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Abstract The goal of this study is to develop a full‐body human Finite Element (FE) model with the
enhanced biofidelity and the numerical robustness necessary for use in dynamic car–pedestrian accident
reconstructions in various impact scenarios. An FE model for the pelvis and lower limbs in a standing position
developed in our past study was combined with FE models for bones and ligaments in the upper body taken
from an occupant model. The biofidelity of the combined model was further enhanced and validated against
experiments. Each body region of the full‐body model was validated in multiple loading conditions, including
neck bending, thoracic impact, isolated pelvis impact, thigh and leg bending, knee bending, knee ligament
tension, and ankle joint rotation. The full‐body model was subjected to lateral and frontal impacts at 70 km/h
against a simplified car model representing a stiff front‐end structure, showing that the model is robust enough
to simulate high speed impacts in different pedestrian orientations.
Keywords biofidelity, human model, pedestrian, numerical robustness
I. INTRODUCTION
Crash simulations using a human Finite Element (FE) model representing a pedestrian in multiple car–
pedestrian accident scenarios are one of the most effective means to investigate car–pedestrian interaction,
quantify dynamic loadings to the pedestrian and predict probability of fatality or injury. This process is essential
to evaluate real‐world relevance of pedestrian safety technologies, including active and passive safety
measures. The currently used subsystem test procedure to evaluate pedestrian passive safety performance was
originally developed by the European Enhanced Vehicle‐safety Committee (EEVC) [1] and essentially assumes
lateral impact of a car to a pedestrian at 40 km/h. Due to the representation of pedestrian accidents with
particular impact scenarios, it is not possible to accurately estimate the real‐world effectiveness of passive
safety measures evaluated by such a test procedure based solely on the test results. It needs to be investigated
against various impact configurations seen in actual car–pedestrian accidents in order to predict reduction in
pedestrian fatalities and casualties expected to be provided by the measure in real‐world accidents. The recent
advancement of active safety technologies would change the distribution of impact speeds as a result of the
activation of systems for crash avoidance. The prediction of the combined effect of both active and passive
safety measures on the reduction of pedestrian fatalities and casualties also requires prediction of car–
pedestrian interactions at various impact configurations. Fredrikson et al. [2] investigated 54 pedestrian
accidents from the German In‐depth Accident Study (GIDAS) database, occurring from 1999 to 2008 and with
AIS3+ head injuries, and estimated isolated and combined effects of specific active and passive safety measures
on head injury mitigation. The study used a particular function between the impact speed and the probability of
AIS3+ head injury to estimate the effect of the measures, which assumes that the injury probability is solely
dependent on the impact speed. This assumption may not apply if the impact speed distribution is significantly
different between urban and rural areas where the distribution of car–pedestrian impact configurations would
be significantly different. These issues can be taken into consideration when all the different impact
configurations in the real‐world accidents are dynamically reproduced by car–pedestrian impact simulations
using a human model.
Accurate predictions of the probability of injuries in multiple accident scenarios by means of impact
simulations using a human FE model would require the biofidelity of the human model. The Global Human Body
Models Consortium has developed a detailed and extensively validated human FE model for a seated occupant
Y. Takahashi is Chief Engineer (tel: +81‐28‐677‐3311, fax: +81‐28‐677‐7500, e‐mail: [email protected]), H. Asanuma is Engineer and T. Yanaoka is Assistant Chief Engineer at Honda R&D Co., Ltd. Automobile R&D Center, Japan.
Development of a Full‐Body Human FE Model for Pedestrian Crash Reconstructions
Yukou Takahashi, Hiroyuki Asanuma, Toshiyuki Yanaoka
IRC-15-63 IRCOBI Conference 2015
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by representing whole‐body skeletal and soft tissues. However, a detailed pedestrian model in a standing
position is still needed to be developed in a future stage [3]. Watanabe et al. [4] developed a full‐body human
FE model representing a pedestrian with a primary focus on brain and internal organ injuries. However, the
result of 4‐point knee bending validation is the only information provided for the lower limb model validation.
In a previous study, the authors developed a human FE model with the upper body represented by articulated
rigid bodies and the pelvis and lower limbs modeled by finite elements to investigate pelvis and lower limb
interactions with a car front‐end structure in car–pedestrian impacts [5‐6]. Since the upper body is modeled by
articulated rigid bodies representing only the external surface, it was not possible to predict injuries to the
upper body such as rib fractures or abdominal injuries. The ankle joint is represented by one single mechanical
joint element, which would require biofidelity improvement when ankle joint injuries are to be predicted. The
knee model was validated in pure (4‐point) lateral bending. Although the primary loading to the knee in
pedestrian crashes would be lateral bending, the knee is also subjected to shear loading and thus additional
validation in combined loading would be needed. The bending response of the lower limb model was validated
for individual long bones (femur, tibia and fibula) and assembly (thigh and leg). This ensured biofidelic overall
bending response of the leg assembly, however the distribution of the loads transmitted by the tibia and the
fibula has not been clarified. In addition to the biofidelity improvement of the model, it is also necessary to
make sure that the model is robust enough to survive severe impacts from a car that need to be simulated to
estimate real‐world relevance of safety technologies by means of computer simulations of car–pedestrian
crashes.
The goal of the study is to develop a human FE model in a standing position that will ultimately be capable of
predicting probability of major injuries to a pedestrian whole body in various impact configurations. This study
developed a full‐body human FE model in a standing position by combining the FE upper body model taken
from Dokko et al. [7] with the pelvis and lower limb FE model developed by the authors [5‐6]. Some
modifications were made to the knee, leg and ankle for improved biofidelity. The neck, thorax, pelvis, thigh,
knee, leg and ankle were validated against experimental data to validate the components of the modified
full‐body model. The model validation included 3‐point bending of the knee and the bending response of the
ankle, which have not been conducted in former studies [5‐6]. The model was subjected to lateral and frontal
impacts from a simplified car model representing a stiff front‐end structure at 70 km/h, in order to evaluate the
numerical robustness of the model.
II. METHODS
The combined FE whole body model was further modified from two different viewpoints: one to enhance
the biofidelity of the model; and the other to improve the numerical robustness of the model in high‐speed
collisions. The components of the modified model were re‐validated against experimental data due to the
modifications made. The 3‐point bending of the knee and the ankle rotation were added to the validation for
enhanced biofidelity. The numerical robustness of the model was evaluated in lateral and frontal collisions. The
lateral impact was used to represent the impact configuration most frequently seen in car–pedestrian accidents.
The frontal impact was employed to investigate the effect of the musculature around the knee on the
resistance to hyperextension of the knee.
Full‐body Pedestrian Model
The upper part of the whole body human FE model in a seated position developed by Dokko et al. [7],
representing the shape of the rib cage for 35 years old, was combined with the pelvis and lower limb human FE
model in a standing position developed by the authors [5‐6] at the T12‐L1 joint. The spine curvature was not
changed. Both models have been developed in PAM‐CRASH. As opposed to the size of the pelvis model scaled
to 50th percentile American male [5‐6], the rib cage model was based on CT scans from a particular individual
[8]. Although the bell‐shaped rib cage of the baseline model can be viewed as part of individual variations, the
width of the bottom of the rib cage was much larger than the width of the pelvis scaled to 50th percentile male.
Since the protrusion of the bottom of the rib cage may predict unrealistic rib fracture mechanism, it was
decided to morph the shape of the rib cage to match the contours of the rib cage in frontal and lateral views
IRC-15-63 IRCOBI Conference 2015
- 531 -
pr
m
th
fr
m
w
F
M
Fu
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te
2.
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as
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resented in
model in a sta
he biofidelity
om the FE p
model does n
where the dum
Fig. 1. Full‐bo
Model Modifi
urther modif
urther enhan
Biofidelity:
n isotropic s
ruciate Ligam
used for th
enerate com
he fibers bun
ssentially do
witched to t
ension‐only b
. As in the o
CL/PCL; aAC
model is repre
ompressive f
he collagen m
modulus of 1.
. [14] and Le
The conne
efined at the
alidated in 3‐
ones may be
gid body con
he tibiofibula
ustrated in
MPa estimate
s that used f
etermined s
alidation.
the publishe
anding positi
y of the head
pedestrian du
ot represent
mmy head is
ody FE huma
ication
fications wer
nce its biofide
: modificatio
solid materi
ments; ACL a
he knee join
mpressive loa
ndled by the
o not bear c
those repre
bar elements
original mod
L/aPCL, post
esented by s
force genera
matrix to th
.6 MPa and t
ewis et al. [15
ection betwe
e proximal an
‐point bendi
e influenced
nstraints wer
ar ligaments
Fig. 3. Due t
ed from Bert
for the knee
so that biofi
ed rib cage
ion, along w
d of the occu
ummy mode
t the brain, a
s dropped on
an model in a
re made to t
elity and ens
ons were ma
al model is
and PCL, Late
nt capsule.
ads, which m
e matrix and
compressive
senting the
s that run alo
del, the cruc
terior ACL/PC
shell elemen
ated by this l
e tensile pro
the Poisson’
5].
en the tibia
nd distal end
ng against e
d by this unr
re eliminated
s at the prox
o the lack of
tram et al. [1
e joint capsu
idelic load d
anatomy fig
ith the comp
pant model
el developed
and its accele
nto a rigid su
a standing po
he full‐body
sure numeric
de to the kn
used for th
eral Collatera
For these re
may result in
the majority
loads, the m
property of
ong the mes
ciate ligamen
CL; pACL/pP
ts due to the
igament was
operty of a
s ratio of 0.4
and the fibu
ds of the fibu
xperimental
realistic defi
d, and the in
ximal and d
f informatio
16] was appl
ule was spec
distribution
gures [9]. Fig
parison of th
has not bee
by Takahash
eration respo
urface as des
osition and c
y FE human m
cal robustne
nee, the leg
hree out of
al Ligament;
easons, the
unrealistic k
y of the load
material pro
f the ligame
sh lines of th
nts are divid
CL). Since th
e small thick
s not signific
ligament, th
4 were appli
ula of the or
ula. Although
data, the di
nition of the
nterosseous
istal ends w
n on the int
lied to a line
cified. The m
between th
gure 1 prese
e shape of t
n validated,
hi et al. [10]
onse has bee
scribed in the
comparison o
model in a st
ss of the mo
and the ank
the four kn
LCL). In add
ligaments a
knee behavi
d is transmit
operties of t
ent matrix,
e solid and t
ded into ant
he Medial Co
kness, the M
cant. Due to
he linear elas
ed by referr
iginal model
h the overall
stribution of
e connection
membrane w
were modele
erosseous m
ear elastic m
material prop
he tibia and
ents the mod
he rib cage r
the model w
and Shin et
en validated
e NHTSA vali
of original an
anding posit
del in high‐s
le of the mo
ee ligament
ition, an isot
and the join
or. Since the
ted through
he solid and
and the fib
the shell elem
terior and po
ollateral Ligam
CL model wa
insignificanc
stic material
ing to Hadjip
is provided
response of
f load transm
n between t
was modeled
d using tens
membrane, th
aterial mode
perty of the
the fibula
dified full‐bo
relative to th
was replaced
al. [11]. The
against the
dation mate
nd modified
tion, present
speed impact
odel. In the o
ts (Anterior
tropic shell m
nt capsule a
ese compone
the fibrous
d the shell e
bers were re
ments, as pr
osterior bun
ment (MCL)
as unchange
ce of the con
l was used a
panayi et al.
by a rigid‐b
f the leg com
mission betw
them. For th
d using shell
sion‐only ba
he elastic m
el, and the s
tibiofibular
is obtained
ody human
he pelvis. Sin
with the he
e dummy he
head drop te
erials [12].
rib cage.
ted in Fig. 1,
ts.
original mod
and Posteri
material mod
are allowed
ents consist
tissues, whi
elements we
epresented
esented in F
ndles (anteri
of the origin
ed because t
ntribution fro
and the elas
[12], Susilo
ody constrai
mplex has be
ween these tw
his reason, t
elements a
ar elements
odulus of 3.
same thickne
ligaments w
in the mod
FE
nce
ad
ad
est
to
el,
ior
del
to
of
ch
ere
by
Fig.
ior
nal
he
om
tic
et
int
en
wo
he
nd
as
35
ess
was
del
IRC-15-63 IRCOBI Conference 2015
- 532 -
Fi
m
un
st
ex
m
bo
de
ta
lig
lig
lig
th
Fi
Re
oc
of
us
co
sh
m
di
th
ra
re
sp
m
hi
of
A
ce
in
th
g. 2. Modifie
For simplif
model focuse
ncommon in
tructure of t
xternal surfa
modified to in
ottom of the
egrees of fr
alocrucal joi
gaments aro
gament, wer
gament mod
he overall rot
g. 4. Modifie
Numerical
esearch and
ccurred at th
f 70 km/h, a
sed to recon
In the orig
onstraints w
howed the d
model up to
islocation, w
he original m
adiocarpal (w
The cervic
esponse cha
pecified betw
motion of th
igh‐frequenc
f injuries to
lternatively,
enter of the
n flexion/exte
he neighbori
ed knee ligam
fication, the
ed on the le
n pedestrian
the modified
ace of the fo
ncorporate t
e leg and the
reedom (DO
nt, and the
ound the ank
re represent
dels was take
tational resp
ed ankle join
robustness
d Data Analy
he car travel
t which the
struct the en
ginal model,
without speci
islocation of
70 km/h, it
which was fo
model were u
wrist) joint or
cal, thoracic
racteristics
ween each p
he vertebra
cy vibration o
those body
a stiff regio
vertebral dis
ension, later
ng vertebrae
ment models
ankle of the
eg and abov
crashes. Th
d ankle join
oot was incl
wo different
e talus; and
F) in dorsifl
rotational
kle joint, suc
ed by the te
en from the
ponse of the
t model.
: the Japane
ysis (ITARDA
speed of 70
numerical ro
ntire distribu
the glenoh
ifying any jo
f the shoulde
t was neces
ound to caus
unchanged, t
riginally mod
and lumbar
of interverte
pair of the n
al column,
of the head
y regions, th
on was adde
sc beyond th
ral bending a
e. Table I sum
s.
e original mo
ve. Although
us, it was de
nt. The talus
uded in the
t joints repre
the subtalar
exion/planta
DOF in inve
h as the talo
ension‐only b
knee ligame
ankle.
ese accident
A) [17], show
km/h or low
obustness of
ution of diffe
umeral (sho
oint element
er and the el
ssary to def
se numerical
the addition
deled using a
r vertebrae
ebral discs l
neighboring v
preliminary
acceleration
he contact d
ed to the m
he range of m
and torsion b
mmarizes the
odel was rep
h leg fractu
ecided to m
s and the ca
rigid body d
esented by j
r joint, conn
arflexion an
ersion/evers
ofibular ligam
bar elements
ent model an
t statistics f
w that 99.7%
wer. This led
f the model
erent impact
oulder) joint
ts. Prelimina
bow joints.
fine joint ele
l instability.
al joint elem
a joint eleme
of the origi
lumped into
vertebrae. D
impact sim
n. Since such
definitions b
moment‐angl
motion. The
by identifyin
e results of t
Fig. 3. Modif
presented by
ures are mo
odify the an
alcaneus we
definition of
oint elemen
ecting the ta
d internal/e
sion was giv
ment, the de
s. The profile
nd the magn
for 2013, fr
% of pedest
to the requi
needs to be
conditions.
and the elb
ary impact s
In order to e
ements at t
Since the lig
ments only p
ent remained
inal model a
o joint elem
Due to the ri
mulations at
a vibration
between nei
e property
range of mo
ng the angle
he identifica
fied leg mode
y one single j
re common
kle joint mo
ere modeled
f the calcane
ts: the taloc
alus and the
xternal rota
ven to the s
ltoid ligame
e of the forc
nitude was d
om the Inst
rian acciden
rement of th
guaranteed
bow joint are
simulations a
ensure the nu
hese joint lo
gament mod
rovided cons
d unchanged
are defined
ents, and th
gid‐rigid con
t high spee
makes it diff
ighboring ve
of the joint
otion was de
correspondi
ation of the r
el (without f
joint elemen
n, ankle frac
odel. Figure 4
d as rigid bo
eus. The ank
crural joint, c
e calcaneus.
ation were d
subtalar joi
nt and the c
ce‐strain resp
determined s
titute for Tr
nts against p
he maximum
d so that the
e modeled u
at high spee
umerical rob
ocations to
dels around
straints in tr
d.
as rigid bo
he contact d
ntact beyond
eds showed
ficult to pred
ertebrae we
element sp
etermined fr
ing to the in
range of mot
flesh).
nt because t
ctures are n
4 presents t
odies, and t
kle model w
connecting t
The rotation
defined at t
nt. The maj
calcaneofibu
ponse of the
so as to mat
raffic Accide
passenger ca
m impact spe
model can
using ligame
eds frequen
bustness of t
eliminate t
these joints
ranslation. T
dies, with t
definitions a
d the range
a significa
dict probabil
re eliminate
pecified at t
rom the mod
itial contact
tion.
he
not
he
he
was
he
nal
he
jor
lar
ese
tch
ent
ars
ed
be
ent
tly
he
he
in
he
he
are
of
ant
ity
ed.
he
del
of
IRC-15-63 IRCOBI Conference 2015
- 533 -
m
si
fo
hy
th
se
te
sh
ei
th
th
an
po
hy
th
di
fo
re
st
va
Fi
M
A
ex
of
m
th
co
th
an
co
The knee j
modeling the
mulations at
or a pedest
yperextensio
he back of th
emi‐membra
ension‐only b
horter part p
ither the dis
he one‐dime
he leg muscle
nd the ankle
oints were p
yperextensio
he four musc
istributed am
or each of t
esponse, the
tiffness chan
arus/valgus b
g. 5. Lower l
Model Valida
lthough the
xtensively va
f the biofid
modification o
Neck: since
he cervical sp
onducted by
he full‐body
nterior‐poste
onstrained a
oint of the o
musculature
t high speed
trian facing
on, even pas
he lower lim
anosus in the
bar element
proximal to t
tal femur or
nsional bar
es are on the
e were indiv
placed at the
on was estim
cle models at
mong the fou
the four mu
e initial stiffn
nges was de
bending mom
imb muscle
ation
baseline mo
alidated at th
elity of the
of the compo
e the bendin
pine, the nec
y Ewing et al
model and
erior and lat
and the sam
AxRot
original mod
e, considerin
s revealed th
a vehicle.
ssively, the m
b model, as
e thigh and
s in series. A
the knee and
r the proxim
elements du
e pelvis and t
vidually valid
e proximal fe
mated from B
t 20 degrees
ur ligament
uscle models
ness was red
etermined, s
ment falls wi
models.
odels used t
he compone
e model in
onents.
ng character
ck response
. [20] and an
the acceler
teral directio
me prescribed
xis of ation
Head‐C1
C1‐
X 8
Y 13 1
Z 0 4
RANGE OF
del is primari
ng its insignif
hat the peak
Since the
muscle mod
shown in Fi
the triceps
All of the fou
d the longer
al tibia to el
ue to knee b
the calcaneu
dated withou
emur and the
Bizot et al. [1
s of hyperext
models. Figu
s. In order t
duced and t
such that th
ithin 10% ba
o develop th
nt level [5‐8
the conditio
ristics of the
in flexion an
nalyzed by T
ation time h
ons, as shown
d motion wa
‐C2 C2‐C3 C3‐C4
0 10 11
10 8 13
47 9 11
TABLE I
F MOTION OF V
ily constrain
ficant contri
k hyperexten
musculature
els represen
ig. 5. Each o
surae in the
ur pairs of t
part distal t
liminate the
bending. The
us, respective
ut incorpora
e distal tibia,
18] at 18 Nm
tension was
ure 6 presen
to avoid unf
the magnitu
he influence
sed on Lloyd
Fig. 6
he full‐FE hu
8], the furthe
ons where
e joints spec
nd lateral be
Thunnissen e
history from
n in Fig. 7. T
as applied. T
Ra
C4‐C5 C5‐C6 C
11 8
12 17
12 10
VERTEBRAE
ed by the lig
bution in pu
nsion of the k
e must play
nted by tens
f the biceps
e leg was res
he bar elem
o the knee)
change in t
e actual attac
ely. Howeve
ating the effe
, respectivel
m/degree, and
determined
ts the stiffne
favorable in
de of the e
e of the ad
d and Buchan
6. Stiffness c
uman model
er modificati
the model
ified at the
nding was re
et al. [21]. Th
m Thunnissen
The bottom o
The excursio
ange of Motion (d
C6‐C7 C7‐T1 T1‐T
7 4 2.
16 9+2.‐3.
9 8 2.
Force (N)
0
200
400
600
800
1000
0.00 0
gaments and
ure lateral be
knee reache
y a significa
ion‐only bar
femoris, the
spectively m
ents were d
running thro
he direction
chment poin
r, as the join
ect of these
y. The bendi
d the force t
such that th
ess characte
fluence on
longation an
dition of th
nan [19].
haracteristic
representin
ons to the m
response m
intervertebr
e‐validated a
he head‐neck
n et al. [21]
of the skin an
on of the he
deg)
T12 T12‐L1 L1‐L2
.5 4 4
.53
5.6 5.6
.5 2.5 2.5
Strain (‐)0.01 0.02 0
d the joint ca
ending. Preli
d 39.5 degre
ant role in
r elements w
e semi‐tendi
modeled usin
divided into t
ough slip rin
n of the tens
nts of the ad
nt characteri
e muscles, th
ing stiffness
to be genera
he knee mom
eristics of the
the varus/v
nd the force
he muscle m
cs of muscle
ng a pedestr
model requir
may be influ
ral discs wer
against the v
k complex w
was applied
nd the musc
ead CG relat
L2‐L3 L3‐L4 L
4 4
5.6 5.6 1
2.5 2.5
0.03
Biceps Fe
Semi‐tendSemi‐mem
Triceps Su
Triceps Su
apsule witho
minary impa
ees at 70 km
such a lar
were added
nosus and t
g two pairs
two parts (t
gs attached
ile force alo
dded thigh a
stics of the h
he attachme
of the knee
ted by each
ment is equa
e bar elemen
valgus bendi
e at which t
models on t
models.
ian have be
e re‐validatio
enced by t
re changed f
volunteer tes
was taken fro
d to T1 in t
cles was rigid
tive to T1 w
L4‐L5 L5‐S1
4 0
11.25 11.25
2.5 2.5
moris
dinosusmbranosus
urae (lateral)
urae (medial)
out
act
m/h
rge
to
he
of
he
to
ng
nd
hip
ent
in
of
ally
nts
ng
he
he
en
on
he
for
sts
om
he
dly
was
IRC-15-63 IRCOBI Conference 2015
- 534 -
co
fle
ac
ac
an
Fi
be
in
fo
co
th
to
hi
eq
w
he
sc
ti
de
di
fo
w
w
im
im
si
te
ompared for
exion, the li
cceleration a
cceleration
nterior‐poste
g. 7. Lateral
Thorax: th
ecause of th
ntervertebral
or the fronta
onditions, w
he impact sp
o the lack of
istories of th
quations:
where is le
eight of the
caled thorac
me (s),
ensity and
isplacement
orce and the
were determi
was compare
mpact, the im
mpact speed
mulations. F
ests.
r both flexion
near accele
about the la
in the late
erior axis we
bending and
he impact re
e change in
l discs. The t
al impact an
hich are sum
peed, the ave
the scaled d
he force and
ength scale f
subject test
ic displacem
is time f
the elastic
was plotted
thoracic def
ined from th
d with the f
mpact force
s of 4.4 m/s,
Figure 8 illus
n and lateral
ration in the
ateral axis w
ral and the
ere compared
d flexion of h
esponse of
the contour
horacic impa
nd the obliq
mmarized in
erage values
ata, each of
the thoraci
λ
factor, ted, i
ment (m),
from the tes
modulus eq
d, and ellipse
flection were
he envelop c
orce‐deflect
time history
, 6.5 m/s an
strates the c
bending aga
e anterior‐p
were compar
e superior‐in
d.
head‐neck co
the thorax
of the rib ca
act test resu
que impact,
Table II, wer
s of the test
the test resu
c deflection
∙
∙
∙
is stan
s scaled forc
is tho
t (s). This sc
qual 1. For
es with the le
e drawn. The
curves. The
ion corridor
y corridors s
d 9.5 m/s w
computer sim
ainst the cor
osterior and
red with the
nferior direc
omplex.
was also re
age and the
lts conducte
respectively
re used. Due
conditions w
ults presente
were scaled
ndard height
ce (N),
oracic deflect
caling proced
each scale
engths of th
en the upper
force‐deflec
for each of
caled to 50t
ere used to
mulation mo
rridors prese
d the superi
e test result
ctions and
e‐validated i
modification
ed by Kroell e
y. For the fr
e to the varia
were applied
ed in the pap
d based on E
t (175.6 cm
is force f
tion from th
dure assume
ed time, the
e axes repre
r and lower b
ction respon
the impact
th percentile
compare the
odels represe
ented by Thu
or‐inferior d
ts. For the la
the angular
n frontal an
ns to the ben
et al. [22‐23]
rontal impac
ations in the
d to the hum
pers [22‐23]
Eppinger et a
for 50th per
from the sub
he subject te
es that the s
e average f
esenting one
bounds of th
se from the
conditions i
e male prese
e impact for
enting the fr
unnissen et a
directions an
ateral bend
r acceleratio
nd oblique i
nding charac
] and Viano [
ct, three dif
mass of the
man model si
was digitized
al. [24] using
rcentile mal
bject tested
ested (m),
scaling facto
force versus
e standard de
e force‐defle
e human mo
n Table II. F
ented in Vian
rce from the
rontal and o
al. [21]. For t
nd the angu
ing, the line
on about t
mpactor tes
cteristics at t
[24] were us
fferent impa
e impactor a
imulation. D
d and the tim
g the followi
(
(
(
(
e ),
(N),
is scal
rs of the ma
s the avera
eviation of t
ection corrid
del simulatio
or the obliq
no [24] for t
human mod
oblique impa
he
lar
ear
he
sts
he
ed
act
nd
ue
me
ng
(1)
(2)
(3)
(4)
is
is
ed
ass
ge
he
dor
on
ue
he
del
act
IRC-15-63 IRCOBI Conference 2015
- 535 -
Th
in
by
be
va
th
th
ra
de
co
al
th
bo
an
de
ap
to
w
am
th
de
th
de
de
st
Th
hi
th
an
Leg: the le
he leg mode
n Fig. 9, and
y Ivarsson e
etween thes
alues from th
he inertial sp
he lack of inf
atio was dete
efined and t
ontribution o
. [27]: 6.0%;
Knee Ligam
he structure
one‐ligamen
nd 1600 mm
evelop force
pplied due to
o a large var
was used. Fir
mong the su
he force from
eflection wa
he ratio up
eflection lev
etermined d
tandard devi
he standard
istory used b
he dynamic t
nd non‐linea
Cond
Test ID M (
42FM
45FM
53FM
60FM
Ave.
Val.M: Mass ofAve.: Avera
FTONTAL
eg model wa
l was subjec
the momen
et al. [26]. T
se two bone
he literature
pace and the
formation fr
ermined, thr
he ratio was
of the fibula
Takebe et a
ment: the mo
of the mod
nt‐bone com
m/s (dynami
e‐deflection
o the lack of
riability of th
rst, the aver
ubjects, and
m the test w
s calculated
to the larg
vel. The aver
directly from
iation in forc
deviation i
by the tests [
tension of aA
ar rate‐depen
dition 1
kg) V (m/s) Test
22.9 4.9 48FM
23.0 5.1 50FM
23.0 5.2 51FM
23.0 4.3 52FM
56FM
58FM
62FM
22.98 4.88 Ave.
23.0 4.9 Val.f impactor, V: Impage, Val.: Validatio
TABLE II
L IMPACT COND
s re‐validate
cted to dynam
t‐deflection
The effect o
s was verifie
e in the axial
e foot define
om the liter
ree different
s calculated
in axial com
al. [28]: 6.4%
odels for the
del for thes
plex extracte
c). The data
corridors an
f the anthrop
he data betw
rage force‐d
the standar
with the sma
and curve‐fi
est ultimate
age values a
the test res
ce was appli
n the deflec
[30‐31]. Figu
ACL. Materia
ndent constit
Condition 2
ID M (kg) V (m/
M 10.4
M 10.4
M 10.4
M 10.4
M 10.4
M 10.4
M 10.0
10.34 6
10.3 act speedon Condition
DITIONS
ed in 3‐point
mic mid‐shaf
response w
of the additi
ed by compa
compressio
ed as a rigid
ature on the
t cross‐sectio
in all of the
pression obt
; Shuler et a
e ACL, PCL an
se ligaments
ed from the
a from Bose
nd the avera
pometric info
ween subjec
eflection cu
d deviation
allest ultima
tted as a fun
e deflection
and the stand
sults to dete
ied to deter
ction was no
re 10 presen
l Type 202 w
tutive charac
Conditio
/s) Test ID M (kg)
7.1 12FF 22
7.3 13FM 22
6.7 14FF 22
7.2 15FM 23
6.9 18FM 23
6.8 20FM 23
6.9 21FF 23
22FM 23
63FM 23
64FM 23
6.99 Ave. 23.
7.0 Val. 23
t bending du
ft 3‐point be
as compared
ion of the i
aring the co
on of the leg
body was fo
e exact cross
ons (mid‐sha
three cross‐
tained from
l. [29]: 6–17%
nd LCL were
s. The valida
knee mode
et al. [30]
age and vari
ormation on
cts, a specific
rve was det
in force was
ate deflectio
nction of def
to estimate
dard deflect
rmine the av
rmine the up
ot taken int
nts the exam
was used for
cteristics we
on 3
V (m/s)
2.9 7.2
2.9 7.4
2.9 7.3
3.6 6.9
3.6 6.7
3.6 6.7
3.6 6.8
3.6 6.7
3.0 6.9
3.0 6.9
27 6.95
3.3 7.0
Fig. 8. Fro
ue to the ad
ending at 1.5
d with that f
nterosseous
ntribution o
. The proxim
orced to disp
s‐section of t
aft, distal thi
‐sections at
the literatur
%).
individually
ation was co
l at the load
and van Do
ability of th
some of the
c procedure
termined up
s calculated
n to that fro
flection. The
e the avera
ion of the fo
verage failur
pper and low
o account d
mple of the b
the bar elem
ere specified.
ontal and ob
dition of the
5 m/s of the
from the res
s membrane
f the load b
mal end of th
lace vertical
the leg at wh
rd and proxi
1.0 kN comp
re ranged fro
re‐validated
onducted in
ding rates of
mmelen et
e failure po
e subjects us
to develop
p to the sma
for each de
om the test
n the functio
ge force‐def
orce and the
re point and
wer bounds o
due to the p
one‐ligamen
ments repres
.
lique thorac
e interosseo
loading rate
sponse corrid
e on the loa
orn by the f
he tibia was
lly at 250 mm
hich the load
imal third) o
pression. The
om 6.0% to 1
d because of
dynamic te
f 0.016 mm/
al. [31] wer
ints. Data sc
sed in the ex
force‐deflec
allest deflec
eflection. The
with the la
on was used
flection curv
e deflection a
d its variation
of the respo
prescribed d
nt‐bone com
senting the l
ic impact.
us membran
e, as present
dor develop
ad distributio
fibula with t
rigidly fixed
m/min. Due
d transmissi
of the leg we
e values of t
17.0% (Funk
f the change
ension using
s (quasi‐stat
re analyzed
caling was n
periment. D
ction corrido
ction at failu
en the ratio
rgest ultima
to extrapola
ve up to th
at failure we
n. The avera
onse corrido
eflection tim
plex model f
igament fibe
ne.
ed
ed
on
he
to
to
on
ere
he
et
in
g a
tic)
to
not
ue
ors
ure
of
ate
ate
hat
ere
ge
rs.
me
for
ers
IRC-15-63 IRCOBI Conference 2015
- 536 -
th
th
lo
re
pr
et
th
(F
fo
O
w
Co
sl
in
en
co
et
F
N
Th
of
tu
se
pe
co
co
an
bu
31
Th
Knee Joint
he ligament
he knee, the
oads, which
esponse in va
resented in
t al. [32]. Fig
heory, the ra
Fig. 11). In or
orce, the tes
ne of the te
was conducte
onsidering t
ack strain of
Ankle: due
n dorsiflexion
nd of the tib
orresponding
t al. [33].
Fig. 11. 3‐po
Numerical Ro
he numerica
f the measur
urned off to
evere condit
edestrian pr
ombination
omponents.
ny pedestria
umper, bum
1 old Japane
he stiffness
Fig. 9. 3‐poi
t: the knee jo
and the kne
model was
normally tak
algus bendin
Ivarsson et a
gure 11 pre
atio of the va
rder to valida
sts with a sm
sts (test ID:
ed under the
he use of th
f 0.2 was app
e to the mod
n/plantarflex
bia was rigid
g joints at 50
int knee valg
obustness Eva
l robustness
res to enhan
provide lar
tions. A simp
rotection reg
of multiple
Unpublished
an protectio
mper, hood e
ese cars in th
characterist
nt bending o
oint model w
ee joint caps
also validate
kes place in
ng of the kne
al. [26]. For
sents the 3‐
algus bendin
ate the knee
maller mome
Comb 7 in B
e moment‐to
he specimen
plied to the l
ification of t
xion and inve
dly fixed to t
00 degrees/s
gus bending
aluation
s of the mod
ce the nume
rgest‐possibl
plified car m
gulations an
rigid surface
d legform, u
n measures
dge and win
e sedan cate
tics of these
of leg
was re‐valida
ule models.
ed in 3‐point
actual car–p
e was comp
3‐point bend
‐point bendi
g moment a
e model unde
ent‐to‐shear
Bose et al. [3
o‐shear force
s in the test
igament and
the ankle in t
ersion/eversi
the inertial s
s. The mome
set‐up used
el was evalu
erical robust
e internal lo
model represe
d NCAPs wa
es connected
pper legform
were analyz
ndshield. The
egory prior to
component
ated in 4‐po
Since 4‐poi
t bending tha
pedestrian c
ared with th
ding, the she
ing test set‐
applied at th
er the condit
force ratio
32]) was omi
e ratio of 2.6
ts without p
d knee joint c
the modified
ion were com
space and th
ent‐angle re
by Bose et a
uated in an im
ness. Failure
oads and ev
enting a stif
as used for
d to linear s
m and headfo
zed to obta
e shape of th
o the compli
ts were dete
Fig. 10. In
oint bending
nt bending e
at applied a
collisions. Fo
e response c
ear force tim
‐up used by
e knee to th
tion with rela
(test ID: Com
tted as an o
69, determin
reconditioni
capsule mod
d model, the
mpared with
he rigid‐body
sponses wer
al. [32].
mpact from a
e representat
aluate the n
ff car front‐e
the impact
spring eleme
orm test res
in the avera
he car mode
iance with th
ermined fro
ndividual kne
due to the c
essentially p
combination
or 4‐point be
corridor scale
me history w
Bose et al.
e shear forc
atively large
mb 4‐8 in Bo
utlier. Three
ed from the
ng the ligam
els.
moment‐an
that from th
y foot was f
re compared
a car at 70 k
tion options
numerical ro
end structure
simulations.
ents represe
ults against
age stiffness
l was determ
he regulation
m the avera
ee ligament t
change in th
provides a pu
n of the bend
ending, the m
ed to 50th p
was compared
[32]. Based
ce is determi
r contributio
ose et al. [32
e‐point bend
e average of
mentous tiss
ngle response
he literature
forced to rot
d with those
km/h to evalu
of the huma
obustness un
e prior to th
. The mode
enting the st
old Japanes
s of the low
mined from t
n for pedestr
age + 1SD. T
tension
he structure
ure bending
ding and she
moment‐ang
percentile ma
d against Bo
on the bea
ned by
on of the she
2]) were use
ding simulatio
the four tes
ues, the init
es of the ank
e. The proxim
tate about t
from Crand
uate the effe
an model we
nder the mo
he mandate
l consists of
tiffness of t
e cars witho
er part of t
the average
rian protectio
The car mod
of
of
ear
gle
ale
ose
am
ear
ed.
on
ts.
tial
kle
mal
he
all
ect
ere
ost
of
f a
he
out
he
of
on.
del
IRC-15-63 IRCOBI Conference 2015
- 537 -
re
ch
lo
th
be
an
hu
hi
ef
sh
ch
F
F
M
la
an
th
an
af
re
th
de
co
im
be
hu
m
ra
epresents th
haracteristics
ongitudinal d
he car surfac
etween the c
nd mid‐gait
uman mode
it by a car b
ffect of the a
hows the exa
haracteristics
Fig. 12. Car‐p
Fig. 13. Force
Model Valida
Neck: Fig.
teral bendin
nd angular a
he flexion of
ngular accele
ffixed to the
Thorax: Fig
esponse corr
hree differen
eflection wa
ompares the
mpact speeds
Leg: Fig. A
ending of th
uman mode
model simulat
anged from 7
0
20000
40000
60000
0.00 0
Force (N)
D
he stiffness
s, as presen
direction don
ce area was
car center pa
cycle. Three
l. The uprigh
oth laterally
addition of t
ample of the
s of the car m
pedestrian im
e‐deflection
ation
A1 in the A
ng of the nec
acceleration
the neck for
eration abou
inertial spac
g. A3 in the
ridor determ
nt combinat
as determine
e impact for
s of 4.4 m/s,
A5 in the App
e mid‐shaft
l. Figure 14 s
tion for the f
7.3% to 16.1%
0.05 0.10 0.15
Deflection (m)
s of the c
ted by Asan
ne by the ear
s also divide
art and the r
impact sim
ht model was
y and frontal
the musculat
e car–pedest
model for dif
mpact simula
characterist
Appendix com
ck for the he
about the fr
r the head C
ut the latera
ce.
e Appendix
ined in the c
tions of the
ed as the d
rce time hist
6.5 m/s and
pendix show
leg between
shows the fo
four differen
% at 1 kN of
Lower Bumper
Bumper
Hood Edge
components
uma et al. [
rlier study to
ed in the lat
right and left
ulations wer
s hit by the c
ly at 70 km/
ture around
trian impact
fferent regio
ation.
ics of simplif
mpares the
ad CG trajec
rontal (X) ax
G trajectory,
l (Y) axis. All
compares t
current study
impactor m
isplacement
tory with th
d 9.5 m/s.
ws the compa
n the respon
orce time his
nt cross‐sect
the total for
0
2000
4000
6000
0.00 0
Force (N)
D
r
using one
34]. In addit
o represent t
teral directio
t parts. Two
re conducted
car model la
/h. The front
the knee on
simulation f
ons along the
fied car mod
III. RESULTS
human mod
ctory, lateral
xis. Figure A2
, frontal (X) a
the accelera
the force‐de
y from the te
mass and th
t of the imp
he scaled for
arison of the
nse corridor
story in axial
ions. The co
rce, which ar
0.05 0.10 0.1
Deflection (m)
e‐dimensiona
tion to the d
he distributi
on to repres
pedestrian lo
d using the s
terally at 70
tal impact si
n the knee k
for lateral im
e centerline o
del.
S
del simulatio
(Y) and vert
2 in the App
and vertical
ations are re
eflection res
est results p
e impact sp
pactor relati
rce time hist
e moment‐d
presented in
compressio
ntribution fr
re within the
15
Hood Front
Hood Center
Hood Rear
al springs w
division of th
on of differe
sent differen
ower limb st
simplified ca
km/h. The m
mulation wa
kinematics du
mpact. Figure
of the car.
on results w
tical (Z) linea
endix prese
(Z) linear acc
elative to the
ponse of th
resented in K
peed shown
ve to T9. Fi
tory corrido
eflection res
n Ivarsson et
on of the leg
om the fibul
e range from
r
0
4000
8000
12000
16000
0.00 0
Force (N)
D
with non‐li
he car front
ent stiffness
nt stiffness
tances were
ar model and
mid‐gait stan
as conducted
uring a collis
e 13 present
with the test
ar acceleratio
nts similar c
celeration of
e global coor
he thorax w
Kroell et al.
in Table II
igure A4 in
or from Vian
sponse in dy
t al. [26] and
from the m
la to the ove
the literatur
0.05 0.10 0.1
Deflection (m)
near stiffne
surface in t
characterist
characterist
used – uprig
d the modifi
nce model w
d to clarify t
sion. Figure
ts the stiffne
results in t
on of the he
comparisons
f the head a
rdinate syste
ith the scal
[22‐23] for t
. The thorac
the Append
o [24] for t
ynamic 3‐poi
d the modifi
odified hum
erall axial for
re.
15
Glass Front
Glass Center
Glass Rear
ess
he
ics,
ics
ght
ed
was
he
12
ess
he
ad
in
nd
em
ed
he
cic
dix
he
int
ed
an
rce
IRC-15-63 IRCOBI Conference 2015
- 538 -
F
kn
po
th
sc
th
50
F
4
in
F
N
A
ki
co
Fig. 14. Load
Knee Ligam
nee ligament
oint variatio
he failure po
Knee Joint
caled respon
he shear forc
0th percenti
Fig. 15. Valid
4‐point valgu
Ankle: Fig
nversion/eve
Fig. 17. Valid
Numerical Ro
ll of the thr
nematics of
onfigurations
distribution
ment: Fig. A6
ts at the loa
ns determin
int variation
: Fig. 15 com
nse corridor f
ce time histo
le male and
dation results
us bending.
. 17 shows
rsion betwe
dation results
obustness Eva
ree impact s
f the modifi
s.
n between tib
6 in the Appe
ding rates o
ned in this st
were not de
mpares the m
from Ivarsso
ory in 3‐point
the simulatio
s of knee ben
the compa
en the exper
s of ankle joi
aluation
simulations
ed pedestria
bia and fibul
endix shows
f 0.016 mm/
tudy and the
etermined fo
moment‐angl
n et al. [26]
t bending of
on result usi
nding mome
rison of the
riment from
int rotation.
were succes
an model is
a in leg com
the compar
/s and 1600
e results of t
or pPCL at 0.0
le response i
and the mod
the knee be
ng the modi
ent in Fig. 1
3‐po
e moment‐a
Crandall et a
ssfully run u
s illustrated
pression.
rison of the f
mm/s betwe
the modified
016 mm/s be
in 4‐point va
dified model
etween the t
fied model.
16. Validatio
oint valgus be
angle respon
al. [33] and t
up to the he
in Fig. A7 i
force‐deflect
een the resp
d model sim
ecause only o
algus bending
simulation r
est data from
n results of k
ending.
nse in dorsif
the modified
ead contact
n the Appen
tion respons
ponse corrid
ulations. Th
one test was
g of the kne
result. Figure
m Bose et al.
knee shear f
flexion/plan
d model simu
with the ca
ndix for the
se of individu
ors and failu
e corridor a
s conducted.
e between t
e 16 compar
. [32] scaled
force in
tarflexion a
ulation.
ar model. T
e three impa
ual
ure
nd
.
he
res
to
nd
he
act
IRC-15-63 IRCOBI Conference 2015
- 539 -
IV. DISCUSSION
The results of the biofidelity validation generally showed that the impact response of the modified human FE
model is more biofidelic at the component level, except the upper limb, for which validation was not conducted.
The upper limb joint models were simplified using joint elements to ensure the numerical robustness at
high‐speed impacts. The elimination of the contact definitions between the rigid‐body cervical and thoracic
vertebrae yielded the head response without unfavorable high frequency oscillations, as shown in Fig. A1 and
Fig. A2 in the Appendix. The modifications to the thorax and the ankle models, validated against experiment,
allow the estimation of impact responses to these body regions. The additional validation of the knee model in
3‐point bending ensured that the model is capable of predicting responses to combined bending and shear
loads. The change in the ligament model structure to the bar models representing the fibers and the solid
models representing the matrix eliminated unrealistic compressive load due to the use of the tension‐only bar
elements, while maintaining a similar level of biofidelity compared to the baseline model. Although the material
property of the interosseous membrane requires validation, the validation of the load distribution between the
tibia and the fibula within the leg is important when local failure of a particular bone needs to be predicted. The
validation of the leg model in 3‐point bending showed that the model prediction almost traced the lower bound
of the experimental corridor from Ivarsson et al. [26]. However, the stiffness of the later phase of loading,
where the bone resistance dominates, is similar to the experimental data. This ‘shift’ of the curve in deflection
can be attributed to the decreased thickness of the leg flesh between the bone and the ram relative to the
thickness in a standing position due to the amputated muscles hanging down the horizontally placed bone. The
impact simulations at 70 km/h succeeded in calculating the kinematics of a pedestrian up to the head contact
with the car without any errors terminating the computation, suggesting that the model can be used to
simulate almost the entire range of the impact scenarios seen in real‐world accidents in terms of the impact
speed.
The knee model validations in 3‐point and 4‐point bending assumed the slack strain of 0.2 due to the lack of
preconditioning of the ligaments in the experiment, as opposed to the tensile tests of individual ligaments
where the ligaments were preconditioned prior to the tests to failure [30‐31]. The assumed initial slack strain
needs further clarifications when experimental data showing the influence of the preconditioning is available.
In order to ensure the numerical robustness of the model up to 70 km/h impact, it was necessary to simplify
the joint models in the upper limb due to the load concentration at the joints. In contrast, the Pedestrian Crash
Data Study database [35] shows only 10 joint injuries out of 858 injuries to the upper limb. This suggests that
the concentrated load to the upper limb joints may not be realistic possibly due to the lack of the muscle model
in the upper limb and its activation upon impact. The lack of bone fracture representation may have resulted in
unrealistic loads to the joints. Further studies are needed to clarify the mechanism of injuries to the upper limb.
As the car front‐end shape and structure would greatly influence car–pedestrian interactions, further
investigation will be needed to ensure numerical robustness of the model against different types of cars.
The addition of the musculature around the back of the knee decreased the peak hyperextension angle of
the knee from 39.5 degrees to 29.8 degrees, showing that the contribution of the passive musculature is
significant in the hyperextension of the knee in a frontal collision. However, the knee response in
hyperextension has not been validated and needs further validations. In addition, the neck model validation
used rigid constraint of the bottom of the neck musculature and skin, which may influence the neck stiffness
and requires further clarifications in a future study. The rigid foot model may need to be further improved in
order for the model to be applicable to various orientation and angle of the ankle upon impact.
V. CONCLUSIONS
A full‐body FE model for a pedestrian was developed by combining the upper body and the pelvis and lower
limb models developed in previous studies. The modifications were made to the neck, upper limb, thorax, knee,
leg and ankle in order to enhance the biofidelity and the numerical robustness of the model. The validation of
the biofidelity of the model for the modified components showed good match with the experimental data,
suggesting that the model is capable of predicting impact responses to the entire body regions, except the
upper limb, where the joint models were simplified to improve the numerical robustness. The impact
simulations against a simplified car model representing a stiff front‐end structure at 70 km/h showed that the
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model is capable of calculating pedestrian kinematics up to head contact to the car over the entire impact
speed range of real‐world accidents.
VI. REFERENCES
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[6] Ikeda, M., Suzuki, S., Gunji, Y., Takahashi, Y., Motozawa, Y., Hitosugi, M. Development of an Advanced Finite Element Model for a Pedestrian Pelvis. Proceedings of 22nd ESV Conference, 2011, Washington D.C. (USA).
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[8] Ito, O., Dokko, Y., Ohashi, K. Development of Adult and Elderly FE Thorax Skeletal Models. Proceedings of SAE World Congress, 2009, Detroit (USA).
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[10] Takahashi, Y., Kikuchi, Y. Biofidelity of test devices and validity of injury criteria for evaluating knee injuries to pedestrians. Proceedings of 17th ESV Conference, 2001, Amsterdam (The Netherlands).
[11] Shin, J., Lee, S., et al. Development and validation of a finite element model for the Polar‐II upper body. Proceedings of SAE World Congress, 2006, Detroit (USA).
[12] National Highway Traffic Safety Administration. Laboratory Test Procedure for FMVSS 208, Occupant Crash Protection Sled Tests, TP‐208S‐01.
[13] Hadjipanayi, E., Mudera, V., Brown, R. A. Guiding cell migration in 3D: A collagen matrix with graded directional stiffness. Cell Motility and the Cytoskeleton, 2009, 66(3):121–8.
[14] Susilo, M. E., Roeder, B. A., Voytik‐Harbin, S. L., Kokini, K., Nauman, E. A. Development of a three‐dimensional unit cell to model the micromechanical response of a collagen‐based extracellular matrix. Acta Biomaterialia, 2010, 6(4):1471–86.
[15] Lewis, G., Shaw, K. M. Modeling the tensile behavior of human Achilles tendon. Bio‐Medical Materials and Engineering, 2012, 7(4): 231–44.
[16] Bertram, J. E., Polevoy, Y., Cullinane, D. M. Mechanics of avian fibrous periosteum: tensile and adhesion properties during growth. Bone, 1998, 22(6):669–75.
[17] Institute for Traffic Accident Research and Data Analysis. 2013 Traffic Accident Statistics (in Japanese), 2011.
[18] Bizot, P., Meunier, A., Chrisfel, P., Witvoet, J. Experimental Passive Hyperextension Injuries of the Knee; Biomechanical Aspects of Their Consequences (in French). Revue de Chirurgie Orthopedique et Reparatrice de L'appareil Moteur, 1995, 81(3):211–20.
[19] Lloyd, D. G., Buchanan, T. S. Strategies of muscular support of varus andvalgus isometric loads at the human knee. Journal of Biomechanics, 2001, 34:1257–67.
[20] Ewing, C., Thomas, D. Human head and neck response to impact acceleration. NAMRL Monograph, 1973, 21.
[21] Thunnissen, J., Wismans, J., Ewing, C., Thomas, D. Human Volunteer Head‐Neck Response in Frontal Flexion: A New Analysis. SAE Technical Paper, 1995, Paper No. 952721.
[22] Kroell, C., Schneider, D., Nahum, A. Impact Tolerance and Response of the Human Thorax. SAE Technical Paper, 1971, Paper No. 710851.
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[23] Kroell, C., Schneider, D., Nahum, A. Impact Tolerance and Response of the Human Thorax II. SAE Technical Paper, 1974, Paper No. 741187.
[24] Eppinger, R. Prediction of Thoracic Injury Using Measurable Experimental Parameters. Proceedings of the International Conference on Experimental Safety Vehicles, 1976, London (UK).
[25] Viano, D. Biomechanical Responses and Injuries in Blunt Lateral Impact. SAE Technical Paper, 1989, Paper No. 892432.
[26] Ivarsson, J., Lessley, D., et al. Dynamic Response Corridors and Injury Thresholds of the Pedestrian Lower Extremities. Proceedings of IRCOBI Conference, 2004, Graz (Austria).
[27] Funk, R., Rudd, R., Kerrigan, J., Crandall, J. Analysis of Tibial Curvature, Fibular Loading, and the Tibia Index. Proceedings of IRCOBI Conference, 2003, Lisbon (Portugal).
[28] Takebe, K., Nakagawa, A., Minami, H., Kanazawa, H., Hirohata, K. Role of the fibula in weight‐bearing. Clin. Orthop. Relat. Res., 1984, 184:289–92.
[29] Shuler, F., Dietz, M. Tibial and Fibular Shaft Fractures. In Essential Orthopaedics, p. 703, Elsevier, Philadelphia, USA, 2009.
[30] Bose, D., Sanghavi, P., Kerrigan, J., Madeley, N., Bhalla, K., Crandall, J. Material Characterization of Ligaments Using Non‐contact Strain Measurement and Digitization. International Workshop on Human Subjects for Biomechanical Research, 2002, Ponte Vedra Beach (USA).
[31] van Dommelen, J., Ivarsson, B., et al. Characterization of the Rate‐Dependent Mechanical Properties and Failure of Human Knee Ligaments. Proceedings of SAE World Congress, 2005, Detroit (USA).
[32] Bose, D., Bhalla, K., Rooij, L., Millington, S., Studley, A., Crandall, J. Response of the Knee Joint to the Pedestrian Impact Loading Environment. Proceedings of SAE World Congress, 2004, Detroit (USA).
[33] Crandall, J., Portier, L., et al. Biomechanical Response and Physical Properties of the Leg, Foot, and Ankle. SAE Technical Paper, Paper No. 962424, 1996.
[34] Asanuma, H., Takahashi, Y., Ikeda, M., Yanaoka, T. Investigation of a Simplified Vehicle Model that Can Reproduce Car‐Pedestrian Collisions. Proceedings of SAE World Congress, 2014, Detroit (USA).
[35] National Highway Traffic Safety Administration. National Automotive Sampling System, Pedestrian Crash Data Study, 1994–1998.
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F
F
F
F
Fig. A1. Head
Fig. A2. Head
Fig. A3. Valid
Fig. A4. Valid
d‐neck respo
d‐neck respo
dation result
dation result
onse validatio
onse validatio
s of frontal t
s of oblique
V
on results in
on results in
thoracic impa
thoracic imp
VII. APPENDI
lateral bend
flexion.
act.
pact.
IX
ding.
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F
F
Fig. A5. Valid
Fig. A6. Valid
dation result
dation result
s of leg 3‐po
s of individu
int bending.
al knee ligam
ment bundles in tension.
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F
Fig. A7. Kinematics of pedestrian model during immpact from ssimplified car model at 770 km/h.
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