l e s t o f a i l u r e b e t w e e n a l l

    t h r e e a n g l e g r o u p s . F u t u r e s t u d i e s s h o u l d a d d r e s s t h i s p o t e n t i a l

    v a r i a b l e , m o r e p r e c i s e l y c o n t r o l l i n g i n s t r u m e n t c o n s t r a i n t t h r o u g h -

    o u t t h e d e f i n e d c u r v a t u r e .

    T h e L i g h t s p e e d i n s t r u m e n t i s o n e o f s e v e r a l N i - T i s y s t e m s

    a v a i l a b l e t o t h e p r a c t i t i o n e r . T h e s e i n s t r u m e n t s h a v e a s m a l l c u t -

    t i n g h e a d , w i t h a n o n c u t t i n g p i l o t t i p . T h e s h a f t o f t h e i n s t r u m e n t

    i s

    s m o o t h , n o n c u t t i n g , a n d h a s a d i a m e t e r t h a t i s s m a l l e r t h a n t h e

    h e a d . T h e s e f e a t u r e s m a k e L i g h t s p e e d i n s t r u m e n t s g o o d e x p e r i -

    m e n t a l i n s t r u m e n t s i n s e v e r a l re s p e c t s . I n p a r ti c u l a r , t h e d e s i g n o f

    t h e a p p a r a tu s u s e d f o r c y c l i c f a t ig u e t e s t i n g c o u l d b e s i m p l i f i e d ,

    a l l o w i n g t h e a p p a r a t u s t o c r e a t e t e s t s t r e s s e s s i m i l a r t o t y p i c a l

    C yc l i c F a t i g u e o f N i - T i R o t a ry I n s t ru m en t s 83

    f a t ig u e - t es t e q u i p m e n t c o m m o n l y u s e d i n o t h e r m e t a l l u r g i c a p p l i -

    c a t i o n s . T h e s l e n d e r s h a f t a l lo w s q u i t e s e v e r e b e n d s w i t h o u t p e r -

    m a n e n t d e f o r m a t i o n , t h u s l e n d i n g i t s e l f t o a w i d e r r a n g e o f c u r -

    v a t u r e c o n d i t i o n s . A p r e d i c t a b l e m e t a l s h a f t d i a m e t e r e l i m i n a t e d

    h a v i n g t o a c c o u n t f o r a d d i t i o n a l v a r i a b l e s , s u c h a s i n s t r u m e n t

    f l u t e s an d t a p e r . T h e s e c h a r a c t e r i s ti c s , h o w e v e r , d o n o t p r e v e n t t h e

    s e p a r a t i o n o f L i g h t s p e e d i n s t r u m e n t s . A l l i n s t ru m e n t s t e s t e d i n th i s

    s t u d y s e p a r a t e d w i t h i n a 5 - m i n t i m e l i m i t .

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    s t u d y w a s t h a t o p e r a t io n h a s b e e n a d v o c a t e d o v e r a w i d e r a n g e o f

    s p e e d s . T o i n v e s t i g a t e t h e e f f e c t o f r p m o n c y c l i c f a t i g u e , t e s t in g

    w a s p e r f o r m e d a t 7 5 0 , 1 3 0 0 , a n d 2 0 0 0 r p m . T h e t h r e e r p m g r o u p s

    w e r e n o t s t a t i s t i c a l l y d i f f e r e n t f r o m o n e a n o t h e r ( F i g . 4 ) . U p o n

    r o t a t io n , r i s i n g s t r es s l e v e l s c a u s e m o v e m e n t o f d i s l o c a t i o n d e f e c t s

    a n d b r e a k s a t o m i c b o n d s w i t h i n t h e c r y s t a l l i n e m a t r i x o f t h e a l l o y ,

    l e a d i n g t o c r a c k i n i t ia t i o n a n d p r o p a g a t i o n . T h e s h a r p n e s s o f t h e

    c r a c k t i p c a u s e s e x t r e m e s t r e s s c o n c e n t r a t i o n e x c e e d i n g t h e

    s t r e n g t h o f t h e m e t a l a t t h e c r a c k t i p i n t e n s i o n . T h e f r a c t u r e

    p r o p a g a t e s a s h o r t d i s t a n c e u n d e r t e n s i o n , t h e n d u c t i l e d e f o r m a t i o n

    b l u n t s t h e c r a c k t i p , s t o p p i n g t h e p r o p a g a t i o n . I n t h e o t h e r h a l f o f

    t h e c y c l e , u n d e r c o m p r e s s i o n , t h e a l l o y b u c k l e s m i c r o s c o p i c a l l y

    a n d t h e c r a c k r e s h a r p e n s ( 9 ) . T h i s m i n u t e p r o p a g a t i o n o c c u r s o n

    t h e o r d e r o f 1 0 - 6 s o r a p p r o x i m a t e l y a t t h e s p e ed o f s o u n d i n m e t a l

    ( l 7 ) , a n d t h e p r o p a g a t i o n e v e n t i s c o m p l e t e d m u c h f a s t e r th a n t h e

    i n s t r u m e n t i s r o t at i n g . T h u s , c y c l i c f a ti g u e a n d t h e u l t i m a t e n u m b e r

    o f c y c l e s t o f a i l u r e ar e u n a f f e c t e d b y t h e r p m .

    I t i s i m p o r t a n t t o r e c o g n i z e t h a t a n i n s t r u m e n t h a s a m e a n

    n u m b e r o f c y c l e s t o f a i l u r e t h a t is d e t e r m i n e d b y s p e c i f i c p a r a m -

    e t e r s o f c a n a l ra d i u s , c a n a l a n g l e , a n d i n s t r u m e n t d i a m e t e r . A

    h i g h e r r p m w i l l c o n s u m e t h e u s e f u l l i f e o f t h e i n s t r u m e n t m u c h

    f a s t e r t h a n a l o w e r r p m . T h u s , a l o w e r r p m w o u l d b e b e n e f i c i a l a n d

    p r o v i d e a g r e a t e r c li n i c a l li f e , m o r e s l o w l y u s i n g t h e f i n i t e n u m b e r

    o f c y c l e s t o f a i l u r e a v a i la b l e . T h i s i s e s p e c i a l l y t r u e w h e n a N i - T i

    r o t a r y i n s t r u m e n t i s u s e d i n s e v e r e c u r v a t u r e c o n d i t i o n s s u s p e c t e d

    t o i n d u c e s t re s s f a ti g u e . A l t h o u g h a w i d e r a n g e o f o p e r a t i n g s p e e d s

    h a s b e e n a d v o c a t e d f o r N i - T i , e n g i n e - d r i v e n s y s t e m s , t h o s e r e c -

    o m m e n d a t i o n s m u s t t a k e i n t o a c c o u n t m o r e t h a n j u s t c y c l i c f a t i g u e

    a s a c au s e o f i n s t r u m e n t s e p a r a t io n . N o n e t h e l e s s , t h e e f f e c t o f r p m

    w h e n s t u d y i n g t h e b r e a k a g e o f N i - T i i n s t r u m e n t s h a s n o t b e e n

    p r e v i o u s l y e x a m i n e d a n d , i n t h e p r e s e n t t e s t c o n d i t i o n s , r p m h a d n o

    e f f e c t o n c y c l e s t o f a i l u r e .

    T h e r e s u l t s o f o u r i n v e s t i g a t i o n c o n f i r m e d t h a t i n s t r u m e n t l i f e

    s p a n i s i n v e r s e l y p r o p o r t i o n a l t o i n s t r u m e n t s i z e 0 2 , 1 3 ) an d t h a t

    m e t a l f a t i g u e i s d e e p l y i m p l i c a t e d i n f i l e b r e a k a g e ( 2 , 8 ). L a r g e r

    d i a m e t e r i n s t r u m e n t s h a d a l o w e r f a t i g u e l i f e , r e s u l t i n g i n s i g n i f -

    i c a n t l y f e w e r c y c l e s t o f a i l u r e t h a n s m a l l e r d i a m e t e r i n s t r u m e n t s

    ( F i g . 5 ) . T h e d i f f e r e n c e i n a v e r a g e s h a f t d i a m e t e r s b e t w e e n

    t h e s e

    t w o i n s t r u m e n t s i s o n l y 0 . 0 4 6 r a m . T h e l a r g e r d i a m e t e r i n s t r u m e n t

    w a s u n d e r m o r e s t r e ss w i t h i n t h e c o n f i n e s o f a d e f i n e d c u r v a t u r e .

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    f a i l u r e , la r g e r i n s t ru m e n t s s h o u l d n o t b e c o n s i d e r e d s a f e r o r s t r o n -

    g e r i n c l i n i c a l p r a ct i c e . I n f a ct , r o t a r y N i - T i i n s t r u m e n t s w i t h l a r g e r

    d i a m e t e r s w o u l d b e e x p e c t e d t o s e p a r a t e a t f e w e r c y c l e s t h a n

    s m a l l e r d i a m e t e r i n s t r u m e n t s .

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    m e a n n u m b e r o f c y c l e s to f a i l u r e f o r e i t h e r s i z e 3 0 o r 4 0

    L i g h t s p e e d i n s t r u m e n t d u r i n g c l i n i c a l u s e . T w o i m p o r t a n t p o i n t s o f

    e x p l a n a t i o n a r e re q u i r e d . F i r s t , th e p o i n t o f m a x i m a l f l e x u r e i n t h e

    c u r v a t u r e a n d , t h e r e f o r e , t h e s t r e s s o n t h e i n s t r u m e n t d u r i n g t h i s

    s t u d y w a s i n a c o n s t a n t f i x e d l o c a t i o n u n t i l s e p a r a t i o n o c c u r r e d .

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  • 8/10/2019 cyclic fatigue of NiTi instruments

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    p e c t e d , a s c o n c l u d e d b y D e d e r i c h e t a t . ( 1 2 ) e x a m i n i n g s t a i n l e s s -

    s t e e l i n s t r u m e n t s , to s i g n i f i c a n t l y e x t e n d i n s t r u m e n t l if e . N i - T i

    i n s t r u m e n t m a n u f a c t u r e r s s u g g e s t t h a t th e s e i n s t r u m e n t s b e u s e d

    w i t h c o n t i n u o u s a x i a l m o t i o n i n t h e c a n a l . L i n g e r i n g a t a s i n g l e

    d e p t h i n t h e c a n a l w o u l d c l o s e l y d u p l i c a t e t h e t e s t c o n d i t i o n s o f

    t h i s s t u d y , s i g n i f i c a n t l y r e d u c i n g t h e f a t i g u e l i f e o f a n i n s t r u m e n t

    a t a s p e c i f i c p o i n t a l o n g t h e i n s t r u m e n t s h a ft . T h i s m o d e o f o p e r -

    a t i o n i s d i s c o u r a g e d a n d s h o u l d b e a v o i d e d .

    S e c o n d , e n g i n e e r i n g a p p l i c a t i o n s o f N i - T i a l l o y s h a v e b e e n

    e x t e n s i v e l y i n v e s t i g a t e d ( 1 8 - 2 0 ) , a n d t h e f a t i g u e b e h a v i o r o f N i - T i

    a l l o y s h a s b e e n s h o w n t o b e r e l a t e d t o t h e s t a t i c y i e l d s t r es s o f t h e

    a l l o y . A t l o w s t a ti c s t r e ss , t h e a l l o y e x h i b i t s l i n e a r s t r ai n . O n c e t h e

    s t r e ss r i s e s a b o v e t h e y i e l d s t r e s s , s m a l l i n c r e a s e s i n t h e s t re s s w i l l

    g i v e r i s e t o l a r g e i n c r e a s e s i n s t r a i n t h a t , u n l i k e m o s t m e t a l s , a r e

    r e v e r s i b l e . T h i s i s t h e s o - c a l l e d s u p e r e l a s t i c c h a r a c t e r i s t i c . N i - T i

    f a t i g u e t e s ts c o n d u c t e d b e l o w t h e y i e l d s t r e s s g i v e r e s u l t s s i m i l a r to

    f e r r o u s a l l o y s , s u c h a s s t a i n l e s s s t e e l . F a t i g u e t e s t s c o n d u c t e d

    a b o v e t h e y i e l d s t r es s i n t h e s u p e r e l a s t i c r a n g e g i v e s r i s e t o d i s t i n c t

    l o w - c y c l e f a t i g u e b e h a v i o r ( 1 8 ) , w h i c h r e s u l t s i n v e r y r a p i d r e d u c -

    t i o n s i n f a t i g u e l i f e w i t h i n c r e a s i n g s t r e s s. T h i s l o w - c y c l e f a t i g u e

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    s t u d i e s u s e d t o d e t e r m i n e t h e t e s t p a r a m e t e r s s u g g e s t e d t h a t t h e

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    y i e l d s t r e s s , o c c u r r e d b e t w e e n a n g l e s o f 2 5 t o 3 0 d e g r e e s w h e n a

    s i z e 3 0 i n s t r u m e n t p a s s e d t h r o u g h a 5 - r a m r a d i u s c u r v a tu r e . A t 3 0

    d e g r e e s , l o w - c y c l e f a t i g u e b e h a v i o r r e s u l t e d . A t 2 5 d e g r e e s a n d

    b e l o w , t h e f a t i g u e li f e w a s i n d e f i n i t e l y l o n g , s u g g e s t i n g e l a s t ic

    d e f o r m a t i o n o f t h e a l l o y . B e i n g t e s t e d i n t h e s u p e r e l a s t i c s t a te a l s o

    h e l p s e x p l a i n t h e s i g n i f i c a n t d i f f e r e n c e s i n t h e t e s t g r o u p s w h e n

    s t r e s s e s w e r e i n c r e a s e d b y d e c r e a s i n g t h e r a d i u s o f c u r v a t u r e o r

    i n c r e a s i n g t h e a n g l e o f c u r v a t u r e ; b o t h r e s u l t e d i n i n c r e a s e d s t r a in .

    M o s t c l i n i c a l a p p l i c a t i o n s o f N i - T i i n s t r u m e n t s w i l l a t l e a s t p e r i -

    o d i c a l l y i n v o l v e th e s u p e r e l a s t i c f l e x u r e o f t h e s e i n s t r u m e n t s , t h u s

    t h e n e e d t o u n d e r s t a n d t h i s b e h a v i o r . I t i s d i f f i c u l t t o e s t i m a t e t h e

    s t r e s s l e v e l i n a n i n s t r u m e n t d u r i n g u s e , b u t t h e d e g r e e t o w h i c h i t

    i s s t r a i n e d o r f l e x e d c a n b e m o n i t o r e d t h r o u g h k n o w l e d g e o f t h e

    c a n a l c u r v a t u r e d e t e r m i n e ~ t r a d i o g r a p h i c a l l y . F l e x e d c o n d i t i o n s

    r e s u l t i n g i n c h a r a c t e r i s t i c s o f r e l a t i v e l y l o w s t a i n a n d e l a s t i c d e -

    f o r m a t i o n w o u l d b e e x p e c t e d t o e x h i b i t i n c r e a s e d n u m b e r o f c y c l e s

    t o f a i l u r e s e v e r a l o r d er s o f m a g n i t u d e h i g h e r t h a n t h o s e d e t e r m i n e d

    in th is s tudy (18) .

    A l l i n s t r u m e n t s t e s t e d s e p a r a t e d a t t h e p o i n t o f m a x i m u m f l e x -

    u r e w i t h i n th e c u r v e d s e g m e n t o f t h e tu b e , w h e r e i n t h e s t r e s s o n t h e

    i n s t r u m e n t w a s g r e a te s t ( F i g . 8 ). T h e f r a c t u r e d s u r f a c e s s e e m e d

    s i m i l a r t o t h o s e p r e v i o u s l y o b s e r v e d f o r f a t i g u e t e s t i n g ( 1 i ) . U n -

    f l e x e d , p a r t i a ll y f r a c t u r e d N i - T i i n s t r u m e n t s s e e m e d n o r m a l w i t h -

    o u t p e r m a n e n t p l a st i c d e f o r m a t i o n. U n d e r f l e x u re , o p e n i n g o f t h e

    f r a c t u r e s w a s e v i d e n t a n d g e n e r a l l y s e e m e d t o b e a s s o c i a t e d w i t h

    f l a w s o n t h e i n s t r u m e n t s ur f a ce d i r e c t ly i n t h e a r e a o f m a x i m u m

    f l e x u r e . N o i n s t r u m e n t s p e c i m e n s e p a r a t e d a t o r j u s t b e h i n d t h e

    h e a d o f t h e i n s t r u m e n t i n a s u c c e s s f u l t e s t t o i ts c y c l i c f a t i g u e l i m i t .

    T h i s c o n t r a d i c t s r e p o r t s s u g g e s t i n g t h a t t h e C a n a l M a s t e r i n s t r u -

    m e n t d e s i g n i s p r o n e t o s e p a r a t i o n j u s t b e h i n d t h e h e a d o r i n t h e

    a p i c a l t h i rd . S t a t i c t o r s i o n a l s t u d ie s h a v e s h o w n t h a t s e p a r a t i o n o f

    J o u r n a l o f E n d o d o n t i c s

    N i - T i L i g h t s p e e d i n s t r u m e n t s a l w a y s o c c u r re d - - 2 m m b e h i n d t h e

    i n s t r u m e n t h e a d ( 7 ) . T h a t f a i l u r e m o d e i s l i m i t e d t o s t a t i c t e s ti n g .

    I f i n s t r u m e n t s e p a r a ti o n o c c u r s b e h i n d t h e h e a d o f t h e i n s t r u m e n t

    c l i n i c a l l y , tw o e x p l a n a t i o n s a r e p o s s i b l e . F i r st , s e p a r a t i o n o c c u r r e d

    a s t h e r e s u l t o f l o c k i n g o r t o r s i o n a l o v e r l o a d i n g o f t h e i n s t r u m e n t

    h e a d d u r i n g r o t a t i o n . S e c o n d , s t r e s s i n a c u r v e d c a n a l c a n c a u s e

    f a t i g u e f a i l u r e d i r e c tl y b e h i n d t h e h e a d . T h e h e a d i s i n f l e x i b l e a n d

    m u s t p a s s t h r o u g h a n y c u r v a t u r e t h a t t h e s h a f t e x p e r i e n c e s . E x -

    c e s s i v e a p i c a l l y d i r e c t e d f o r c e o n t h e i n s t r u m e n t w i l t c a u s e t h e

    s h a f t t o f le x j u s t b e h i n d t h e h e a d . B o t h c i r c u m s t a n c e s l e a d t o s t r e s s

    c o n c e n t r a t i o n c a u s i n g f a t i g u e d a m a g e , a c c e l e r a t i n g s e p a r a t i o n

    c a u s e d b y b i n d i n g a n d f a t i g u e. S e p a r a t io n o f u n b o u n d i n s t r u m e n t s

    i n t h e a r e a o f t h e m o s t s e v e r e c a n a l c u r v a t u r e s h o u l d a l w a y s b e

    c o n s i d e r e d a r e s u l t o f c y c l i c f a t i g u e w i t h a n y i n s t r u m e n t s y s t e m .

    F u r t h e r s t u d y i s r e q u i r e d t o i m p r o v e t h e u n d e r s t a n d i n g o f c r i -

    t e r i a t h a t m a y b e u s e d t o p r e d i c t N i - T i i n s t r u m e n t fa t i g u e l e a d i n g

    t o s e p a r a ti o n . T h e f a t ig u e o f a n i n s t r u m e n t c a n b e b r o k e n d o w n

    i n t o s t a g es a s e v i d e n t o n S E M e x a m i n a t i o n ( F i g . 9 ) . S t a g e I , c r a c k

    i n i t i a t i o n , i s c h a r a c t e r iz e d b y t h e s m o o t h , a l m o s t f e a t u r e l e s s a r e a a t

    t h e s u r f a c e p e r i p h e r y . T h i s a r e a o f f r a c t u re i n i t i a t i o n m a y b e r e -

    v e r s i b l e t h r o u g h p r o p e r h e a t t r e a t m e n t ( 9 ) . S t e r i l iz a t i o n h a s b e e n

    s u g g e s t e d t o e n h a n c e t h e f a t i g u e l i fe o f N i - T i f i l e s a n d r e v e r s e t h e

    s t r e s s - i n d u c e d m a r t e n s i t e t r a n s f o r m a t i o n t o t h e p a r e n t a u s t e n i t e

    p h a s e ( 2 ) . F u r t h e r m o r e , s t e r i l i z a t i o n m a y r e v e r s e t h e c r a c k i n i t i a -

    t i o n s t a g e o f f r a c t u r e i n N i - T i a l l o y s , b u t t h i s i s a n a r e a f o r f u t u r e

    i n v e s t i g a t i o n . T o r s i o n a l l o a d i n g d u r i n g r o t a t i o n a l u s e i s a n o t h e r

    v a r i a b l e t o c o n s i d e r t h a t m a y d r a m a t i c a l l y i n f l u e n c e th e c y c l i c

    f a t i g u e l i f e o f i n s t r u m e n t s . E n g a g e d i n s t r u m e n t s th a t a r e a c t i v e l y

    c u t t i n g d e n t i n w o u l d b e e x p e c t e d t o h a v e d i f f e r e n t f a t i g u e c h a r a c -

    t e ri s ti c s. T h e c y c l i c f a ti g u e p h e n o m e n o n m a y b e f u r t h e r c o m -

    p o u n d e d b y t h e a d d i t i o n o f f l u t e s t o t h e s h a f t a n d b y i n s t r u m e n t

    t a p e r . F l u t e s c o u l d a c t a s s t r e s s c o n c e n t r a t o r s o n t h e i n s t r u m e n t

    s h a f t, p o t e n t i a l l y r e s u l t i n g i n m o r e r a p i d c r a c k i n i t i a t i o n . I n s t r u -

    m e n t t a p e r e n l a r g e s t h e d i a m e t e r o f t he i n s t r u m e n t i n t h e a r e a o f a

    c o r o n a l c u r v a t u r e , c o m p a r e d w i t h t h e a p i c a l a r e a, t h u s r e s u l t i n g i n

    h i g h e r s t r e s s c a u s e d b y a l a r g e r c r o s s - s e c t i o n a l d i a m e t e r . T h e

    e f f e c t o f i n s t r u m e n t f l u te s a n d c r o s s - s e c t i o n a l d i a m e t e r s i s a n a r e a

    o f c o n c e r n , p a r t i c u l a r ly w i t h t h e i n t r o d u c t i on o f n o n s t a n d a r d i z e d

    t a p e r e d N i - T i i n s t r u m e n t s . T h e s e a r e a s s h o u l d b e a d d r e s s e d i n t h e

    d e s i g n o f N i - T i , e n g i n e - d r i v e n ro t ar y i n s t r u m e n t s a n d w a r r a n t

    fu r the r s tudy .

    S p e c i f ic r e c o m m e n d a t i o n s f o r p r e v e n t i n g b r e a k a g e o f L i g h t -

    s p e e d i n s t r u m e n t s c a n n o t b e d r a w n f r o m t h i s s tu d y . H o w e v e r ,

    b e c a u s e p a r t i a l l y f a t i g u e d i n s t r u m e n t s d i d n o t d e m o n s t r a t e v i s i b l e

    d e f o r m a t i o n , y e t d i d e x h i b i t c r a c k fo r m a t i o n , a g e n e r a l c o n c l u s i o n

    c a n b e m a d e . T o p r e v e n t t h e b r e a k a g e o f N i - T i , e n g i n e - d r i v e n

    i n s t r u m e n t s s e c o n d a r y t o c y c l i c f a t i g u e , i t s e e m s t h a t t h e b e s t

    r e c o m m e n d a t i o n i s t o d i s c a r d t h e m a f t e r a s p e c i f i e d u s e p e r i o d a s

    r e c o m m e n d e d f o r s t a i n l e s s - s t e e l i n s t r u m e n t s . T h a t u s e p e r i o d

    w o u l d b e e x p e c t ed t o v a r y w i d e l y d e p e n d i n g o n i n s t r u m e n t d e s ig n ,

    s i z e , a n d s t re s s e s p l a c e d o n i t b e c a u s e o f th e m a n n e r o f u s e, a n d t h e

    c a n a l c u r v a t u r e p r e p a r e d . I n s o m e s e v e r e a n g l e s h a v i n g a s m a l l

    r a d i u s o f c u r v a t u r e a n d a l a r g e a n g l e o f c u r v a t u r e , d i s c a r d i n g a n

    i n s t r u m e n t a ft e r a s i n g l e u s e m a y b e t h e s a f e s t a d v i c e .

    C a n a l c u r v a t u r e a n d a n g l e h a v e b e e n i m p l i c a t ed i n i n s t r u m e n t

    s e p a r a t i o n . C y c l i c m e t a l f a t i g u e h a s b e e n f u r t h e r i m p l i c a t e d , a s a n

    i m p o r t a n t f a c to r i n i n s t r u m e n t b r e a k a g e . T h i s s t u d y c l e a r l y s h o w e d

    t h a t , i n c y c l i c f a t i g u e t e s t i n g , c y c l e s t o f a i l u r e i s i n v e r s e l y p r o p o r -

    t i o n a l t o i n s t r u m e n t st r e ss . S m a l l e r r a d i u s o f c u r v a t u r e a n d i n -

    c r e a s e d i n s t r u m e n t d i a m e t e r r e su l t e d i n f e w e r c y c l e s t o f a i l u r e

    c a u s e d b y h i g h e r i n s t r u m e n t st r es s . C y c l e s t o f a il u r e w a s n o t

    a f f e c t e d b y o p e r a t i n g r p m , a n d t h e e f f e c t o f a n g l e a l o n e o n c y c l e s

  • 8/10/2019 cyclic fatigue of NiTi instruments

    9/9

    V o l. 2 3 N o . 2 F e b r u a r y 1 9 9 7

    t o f a i lu r e w a s u n c l e a r . N e w N i - T i i n s t r u m e n t s y s t e m s a r e c u r r e n t l y

    b e i n g r e c o m m e n d e d f o r u s e i n a c o n t i n u o u s l y r o t a r y m a n n e r a n d

    a g r o w i n g n u m b e r o f in c i d e n t s o f in s t r u m e n t s e p a r a t io n a r e b e i n g

    i n f o r m a l l y d i s c u s s e d . G i v e n t h e i n c r e a s e d n u m b e r o f N i - T i e n d -

    o d o n t i c i n s t r u m e n t s y s t e m s o n th e m a r k e t t h e s e p r o b l e m s a r e

    l i k e l y t o b e c o m e m o r e c o m m o n . T o d a t e t h e r e is n o te s t p r o t o c o l

    t h a t s e t s m i n i m u m s t a n d a r d s f o r c y c l i c f a t i g u e o f t h e s e i n s t r u -

    m e n t s n o r a r e t h e o p e r a t i n g p a r a m e t e r s o f i m p o r t a n c e y e t f u l l y

    u n d e r s t o o d . T h i s s t u d y c o n c l u d e s w i t h a c a ll f o r a c o m p r e h e n s i v e

    c y c l i c f a t i g u e t e s t s p e c i f i c a t i o n f o r a l l r o t a r y e n d o d o n t i c i n s t r u -

    m e n t s i n c l u d i n g N i - T i i n s t r u m e n t s d e s i g n e d t o b e e n g i n e - d r i v e n

    a n d f u l l y p r e p a r e c u r v e d c a n a ls . F u r t h e r m o r e t h e p a r a m e t e r s o f

    a n g l e o f c u r v a t u r e a n d r a d i u s o f c u r v a t u r e a n d i n s t r u m e n t c r o s s -

    s e c t i o n a l c o r e d i a m e t e r m u s t b e i n c l u d e d i n a n y s u c h s p e c i f i c a t i o n .

    W i t h o u t i n v e s t i g a t i o n o f t h e s e p a r a m e t e r s r e c o m m e n d a t i o n s f o r

    t h e s a fe u s e o f N i - T i e n g i n e - d r i v e n r o t a ry i n s t r u m e n t s w i l l r e m a i n

    s p e c u l a t i v e . T h e r e s u l t s a l s o s u g g e s t t h a t t h e e f f e c t o f t h e r a d i u s o f

    c u r v a t u r e a s a n i n d e p e n d e n t v a r i a b l e s h o u l d b e c o n s i d e r e d i n

    s t u d i e s e v a l u a t i n g r o o t c a n a l i n s t r u m e n t a t i o n .

    Th is s t u d y w a s su p p o r t e d i n p a r t b y a n E n d o d o n t i c S t u d e n t A w a rd f r o m

    the Research and Educat ion Foundat ion o f the Amer i can Associa t i on o f

    Endodont i s ts .

    The op in ions, asse r t i ons, mater ia l s, and m ethodo log ies here in a re p r i va te

    ones o f the au thors and are no t to be c onst rued as o f f i c ia l o r re f lect ing the

    v i e w s o f t h e A m e r i ca n A sso c i a t io n o f E n d o d o n t i s ts o r t h e Fo u n d a t io n .

    We gra te fu l l y acknow ledge David S . P i t tman o f Sunset Resources, Inc.

    San Anton io , TX) fo r mod i fy ing and wr i t i ng the da ta co l l ect i on p rog ram fo r the

    Magt ro l Dynamometer . We express our g ra t i tude to Drs. James A . Gi l l es,

    Wi l l iam A. Walker I l l , and Carlos E. del Rio for thei r advice during art icle

    prepara t ion .

    Drs. P rue t t , C lement , and Carnes are a f f i l i a ted w i th the Depar tment o f

    Endodo nt i cs/Denta l Schoo l , Un ivers ity o f Texas Hea l th S cience Center a t San

    Anton io , San Anton io , TX . Address requests fo r repr in ts to Dr . David L .

    Carnes, Jr . , Depar tment o f Endodont i cs/Denta l Schoo l , Un ivers i ty o f Texas

    Hea l th Science Center a t San Anton io , 7703 F loyd Cur l Dr ive , San Anton io , iX

    78284-7898.

    C y c l i c F a t i g u e o f N i - T i R o t a r y I n s t r u m e n t s 8 5

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    19 . M iyazaki S , Sug aya Y , Otsuka K . E f fects o f var ious facto rs on fa t i gue

    l i fe of Ti-Ni al loys. MRS In t Mtg Aclv Ma ter 1989 ;9:251 -6.

    20 . Tobush i H, Iwanaga H, Tanaka K , Hod T, Sawa da T. S t ress-st ra in -

    tempe ra ture re la t ionsh ips o f T iN i shape m emor y a l loy su i tab le fo r thermo me-

    chanical cycl ing. JSME Int J Series I 1992;35:271-7.

    You Migh t e In te res ted

    A case o f f raud was recen t ly uncovered in wh ich an imposte r had , over the past 25 years , managed to ge t

    a number o f essays and le t te rs to the ed i to r pub l ished in respected journa ls . The JAM A unm asked the rasca l

    because h is wr i t ing s ty le had been recogn ized (BMJ 311 523 , 1995) .

    Of course , there was ano ther c lue . The f ic t ic ious name s igned to a l l those pub l ished le t te rs over a l l those

    ye a rs w a s - -yo u ' l l l o ve t h i s - -T . H . F id d lema n .

    Zachariah eomans