+ =-#$&(%*#>$-)? @(A-(BC+:(##-&0+DEEE F - - PowerPoint PPT Presentation

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+ =-#$&(%*#>$-)? @(A-(BC+:(##-&0+DEEE F - - PowerPoint PPT Presentation

!"#$"%&#'(%()*%+ ,-&.($/*0-$# + ,1234+567+8+!3+569+ :(##-&0+6; + !($/*0-$#+*0< + + =-#$&(%*#>$-)? @(A-(BC+:(##-&0+DEEE F +G(H0(<+I-&.($/*0-$#+ F


slide-1
SLIDE 1

!"#$"%&#'(%()*%+ ,-&.($/*0-$#+

,1234+567+8+!3+569+

:(##-&0+6; +

!($/*0-$#+*0< + =-#$&(%*#>$-)?

+

slide-2
SLIDE 2

@(A-(BC+:(##-&0+DEEE

F +G(H0(<+I-&.($/*0-$#+ F +J&&'(<+*)+I(0(H)#+&K+#)"<?-0L+I-&.($/*0-$#+ F +3M*.-0(<+*+K(B+-.N&O)*0)+/-#)&O-$*%+HL"O(#+ F +G-#$"##(<+B/?+-)P#+-.N&O)*0)+)&+'0&B+B/*)+ &)/(O#+/*A(+<&0(+-0+)/(+N*#)+ F +3M*.-0(<+/&B+)&+)(%%+-K+*+H(%<+-#+LO&B-0L+ F +@(A-(B(<+#(A(O*%+Q/&)R+O(#(*O$/+*O(*#+ F +G-#$"##(<+*0*)&.-$*%+N%*0(#S+0&.(0$%*)"O(+ *0<+#)O"$)"O(#+T!-0-UJ*I+DV+

slide-3
SLIDE 3

WXYC +Z*#+[*%-%(&+$&OO($)\+!"#$!%&'()%$*+,$-!)%.)!)%$!

/0(**1*$/2(3.4!5$(6$)0&!(7!4(35!8(3$*!9(:4-!%.;$!)(! +3/0$.*$!6(0$!<:+/=4&!)%.3!4$35)%!)(!*:''(0)!)%$! +3/0$.*$-!9$+5%)!(7!4.05$0!.3+6.4*>?!

“,O*-0+](*#(O”EEE+

slide-4
SLIDE 4

WXYC +Z*#+[*%-%(&+$&OO($)\+

“,O*-0+](*#(O”EEE+

D7+<-^(O(0)+*<"%)+NO-.*)(+K(."O#++ 3%(N/*0)+K(."O+

slide-5
SLIDE 5

_"OO(0)+]&N-$#EEE+

@:!$)!.4>A!BCCD!

Tissue Engineering Example 1: Human Ear

slide-6
SLIDE 6

_"OO(0)+]&N-$#EEE+

E.03=$!$)!.4>A!BCCF!

Tissue Engineering Example 2: Human Jaw

slide-7
SLIDE 7

_"OO(0)+]&N-$#EEE+

Tissue Engineering Example 2: Human Jaw

E.03=$!$)!.4>A!BCCF!

slide-8
SLIDE 8

_"OO(0)+]&N-$#EEE+

Custom Implants Example 3: 3D Printed Ribcage

G0.3-.!$)!.4>A!BCHD!

slide-9
SLIDE 9

:(##-&0+6;+G-#$"##-&0+X"(#>&0#EEE+

WXYC +10+(0L-0((O-0L+.($/*0-$#S+B/*)+*O(+)/(+I*#-$+ $&0$(N)#+*0<+*##".N>&0#+"#(<+-0+#)*>$#S+<?0*.-$#S + *0<+#)O(0L)/+&K+.*)(O-*%#\+ WXYC +Z/*)+.($/*0-$*%+NO&N(O>(#+*O(+$&..&0%?+"#(<+)&+ $/*O*$)(O-`(+.*)(O-*%+I(/*A-&O\+ WXYC +Z/*)+*O(+#&.(+K"0<*.(0)*%+<-^(O(0$(#+I()B((0+ )O*<->&0*%+(0L-0((O-0L+.*)(O-*%#+*0<+I-&%&L-$+ >##"(#\+ WXYC +Z/*)+-#+A-#$&(%*#>$-)?\+

slide-10
SLIDE 10

]/(+#)"<?+&K+(M)(O0*%+K&O$(#+*$>0L+&0+*0+ &Ia($)+-0+*+#)*)(+&K+(b"-%-IO-".EEE+

U I.*+/!/(3/$')*J! U I.*+/!.**:6'2(3*J! U I.*+/!)((4J!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!K(0/$*!.3-!6(6$3)*! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!L+5+-18(-+$*A!3(!6(2(3! !!!!!!!!!!!!!!!!!!!!!!!K0$$18(-&!-+.50.6!

WXYC +Z/*)+-#+:)*>$#\+

,*#-$+_&0$(N)#+-0+!($/*0-$#EEE

slide-11
SLIDE 11

]/(+(^($)+&K+(M)(O0*%+K&O$(#+*$>0L+&0+*0+&Ia($)+ O(#"%>0L+-0+.&>&0EEE+

U I.*+/!/(3/$')*J! U I.*+/!.**:6'2(3J! U I.*+/!)((4J!

WXYC +Z/*)+-#+G?0*.-$#\+

,*#-$+_&0$(N)#+-0+!($/*0-$#EEE

!!!!!!!!!!!!!!!!!!!!!!!!!!!K(0/$A!6.**A!.3-!.//$4$0.2(3! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!L+5+-18(-&!6$/%.3+/*! !!!!!!!!!!!!!!!!!!!K0$$18(-&!-+.50.6!

slide-12
SLIDE 12

WXYC +Z/*)+*O(+)B&+#"IUH(%<#+&K+<?0*.-$#+ B/-$/+K&$"#+&0+)/(+#)"<?+&K+.&>&0+*0<+ )/(+K&O$(#+)/*)+NO&<"$(+)/(.\+

,*#-$+_&0$(N)#+-0+!($/*0-$#EEE

!"#$%&'())) * ??? ??? *+&#,%$-'(.*******************+&#,-'()))*

slide-13
SLIDE 13

]/(+(^($)+&K+(M)(O0*%+K&O$(#+*$>0L+&0+*0+&Ia($)+ O(#"%>0L+-0+<(K&O.*>&0EEE+

U I.*+/!/(3/$')*J! U I.*+/!.**:6'2(3*J!!!!!!!!!!!!!!!!!!!!!!!!!

! ! !!

U I.*+/!)((4J!

WXYC +Z/*)+-#+:)O(0L)/+&K+!*)(O-*%#\+

,*#-$+_&0$(N)#+-0+!($/*0-$#EEE+

!!!!!!!!!!!!!!!!!!!!!!!!!!M)0$**!.3-!*)0.+3! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!M(4+-!8(-+$*!N%(6(5$3$(:*OA!*6.44!!!!!!!!! ! !-$7(06.2(3*! !!!!!!!!!!!!!!!!!!P$)%(-!(7!*$/2(3*!

slide-14
SLIDE 14

WXYC +,*#(<+&0+%&*<c<-#N%*$(.(0)+.(*#"O(.(0)#S + B/*)+.($/*0-$*%+NO&N(O>(#+*O(+$&..&0%?+ "#(<+)&+$/*O*$)(O-`(+.*)(O-*%+I(/*A-&O\+

;NN%-$*>&0+)&+,-&%&L-$*%+]-##"(#EEE+

  • Stress-strain
  • Stiffness / elastic modulus
  • Yield, ultimate, or failure load/stress
  • Failure strain
  • Poisson’s ratio
  • Others (...fatigue strength, toughness, etc.)
slide-15
SLIDE 15

,*#-$+_&0$(N)#+-0+!($/*0-$#EEE+

A) Yield Stress B) Ultimate Stress C) Failure Stress D) Linear Elastic Region

A

B

x x

C

! Linear Elastic

3MC+:)O(##U:)O*-0+G-*LO*.EEE+

slide-16
SLIDE 16
  • Non-homogeneous
  • Large deformations
  • Non-linear
  • Hysteresis
  • Viscoelastic

WXYC +Z/*)+*O(+#&.(+K"0<*.(0)*%+<-^(O(0$(#+ I()B((0+)O*<->&0*%+(0L-0((O-0L+.*)(O-*%#+ *0<+I-&%&L-$+>##"(#\+

;NN%-$*>&0+)&+,-&%&L-$*%+]-##"(#EEE+

Flexion/Extension (L1-L5 Intact)

  • 8
  • 6
  • 4
  • 2

2 4 6

  • 20
  • 15
  • 10
  • 5

5 10

  • Flex. Angle (deg) Ext.

Moment (Nm) 1st Cycle 2nd Cycle 3rd Cycle

slide-17
SLIDE 17

WXYC +_*0+B(+*NN%?+)/(+I*#-$+NO-0$-N%(#+&K+ .($/*0-$#+)&+I-&%&L-$*%+>##"(#\+++

T-E(ES+G&+&"O+*##".N>&0#+/&%<\V+

;NN%-$*>&0+)&+,-&%&L-$*%+]-##"(#EEE+

  • Homogeneous
  • Small deformations
  • Linear Elastic

Assumptions:

  • Non-homogeneous
  • Large deformations
  • Non-linear
  • Hysteresis
  • Viscoelastic

Reality:

slide-18
SLIDE 18

!"#$"%&#'(%()*%+ ,-&.($/*0-$#+

,1234+567+8+!3+569+

:(##-&0+6 +

,*#-$+!($/*0-$# + *0;+<-#$&(%*#=$-)>

+

slide-19
SLIDE 19

2?(@?-(A+

  • 10)@&;"$=&0+
  • B&%%&AC"D+E@&.+%*#)+$%*##+
  • <-#$&(%*#=$-)>+
  • B&&)+-0F"@-(#+-0+)/(+0(A#+
slide-20
SLIDE 20

<G+H"I()+:&"0;+

slide-21
SLIDE 21

<G+H"I()+:&"0;+

slide-22
SLIDE 22

2

<G+J(0)(@+&E+3K$(%%(0$(+E&@+L-.M+L&## + H@(?(0=&0+*0;+H@&#)/(=$+30I-0((@-0I +

B"0$=&0*%+%-.M+%&##+ +N(%(?*0)+D*)/&%&I-(#O+ +G0'%(+2G+P*@)/@&;(#-#+?#Q+*@)/@&D%*#)>R+STU+ +B&&)+)>D(+P/-I/+*@$/+?Q+0(")@*%+?Q+V*W&&)R+S6U+ +X($/0-Y"(#+"#(;O+ +N&M&=$+I*-)+#-."%*=&0+SGU+

  • +

,-D%*0(+V"&@&#$&D>+S,U+ + G0*)&.-$*%+%-.M+%&##+ +N(%(?*0)+D*)/&%&I-(#O+ +Z-*M()(#+S[U+ +X($/0-Y"(#+"#(;O+ +J*;*?(@-$+=##"(+)(#=0I+P;-*M(=$+?Q+0&0C;-*M(=$R+SJU+ +H*=(0)C#D($-\$+$&.D")*=&0*%+.&;(%-0I+SZU+ +!N1C$&.D*=M%(+%&*;-0I+;(?-$(+S3U+ +

<G+H"I()+:&"0;++ ](*%)/+J*@(+:>#)(.++ ^0-?(@#-)>+&E+_*#/-0I)&0+ !($/*0-$*%+30I-0((@-0I+*0;+2@)/&D*(;-$#+

A B C

_-%%-*.+NQ+L(;&"K`+H/Za#+N(#(*@$/+10)(@(#)#+

1 E 3 D

slide-23
SLIDE 23

B&%%&AC"D#+E@&.+%*#)+$%*##+

  • ]*I%"0;#+;(E&@.-)>+

! ,&0>+(0%*@I(.(0)+ ! H*-0+E@&.+M"@#-=#+

  • B&&)+*0*)&.>+
  • Z-##($=&0+?-;(&P#R+

http://www.foothealthfacts.org/ footankleinfo/haglunds-deformity.htm

slide-24
SLIDE 24

B&&)O+.&=&0+

sagittal plane dorsiflexion plantar flexion neutral

slide-25
SLIDE 25

neutral

B&&)O+.&=&0+

frontal plane inversion or varus eversion or valgus

slide-26
SLIDE 26

neutral

B&&)O+.&=&0+

abduction or external rotation transverse plane adduction or internal rotation

slide-27
SLIDE 27

B&&)O+.&=&0+

  • H@&0*=&0+

! ;&@#-V(K-&0+ ! *M;"$=&0b(K)(@0*%+@&)*=&0+ ! (?(@#-&0b?*%I"#+ ! V*)+E&&)+

  • :"D-0*=&0+

! D%*0)*@+V(K-&0+ ! *;;"$=&0b-0)(@0*%+@&)*=&0+ ! -0?(@#-&0b?*@"#+ ! /-I/+*@$/(;+E&&)+

  • -##"(#+A-)/+D@&0*=&0+*0;+#"D-0*=&0O+

C A&@'#+A(%%+E&@+/*0;`+M")+0&)+E&@+E&&)+;"(+)&+c7d+*0'%(+ C 0(")@*%+D&#-=&0+?#Q+*0*)&.-$+D&#-=&0+ C -0+#&.(+)(K)#`+@(E(@#+)&+D"@(+E@&0)*%+D%*0(+.&=&0+ C -0+V*)+E&&)+P/>D(@D@&0*)(;+E&&)+&@+D(#+D%*0"#R`+E&@(E&&)+

*$)"*%%>+#"D-0*)(;+@(%*=?(+)&+/-0;E&&)+

slide-28
SLIDE 28

B&&)+*0;+*0'%(+*0*)&.-$*%+)(@.#++

  • Z-#$"##+)/(+E&&)+A-)/+*0'%(+*)+c7d+P-Q(Q`+0(")@*%+

D&#-=&0R+*0;+0&)+A-)/+)/(+*0'%(+D%*0)*@+V(K(;+ P-Q(Q`+*0*)&.-$*%+D&#-=&0R`+(K$(D)+-E+A(+*@(+ )*'-0I+*M&")+)/(+)&(#Q+++

  • G?&-;+"#(+&E+D@&0*=&0b#"D-0*=&0+P#((+%*#)+

#%-;(Re+-0#)(*;+;-#$"##+.&=&0bD&#-=&0+-0+ #D($-\$+$*@;-0*%+D%*0(#Q++

  • J&@&0*%+@*)/(@+)/*0+E@&0)*%+P.-0&@+D&-0)R+
slide-29
SLIDE 29

B&&)+*0;+*0'%(+*0*)&.-$*%+)(@.#++

  • :*I-f*%+D%*0(+.&=&0+*)+*%%+F&-0)#+-#+@(E(@@(;+)&+

*#+;&@#-V(K-&0bD%*0)*@+V(K-&0Q+

  • ]-0;E&&)+P$*%$*0("#+)&+=M-*`+$*%$*0("#+)&+)*%"#`+

)*%"#+)&+=M-*R+*0'%(+*)+c7d+

! $&@&0*%+D%*0(+.&=&0+g+-0?(@#-&0b(?(@#-&0+P*0;+

D&#-=&0+?*@"#b?*%I"#R+

! )@*0#?(@#(+D%*0(+.&=&0+g+*;;"$=&0b*M;"$=&0+&@+

  • 0)(@0*%b(K)(@0*%+@&)*=&0+
slide-30
SLIDE 30

B&&)+*0;+*0'%(+*0*)&.-$*%+)(@.#++

  • B&@(E&&)+)&+/-0;E&&)+P\@#)+.()*)*@#*%+)&+)*%"#R+

*0'%(+*)+c7d+

! $&@&0*%+D%*0(+.&=&0+g+-0?(@#-&0b(?(@#-&0+P*0;+

D&#-=&0+?*@"#b?*%I"#R+

! )@*0#?(@#(+D%*0(+.&=&0+g+*;;"$=&0b*M;"$=&0+&@+

  • 0)(@0*%b(K)(@0*%+@&)*=&0+
  • ]*%%"K+)&+\@#)+.()*)*@#*%+

! $&@&0*%+D%*0(+.&=&0+g+-0?(@#-&0b(?(@#-&0++ ! )@*0#?(@#(+D%*0(+.&=&0+g+?*@"#b?*%I"#+

  • /*%%"K+?*%I"#+g+M"0-&0+
slide-31
SLIDE 31

B&&)+*0;+*0'%(+*0*)&.-$*%+)(@.#++

  • ^#(+/-0;E&&)+0&)+@(*@E&&)+
  • ^#(+0(")@*%%>+*%-I0(;+0&)+@($)"#+
  • J*0+0&)+#*>+hD(#+D%*0"#+E&&)+)>D(i`+*#+)/*)+

%-)(@*%%>+.(*0#+hE&&)+V*)+E&&)+)>D(iQ+:*>+hD(#+ D%*0"#i+&@+hD%*0"#+E&&)+)>D(iQ+

slide-32
SLIDE 32

<-#$&(%*#=$-)>+

  • Z(\0(+#&.(+M*#-$+)(@.#O+(%*#=$-)>`+D%*#=$-)>`+

?-#$&#-)>`+*0;+?-#$&(%*#=$-)>+

  • N(?-(A+#-.D%(`+%-0(*@+?-#$&(%*#=$+.&;(%#+
  • Z(#$@-M(+)/(+-.D&@)*0)+D@&D(@=(#+&E+

?-#$&(%*#=$+.*)(@-*%#+

  • Z-#$"##+$&0$(D)#+"#-0I+-0+/&"#(+;*)*`+*#+A(%%+

*#+)(K)+M&&'#+

slide-33
SLIDE 33

3%*#=$-)>+

Ozkaya, et al. 2012

  • GM-%-)>+&E+*+.*)(@-*%+

)&+@(#".(+-)#+&@-I-0*%+ P#)@(##+E@((R+#-j(+*0;+ #/*D(+"D&0+@(.&?*%+ &E+*DD%-(;+%&*;#++

  • :&%-;+D@&D(@)>+
  • !()*%#+"0;(@+#.*%%+

#)@*-0+

slide-34
SLIDE 34

3%*#=$-)>+

Ozkaya, et al. 2012

  • L-0(*@+?#Q+0&0C%-0(*@+
  • ]>D(@(%*#=$+.*)(@-*%+C+

@"MM(@+

  • :)@"$)"@*%`+#=k0(##+4b.+
  • !*)(@-*%`+l&"0Ia#+

.&;"%"#+P3R+4b.6+

slide-35
SLIDE 35

H%*#=$-)>+

Ozkaya, et al. 2012

  • H@&D(0#-)>+&E+*+

.*)(@-*%+)&+"0;(@I&+ D(@.*0(0)+;(E&@.C *=&0+"0;(@+%&*;++

  • :&%-;+D@&D(@)>+
  • !()*%#+"0;(@+%*@I(+

#)@*-0#+

slide-36
SLIDE 36

<-#$&#-)>+

Ozkaya, et al. 2012

  • N(#-#)*0$(+&E+*+V"-;+

)&+*+#/(*@+.&=&0+

  • 1)#+-0)(@0*%+E@-$=&0+
  • !(*#"@(+&E+@(#-#)*0$(

+ )&+V&A+++

  • B%"-;+D@&D(@)>+
slide-37
SLIDE 37

<-#$&#-)>+

Ozkaya, et al. 2012

  • ! P&@+$+&@+M+&@+µR+C+

;>0*.-$+?-#$&#-)>+C+ @*=&+&E+#/(*@-0I+ #)@(##+)&+@*)(+&E+ ;(E&@.*=&0+

  • 4#b.6+g+! P.*)(@-*%`+

$&(m$-(0)+&E+ ?-#$&#-)>R+&@+4#b.+g+µ+ P#)@"$)"@*%`+$&(m$-(0) + &E+E@-$=&0R++

slide-38
SLIDE 38

<-#$&(%*#=$-)>+

  • :&%-;+*0;+%-Y"-;+D@&D(@=(#+
  • :)@(##+;(D(0;#+&0+#)@*-0+P(%*#=$R+*0;+#)@*-0+

@*)(+P?-#$&"#R+

  • Z(E&@.#+A/(0+*+%&*;+-#+*DD%-(;`+*0;+-)+

@($&?(@#`+F"#)+0&)+-0#)*0)*0(&"#%>Q++

slide-39
SLIDE 39

<-#$&(%*#=$-)>+

  • X/(+(k($)+-#+;"(+)&+*+.&%($"%*@+

@(*@@*0I(.(0)+-0+)/(+#&%-;+-0;"$(;+M>+#)@(##Q+

  • 20$(+)/(+#)@(##+-#+@(.&?(;`+)/(+.&%($"%(#+

#%&A%>+@($&?(@+)/(-@+E&@.(@+#D*=*%+ *@@*0I(.(0)Q++

  • G+D@&D(@)>+&E+.*0>+D&%>.(@#`+.()*%#+*)+/-I/+

)(.D(@*)"@(#`+*0;+M-&%&I-$*%+=##"(#Q++

slide-40
SLIDE 40

<-#$&(%*#=$-)>+

  • #D@-0I#`+#&%-;#`+@($&?(@>+
  • ;*#/D&)#`+V"-;#`+0&+@($&?(@>+

Ozkaya, et al. 2012

slide-41
SLIDE 41

<-#$&(%*#=$-)>+

  • n(%?-0C<&-I)+

+

Ozkaya, et al. 2012

slide-42
SLIDE 42

<-#$&(%*#=$-)>+

  • !*KA(%%+

Ozkaya, et al. 2012

slide-43
SLIDE 43

<-#$&(%*#=$-)>+

  • :)*0;*@;+%-0(*@+#&%-;+

Ozkaya, et al. 2012

slide-44
SLIDE 44

<-#$&(%*#=$-)>+

  • o+.*F&@+D@&D(@=(#+&@+*f@-M")(#+

! 0&0%-0(*@+E&@$(+?Q+P%*@I(R+;(E&@.*=&0+ ! D@($&0;-=&0-0I+ ! />#)(@(#-#+ ! #)@*-0+@*)(+#(0#-=?-)>+ ! #)@(##+@(%*K*=&0+ ! $@((D+

slide-45
SLIDE 45

<-#$&(%*#=$-)>+

  • 0&0%-0(*@+E&@$(+?Q+P%*@I(R+;(E&@.*=&0++

! *%#&+&$$"@#+A-)/+(%*#=$+.*)(@-*%#+ ! $&0#-#)(0)%>+E&"0;+A-)/+?-#$&(%*#=$+.*)(@-*%#+ ! $&%%*I(0O+$@-.D(;+\M@-%#+*0;+I@&"0;+#"M#)*0$(+ ! (%*#=0O+?(@>+(%*#=$+ ! )A&+.($/*0-#.#O+

  • $&%%*I(0+"0$@-.D-0Ib(%*#=0+#)@()$/-0I+P%&A+.&;"%"#R+
  • $&%%*I(0+*0;+(%*#=0+#)@()$/-0I+P/-I/+.&;"%"#+p+677q+#)@*-0R+

! (K*.D%(r+

  • /((%+D*;+
slide-46
SLIDE 46

<-#$&(%*#=$-)>+

  • 0&0%-0(*@+E&@$(+?Q+P%*@I(R+;(E&@.*=&0+

! (%*#=0+

Ozkaya, et al. 2012

slide-47
SLIDE 47

<-#$&(%*#=$-)>+

  • 0&0%-0(*@+E&@$(+?Q+P%*@I(R+;(E&@.*=&0+

! -#&%*)(;+D%*0)*@+E*)+E@&.+/((%+

slide-48
SLIDE 48

<-#$&(%*#=$-)>+

  • 0&0%-0(*@+E&@$(+?Q+P%*@I(R+;(E&@.*=&0+

! @*MM-)+)(0;&0++

Fung, 1993

slide-49
SLIDE 49

<-#$&(%*#=$-)>+

  • D@($&0;-=&0-0I

++

! E&@$(+?Q+;(E&@.*=&0+$>$%(+$/*0I(#+"0=%+#)(*;>+

#)*)(+-#+@(*$/(;+

! -0)(@0*%+=##"(+#)@"$)"@(+$/*0I(#+ ! -.D%-$*=&0#+E&@+.*)(@-*%#+)(#=0I+P*0;+(K*.D%(#Rr+

  • M@*-0+
  • *@)(@>+
  • G$/-%%(#+)(0;&0+
  • %-?(@+
  • D%*0)*@+E*)+
slide-50
SLIDE 50

<-#$&(%*#=$-)>+

  • D@($&0;-=&0-0I

++

! -#&%*)(;+D%*0)*@+E*)+E@&.+/((%+

500 400 300 200 100 Force (N) 5x10

  • 3

4 3 2 1 Displacement (m) trial 1 trial 2 trial 5 trial 10 trial 20 trial 30

slide-51
SLIDE 51

<-#$&(%*#=$-)>+

  • D@($&0;-=&0-0I+

! *0)(@-&@+$@"$-*)(+%-I*.(0)+

Fung, 1993

slide-52
SLIDE 52

<-#$&(%*#=$-)>+

  • D@($&0;-=&0-0I+

! ;&I+$*@&=;+*@)(@>+

Fung, 1993

slide-53
SLIDE 53

<-#$&(%*#=$-)>+

  • />#)(@(#-#+

! *+%*II-0I+&E+*0+(k($)+A/(0+E&@$(#+*DD%-(;+)&+*+

M&;>+*@(+$/*0I(;+

! D*@*%%(%#+-0+.*I0(=#.`+)/(@.&(%($)@-$-)>`+()$Q+

;"@-0I+D&%*@-)>+$/*0I(#+

! (0(@I>+-#+h%&#)i+ ! A/(@(+;&(#+-)+I&r+

  • ;-##-D*)(;+*#+/(*)`+0&-#(`+()$Q+

! (K*.D%(r+

  • /((%+D*;bE&&)A(*@+
slide-54
SLIDE 54

<-#$&(%*#=$-)>+

  • />#)(@(#-#+

! #)*0;*@;+%-0(*@+#&%-;+

Ozkaya, et al. 2012

slide-55
SLIDE 55

<-#$&(%*#=$-)>+

  • />#)(@(#-#+

! -#&%*)(;+D%*0)*@+E*)+E@&.+/((%+

slide-56
SLIDE 56

<-#$&(%*#=$-)>+

  • />#)(@(#-#+

! *0)(@-&@+$@"$-*)(+%-I*.(0)+

Fung, 1993

slide-57
SLIDE 57

<-#$&(%*#=$-)>+

  • #)@*-0+@*)(+#(0#-=?-)>+++

! E*#)(@+>&"+%&*;`+#=k(@+)/(+.*)(@-*%+I()#+ ! *)+#%&A+@*)(#`+(##(0=*%%>+(%*#=$+D@&D(@=(#+

  • Y"*#-C#)*=$+

! #&s+=##"(#+/*?(+A-;(+@*0I(+&E+#-.-%*@+E@(Y"(0$>+

@(#D&0#(#+P#=k0(##+*0;+/>#)(@(#-#R+

! (K*.D%(r+

  • /((%+D*;+
slide-58
SLIDE 58

<-#$&(%*#=$-)>+

  • #)@*-0+@*)(+#(0#-=?-)>+

! #)*0;*@;+%-0(*@+#&%-;+

Ozkaya, et al. 2012

slide-59
SLIDE 59

<-#$&(%*#=$-)>+

  • #)@*-0+@*)(+#(0#-=?-)>+

! -#&%*)(;+D%*0)*@+E*)+E@&.+/((%+

+

Pai and Ledoux, 2010

slide-60
SLIDE 60

<-#$&(%*#=$-)>+

  • #)@*-0+@*)(+#(0#-=?-)>+

! -#&%*)(;+D%*0)*@+E*)+E@&.+/((%+

Pai and Ledoux, 2010

slide-61
SLIDE 61

<-#$&(%*#=$-)>+

  • #)@*-0+@*)(+#(0#-=?-)>+

! D*D-%%*@>+."#$%(+

Fung, 1993

slide-62
SLIDE 62

<-#$&(%*#=$-)>+

  • #)@(##+@(%*K*=&0+

! %&*;(;+*)+*+$&0#)*0)+;-#D%*$(.(0)+*0;+E&@$(+

@(%*K(#+

! (*#-(@+)/*0+$@((D+)(#)`+M")+0&)+@(*%+A&@%;+

$&0;-=&0#+

! (K*.D%(r+

  • -#&.()@-$+#)@()$/-0I+
slide-63
SLIDE 63

<-#$&(%*#=$-)>+

  • #)@(##+@(%*K*=&0+

! *R+h-0#)*0)*0(&"#i+#)@*-0+ ! MR+(%*#=$+@(#D&0#(+ ! $R+?-#$&(%*#=$+@(#D&0#(+&E+

*+#&%-;++

! ;R+?-#$&(%*#=$+@(#D&0#(+&E+

*+V"-;+

Ozkaya, et al. 2012

slide-64
SLIDE 64

<-#$&(%*#=$-)>+

  • #)@(##+@(%*K*=&0+

! -#&%*)(;+D%*0)*@+E*)+E@&.+/((%+

slide-65
SLIDE 65

<-#$&(%*#=$-)>+

  • #)@(##+@(%*K*=&0+

! *0)(@-&@+$@"$-*)(+%-I*.(0)+

Fung, 1993

slide-66
SLIDE 66

<-#$&(%*#=$-)>+

  • $@((D+

! %&*;(;+*)+*+$&0#)*0)+E&@$(+*0;+;-#D%*$(.(0)+

$/*0I(#+

! /*@;(@+)&+$&0;"$)`+M")+.&@(+D/>#-&%&I-$+ ! (K*.D%(r+

  • /(-I/)+)/@&"I/+&")+;*>+
slide-67
SLIDE 67

<-#$&(%*#=$-)>+

  • $@((D+

! *R+#)(D+#)@(##+ ! MR+(%*#=$+@(#D&0#(+ ! $R+?-#$&(%*#=$+@(#D&0#(+&E+

*+#&%-;++

! ;R+?-#$&(%*#=$+@(#D&0#(+&E+

*+V"-;+

Ozkaya, et al. 2012

slide-68
SLIDE 68

B&&)+-0F"@-(#+-0+)/(+0(A#+

  • ](*;%-0(O+B&&)+E(=#/O+G+M@-(E+CC+*0;+#$-(0=\$+CC+

@(?-(A+&E+E&&)+-0F"@-(#+&0+)/(+(?(+&E+)/(+4BL+ D%*>&k#+C+X/(+,&#)&0+t%&M(+

  • Z*)(O+u*0+9`+67To+
  • :(?(@*%+'(>+D%*>(@#`+-0$%";-0I+X&.+,@*;>`+/*?(

+ $&0)(0;(;+A-)/+E(()+*0;+*0'%(+-0F"@-(#+)/-#+ 4BL+#(*#&0Q+

  • /fDObb=0>"@%Q$&.bjYc6?D.+