١١/۴/٩٣تاریخ:

حسن حاجی کاظمی دکتر جناب آقاي گروه مهندسی عمران استاد محترم

فردوسی مشهددانشگاه

به پیوست متن ویرایش شده ي مقاله ي » شریف«احتراما ضمن تقدیر و تشکر از حسن همکاري جنابعالی با مجله ي 91226/604/30شماره مرجع به» مدل سازي پی پوسته یی مخرووطی بتن مسلح با شیب هاي مختلف «جنابعالی را با عنوان

حضورتان ایفاد می دارد.این مجله به چاپ برسد، خواهشمند است عمرانبا توجه به اینکه در نظر است مقاله ي مذکور در شماره ي مهندسی

فحه آرایی نهایی ترتیبی اتخاذ فرمایید با توجه به نکات زیر، مقاله ي مربوطه مورد مطالعه قرار گرفته و نظرات آنجناب براي ص در اختیار دفتر مجله قرار گیرد.

الف) از آنجایی که خط مشی مجله در ویرایش مقاالت، حتی االمکان استفاده و بکارگیري واژه هاي فارسی می باشد، لذا با نویسنده استفاده از فرهنگ لغات تخصصی از معادل فارسی برخی اصطالحات بکار رفته استفاده شده است که در صورت تایید

محترم به همین شکل به چاپ خواهد رسید.ب) برخی از قسمت هاي مقاله که براي ویراستار مجله مبهم بوده در داخل متن مشخص شده، خواهشمند است توضیحات الزم

را براي رفع ابهام آنها بیان فرمایید.. ل نموده و براي انجام اقدامات مقتضی حداکثر تا خواهشمند است پس از مطالعه ي این مقاله فرم تایید چاپ ضمیمه را تکمی

در اختیار دفتر مجله قرار دهید. 17/4/93

بر روي مقاله ي پیوست خواهشمند است براي دقت و سهولت انجام کار، اصالحات را به صورت دستیتوجه: (مطابق نمونه ي پیوست فایل) منعکس فرمایید.

ل می فرمایید صمیمانه سپاسگزاري می نماید.قبال از همکاري که دراین مورد مبذو

با احترام

ابوالحسن وفائی

١١/۴/٩٣تاریخ:

ایید چاپ مقاالتفرم ت

»شریف«در مجله ي علمی و پژوهشی

» مدل سازي پی پوسته یی مخرووطی بتن مسلح با شیب هاي مختلف « عنوان مقاله: مرتض شیخی و دکتر حسن حاجی کاظمیمهندس نام و نام خانوادگی نویسندگان:

91226/604/30 ع:شماره مرج

ویرایش کل متن مقاله

موردتایید است پس از انجام اصالحات مورد نظر چاپ شود

توضیحات داخل شکل ها

موردتایید است پس از انجام اصالحات مورد نظر چاپ شود

انتهاي مقاله محل ارجاع پانوشت ها در متن و تطابق آنها در

موردتایید است پس از انجام اصالحات مورد نظر چاپ شود

محل ارجاع منابع در متن و تطابق آنها در انتهاي مقاله

موردتایید است پس از انجام اصالحات مورد نظر چاپ شود

ویرایش چکیده مقاله به انگلیسی

موردتایید است پس از انجام اصالحات مورد نظر چاپ شود

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"CU=|R=UpOt ABAQUS Q=Ri=sQv =@ xm l =N w |W}=tR; |xvwtv R= |rm |}=tvQO |B Q} R u=mtQ}}eD Q=Owtv 'xt=O= QO "CU= xOW xO=O u=Wv 4 pmW QO 'CU= xOW5 pmW QO OwOLt <=RH= |R=UpOt w V}=tR; G}=Dv R= pY=L pOt |xOQ=w Q=@ QF=

3

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R=UpOt"CU= 7 |x]@=Q pmW x@ VvQm w VvD \@=wQ u}vJty

� = (1� d)Del0 : ("� "pl) = Del : ("� "pl) (7)

'�CQ=UN uwO@� Kr=Yt |x}rw= u=UWm |DNU Del0 'x]@=Q u}= QO'CU= |DNU p}rkD Q}eDt d w xDi=}p}rkD u=UWm |DNU Del = (1 � d)Del0sR}v=mt u}= T=U= Q@ 'u}=Q@=v@ "OwW|t h} QaD CQ=UN u=R}t x@ xDU@ 1 =D 0 R= xmu}= T=U= Q@ "Ovm|t =O}B Vy=m p}rLD pw] QO |DNU T} QD=t 'uD@ CUmWT=U= Q@ w CU= u=Um} =yCyH |xty QO x]kv l} QO |DNU Vy=m '|Qw�D|=y\}Lt CQ=UN |=ysR}v=mt 'pwtat C=} Q_v T=U= Q@ "OwW|th} QaD d QDt=Q=B

%CU= 8 |x]@=Q pmW x@ QF-wt VvD |xDUw}B�� = Del0 : ("� "pl) (8)

%OQ=O x]@=Q Vy=m ?} Q[ w QF-wt VvD =@ 9 |x]@=Q =@ R}v |Wwm VvD� = (1� d)�� (9)

K]U C@Uv |xOvyOu=Wv (1 � d) 'pt=a Kr=Yt R= |a]kt K]U Qy |=Q@VvD =@ QF-wt VvD 'd = 0 '|oO}OCQ=UN sOa CQwY QO "CU= |Q@ Q=@ QF-wtVvD T=U= Q@ ,qwtat =Q xD}U}DUqB p�=Ut 'Q=m |DL=Q |=Q@ "Ow@ Oy=wN Q@=Q@ |Wwm|=yQ}eDt |x}=B Q@ QF-wt VvD 'xOWQmP ?r=]t T=U=Q@ "Ovvm|t |R=UpwtQi QF-wtwO =@ ,qkDUt Q=Wi w VWm QO uD@ |oO}OCQ=UN "OwW|t h} QaD |oOWCNU'OvDUy |Q=Wi w |WWm pO=at |Q}tN |=yVvQm ?}DQD x@ xm ~"plc w ~"plt Q}eDt

%�10 |x]@=Q� OwW|t h} QaD

~"pl =

"~"plt~"plc

#(10)

u}= "OvwW|t Q=O}OB |oOWCNU |=yQ}eDt V}=Ri= =@ R}v uD@ |oOWOQN w =ylQD"Ovvm|t pQDvm =Q |DNU T} QD=t Vy=m w s}rUD K]U =yQ}eDt

'Ovm|t |iQat =Q QF-wt VvD |=[i QO K]U l} '' F (�; ~"pl) s}rUD `@=Ds}rUD `@=D pmW 'xt=O= QO "Ovm|t u}}aD =Q CQ=UN =} w CUmW |=yCr=L xmQ@ G u=} QH p}Uv=DB T=U= Q@ |Q}tN u=} QH 'Qo}O |wU R= "OW Oy=wN h} QaD

%Ow@ Oy=wN sm =L 11 |x]@=Q pmW x@ u=} QH uwv=k |x}=B_"pl = _�@G(��)

@��(11)

VvD |=[i QO R}v |Q}tN p}Uv=DB "CU= |Q}tN |ivt=v ?} Q[ _� 'x]@=Q u}= QOxt=O= QO uD@ CQ=UN pOt |=Q@ u=} QH p}Uv=DB |xS} w pmW "OwW|t h} QaD QF-wtw |QwLt lD |Q=PoQ=@ =@ ~"plc w ~"plt |oOWCNU |=yQ}eDt "OW Oy=wN |iQat

"Ov};|t CUOx@ |QwLt OvJ|=y|vLvt pmW x@ u=wD@ =Q |QwLtlDVvQm �VvD|vLvt xm OwW|t ZQi

%CWwv 11 w 10 \@=wQ pmW x@ |Q}tN VvQm � VvD�c = �c(~"plc ;~_"

plc ; �; fi)

�t = �t(~"plt ;~_"plt ; �; fi) (12)

'|Q=Wi w |WWm pO=at |Q}tN VvQm MQv ?}DQD x@ ~_"plc w ~_"plt '\@=wQ u}= QO?}=Q[ Qo}O fi w pO=at |Q}tN |=yVvQm ~"plc =

R t0 ~_"plc dt w ~"plt =

R t0 ~_"plt dt

"CU=yQ}eDt u=O}t

ZQi =@ 2 w 1 |]N |=yx]@=Q T=U= Q@ ?trwm � Qywt pOt '6 pmW j@=]t%OwW|t h} QaD |Q=Wi VvD uOw@|ivt

� = s cos�; � = c� � tan� (1)

� = �m + s sin� (2)

VvD� � |Q=Po|=H =@ "CU= l =N |rN=O l =m]Y= ?} Q[ � '\@=wQ u}= QO� Qywt pOt cos� QO jwi |x]@=Q u}iQ] ?Q[ w �|WQ@ VvD� � w �|Owta

%OwW|t xDWwv 3 \@=wQ pmW x@ ?trwms+ �m sin�� c cos� = 0s = 1

2 (�1 � �3) �m = 12 (�1 + �3) (3)

T=U= Q@ =Q pOt u=wD|t |DL=Q x@ '|Oa@ xU VvD Cr=L w VvD |rm Cr=L QO%OQm u=}@ 4 \@=wQ |=yC@=F w \@=wQ

F = Rmcq � p tan�� c = 0Rmc(�; �) = 1p3 cos�

sin(� + �3 ) + 1

3 cos(� + �3 ) tan� (4)

=Q p � Rmcq VvD |xLiY QO ?trwm � Qywt s}rUD K]U ?}W '\@=wQ u}=|xOWh} QaD V}B |xvt=O w Kr=Yt |rN=O l =m]Y= |x} w=R x@ xm 'OyO|t u=Wv|i=QLv= |@]k |x} w=R � w Kr=Yt |oOv@UJC u}vJty "OQ=O |oDU@ =yQ}eDt

%OwW|t h} QaD 5 \@=wQ pmW x@ xm CU=cos(3�) = (r

q)3

p = �13 trace(�)

q =r3

2 (S : S)

r = (92S:S : S)

13

S = � + pI (5)

VvD swU C@=F r 'pO=at TR}t ui VvD q 'pO=at |Q=Wi VvD p '\@=wQ u}= QO"CU= |i=QLv= VvD S w |i=QLv=

uD@ CQ=UN w CUmW |Qw�D "2"3ABAQUS Q=Ri=sQv QO xm uD@CUmW w CQ=UN pOt Q@ sm =L \@=wQ w |Qw�Dconcrete� OwW|t xO=iDU= OQD x@W Kr=Yt Qo}O w uD@ p}rLD |=Q@u} QD|rY= 'pOt u}= T=U=Q@ "OwW|t |iQat xt=O= QO '�damaged plasticity

|xOvvmW Q=DiQ "CU= Q=Wi QO|oOWOQN wVWm QO|oOQwNlQD 'CUmW sR}v=mt"OwW|t O}OB=v 'O}; OwHwx@ =ylQD |x}L=v QO xOvvmQwYLt O=} R Q=Wi xm|t=ovy uD@u}= R= xO=iDU= =@ l}D=DU=wQO}y O=} R |=yQ=Wi Q}F-=D CLD uD@ Q=DiQ |R=UpOt|O=yvW}B pOt T=U= Q@ ABAQUS |Q}tN CQ=UN pOt "CU}v ?U=vt pOt

"CU= Q=wDU= Fenves[14]w Lee w [13]u=Q=mty w Lubliner

VvQm MQv w _"el u=UWm VvQm MQv <RHwO x@ _" pm VvQm MQv s=o u}rw= QO%�6 |x]@=Q� OwW|t s}UkD _"pl |Q}tN

_" = _"el + _"pl (6)

4

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H=LuU

Lw|N

}W|[DQ

t |x]@=Q 'OW=@ |oO}OxtOY uwO@ Kr=Yt |DNUE0 Qo = "Ovvm|t Q}}eD xO}OCQ=UN%Ow@ Oy=wN 16 |x]@=Q pmW x@ VvQm VvD

�c = (1� dc)E0("c � ~"plc )

�t = (1� dt)E0("t � ~"plt ) (16)

u}= "Ov@=}|t VQDUo VvD CyH Q@ Owta =ylQD '|QwLt lD |=y|Q=PoQ=@ QOQO QF= u}= "O@=}|t V}=Ri= QF-wt VvD w OvwW|t `]kt K]U Vy=m Ea=@ =ylQD|oOWOQN u; `@D x@ w O=} R |Q=Wi |=yQ=@ QO =t= 'OwW|t xO}O QDtm |Q=Wi |=yQ=@

"O@=}|t Vy=m QF-wt |Q@ Q=@

|OOa |R=UpOt "4x@ ABAQUS Q=Ri=sQv QO Cw=iDt |=}=wR =@ |]wQNt |B |O=OaD |R=UpOt =@10 Ct=N[ =@ KrUt uD@ wv R= =yxvwtv u}= "OwW|t xDN=OQB =yv; Q=DiQ |UQQ@Ctw=kt |=Q=O xO=iDU= OQwt uD@ "Ov=xOW h} QaD |DQ=QL |xv}tm QwD=tQ; w QDt|Dv=Uxm Ov=xOW |Q=Pos=v Rxhy CQwYx@ =yxvwtv "CU= p=mU=B=ot 35 |xYNWtu}= "CU= \wQNt `=iDQ= Qov=}@ y w QDt|Dv=U ?UL Q@ xOa=k `=aW Qov=}@ xu}O@ "Ov=xOW pOt ,qt=m u; |=yQwD=tQ; w uD@ 'l =N w CU= |Oa@xU |R=UpOt'30 '20 '0 |=y`=iDQ= w QDt|Dv=U 100 |xOa=k `=aW =@ xvwtv 7 O=OaD ?}DQD

"Ov=xDiQo Q=Qk |UQQ@ OQwt QDt|Dv=U 100 w 80 '60 '40x�=Q= =yp}rLD u}= R= �R100h30� xvwtv l} hrDNt |=yQ=Owtv 'xt=O= QO"OyO|t u=Wv |}=yv Q=@ =D =Q hrDNt \=kv QO |B Q} R u=mtQ}}eD '9 pmW "OwW|t"OyO|t u=Wv =Q |}=yv Q=@ |=Q@ |B ZQa QO |B Q} R u=mtQ}}eD '10 pmW'uD@ |WWm VvD 'uD@ |Q=Wi VvD %|xv}W}@ |=yQ=Owtv '14 |r= 11 |=ypmW=yQ=Owtv QOCkO =@ "OvyO|t u=Wv =Q l =N |Q=WiVvD w =yQwD=tQ; QO OwHwtVvD'Oqwi w uD@ |@=QN =} w u; CUWv xv w l =N |WQ@ CUmW xm OwW|t XNWt

"ABAQUS Q=Ri=sQv QO R100h30 |xvwtv |Ov@u=tr= "8 pmW

"|B Q} R u=mtQ}}eD Q=@ Q=Owtv "9 pmW

lD Q=Wi w VWm QO pO=at VvQm MQv '|QwLt lD Q=@ \}=QW QF= QO u}vJty%OwW|t h} QaD 14 w 13 \@=wQ pmW x@ |QwLt

~_"plt = _"pl11 (13)

~_"plc = � _"pl11 (14)

%CW=O s}y=wN |Q=Wi VvD uOw@C@Ft ZQi =@ 'xt=O= QO�c = ��11

R= |}x]kv Qy QO |vD@ |xvwtv l} |Dkw 'OwW|t xO}O 7 pmW QO xm Qw]u=ty|wU x@ |Q=OQ@ Q=@ MU=B 'OwW |Q=OQ@ Q=@ VvQm � VvD Q=Owtv |oOWsQv |xN=WVy=m u}= "O@=}|t Vy=m u=UWm |DNU T} QD=t w OwQ|t V}B uOWh}a[CQ=@a x@ "CU= Cw=iDt |Q}otWJ Qw]x@|WWm w |Q=Wi |=yV}=tR; u}@|DNUdc w dt Q}eDt wO =@ ,qkDUt |DNU Vy=m "O@=}|t V}=Ri= |Q}tN VvQm 'Qo}O\@=wQ� CU=yQ}eDt u=O}t w =tO '|Q}tN VvQm R= |a@=D OwN xm OwW|t h} QaD

%�15dc = dc(~"plc ; �; fi)

dt = dt(~"plt ; �; fi) (15)

V}=Ri= pO=at |Q}tN |=yVvQm V}=Ri= =@ |QwLtlD |DNU Vy=m |=yQ}eDt,qt=m Kr=Yt |=Q@ 1 =D CQ=UN uwO@ Kr=Yt OQwt QO 0 R= =yQ}eDt u}= "Ov@=}|t

"|QwLt lD |Q=PoQ=@ x@ uD@ MU=B "7 pmW

5

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"l =N |Q=Wi VvD |xv}W}@ Q=Owtv "14 pmW

"ji= \N =@ |B |xQ=w}O |x}w=R � |}=yv Q=@ Q=Owtv "15 pmW

=@ |]wQNt |=y|B |=Q@ hrDNt \=kv QO |B Q} R u=mtQ}}eD Q=Owtv "16 pmW"Cw=iDt |=}=wR

|=yQDt=Q=B |=yxv}tm xm CU= |r=L QO u}= "CU= xawtHt pm CUmW pt=a"CU= xOW xDiQo Q_v QO |rwtat l =N u}= |=Q@ |}xR=U

=@ "CU= xOW x�=Q= |]wQNt |B |x} w=R � |}=yv Q=@ C=Q}}eD '15 Q=Owtv QOu}= QO |B CUmW |rY= pt=a xm l =N Ctw=kt xm s}@=}|tQO Q=Owtv |xar=]tji= =@ xQ=w}O |x} w=R� QDt|Dv=U 80 `=iDQ= x@ |]wQNt |B QO "CU= xOw@ =yxvwtv|B CUWv C=Q}}eD '16 pmW |=yQ=Owtv "OQ=O =Q Q=Okt u} QDW}@ �xHQO 40 OwOL"CU= Cw=iDt |=}=wR =@ |]wQNt |=y|B x@ \w@ Qt |}=yv Q=@ |=Q@ hrDNt \=kv QO

|Q}oxH}Dv "5%CU= G=DvDU= p@=k G}=Dv u}= '=yQ=Owtv j}kO |xar=]t =@

u}= "O@=}|t V}=Ri= |B u=mtQ}}eD V}=Ri= MQv Q=@ V}=Ri= =@ '9 Q=Owtv j@=]t "1"CU= uD@ w l =N |]NQ}e Q=DiQ p}rO x@ xO}OB

�Q=@ Q} R� |B RmQt x@ \w@ Qt |B Q} R 'xv}W}@ u=mtQ}}eD '10 Q=Owtv x@ xHwD =@ "2

"hrDNt \=kv QO |}=yv Q=@ |=Q@ |B Q} R u=mtQ}}eD Q=Owtv "10 pmW

"uD@ |Q=Wi VvD |xv}W}@ Q=Owtv "11 pmW

"uD@ |WWm VvD |xv}W}@ Q=Owtv "12 pmW

"=yQwD=tQ; |WWm VvD |xv}W}@ Q=Owtv "13 pmW

6

|t_=m|

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Lw|N

}W|[DQ

t VywSB u}= QO xOWxDiQo Q_v QO \}=QW |=Q@ xv}y@ |x} w=R u}= "OyO|t u=Wv40 OwOL �|}xv=O l =N |wQ Q@ xDiQoQ=Qk KrUt uD@ |]wQNt |}xDUwB |B�

"CU= xHQOOwOL Q}_v K]Ut |B x@ C@Uv |]wQNt |B |=Q@ xawtHt Ctw=kt V}=Ri= "4QO =y|B xvwo u}= R= xO=iDU= uOw@?U=vt |xOvyOu=Wv OwN xm 'CU= �90

"CU= K]Ut |=y|B =@ xU}=kt

u}= xD@r= "O@=}|t Vy=m u=mtQ}}eD u}= 's} wW QDl}ORv =yx@r x@ xJ Qy "CU=hqDN= u}= "CU}v TwULt |B O=} R |DNU x@ xHwD =@ u=mtQ}}eD Cw=iD

"CU= xOt; CUOx@ �9 OwOL |]wQNt |B w l =N wv u}= |=Q@ CUWv

=D OvwQ u}= "O@=}|t V}=Ri= 'xawtHt Ctw=kt '|}xDUwB |B |x} w=R V}=Ri= =@ "3OwN R= =Q Ctw=kt u} QDW}@ x} w=R u}= QO xm CW=O Oy=wN xt=O= xv}y@ |}x} w=R

�References� `@=vt1. Nainan, P., Kurian, Shell Foundations Geometry, Analy-

sis, Design and Construction, Alfa Science InternationalLtd, India (2006).

2. Kurian, N.P. and Jeyachandran, S.R. \Model studies onthe behavior of sand under two and three dimensionalshell foundations", Indian Geotech. J., 2(1), pp. 79-90(1972).

3. Abdol-Rahman, M.M. and Hanna, A.M. \Vertical dis-placement induced in soil by conical shell foundations",Proc. Vertical and Horizontal Deformations of Founda-tions and Embankments, Settlement 94., ASCE, Univer-sity of Texas at A & M, Geotechnical Special Publica-tion, 40(2), pp. 635-652 (1994).

4. Kurian, N.P. \Behaviour of shell foundation s under sub-sidence of core soil", Proc. 13th Int. Conf. Soil Mechanicsand Foundation Engrg., New Delhi, India, 2, pp. 591-594(1994).

5. Kurian, N.P. and Jayakrishna, V.M. \Analytical studieson the geotechnical performance of shell foundations",Canadian Geo. J., 42(2), pp. 562-573 (2005).

6. Bujang, B.K. Huat and Thamer, A.M. \Finite elementstudy using FE code (Plaxis) on the geotechnical behav-ior of shell footings", J. of Computer Science, 2(1), pp.104-108 (2006).

7. Esmaili, D. and Hataf, N. \Experimental and numericalinvestigation of ultimate load capacity of shell founda-tions on reinforced and unreinforced sand", Iranian J.

of Science & Technology. Transaction B. Engineering,32(B5), pp. 491-500 (2008).

8. Yamamoto, K., Lyamin, A.V., Abbo, A.J., Sloan, S.W.and Hira, M. \Bearing capacity and failure mechanism ofdi�erent types of foundations and sand", Soil and Foun-dations, 49(2), pp. 305-314 (2009).

9. Kurian, N.P. and Shah, S.H. \Economy of conical andinverted dome shell foundations", J. Institution of Engi-neers, 64, pp. 281-286 (1984).

10. Civalek, O. \Geometrically nonlinear dynamic analy-sis of doubly curved isotropic shells resting on elasticfoundation by a combination of harmonic di�erentialquadrature-�nite deference method", Int. J. of PressureVessels and Piping, 82, pp. 470-479 (2005).

11. Gunawan, H., Mikami, T., Kanie, S. and Sato, M. \Freevibration characteristics of cylindrical shells partiallyburied in elastic foundations", Journal of Sound and Vi-bration, 290(3-5), pp. 785-793 (2006).

12. Yuan, H. and Li, S. \Green quasifunction method forfree vibration of simply-supported trapezoidal shallowspherical shell on winkler foundation", Acta MechanicaSolida Sinica, 23(4), (2010).

13. Lubliner, J., Oliver, J., Oller, S. and O~nate, E. \Aplastic-damage model for concrete", International Jour-nal of Solids and Structures, 25(3), pp. 299-329 (1989).

14. Lee, J. and Fenves, G.L. \Plastic-damage model forcyclic loading of concrete structures", Journal of Engi-neering Mechanics, 124(8), pp. 892-900 (1998).

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