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15

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50

40

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-

13 Ii

20

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(a)

- 13

LL

140

120

100

80

60

40

20

20 40 60 80

Load-Point Displacement (mm)

(b)

~ 3 ~iij4yenii~~~Jampi2o~iIf-bQ~B tLij iltlttOO (a) fil1bI1$ (b) jgt)]

(c)t=20s (d)t=36s

100 4 ~JlQyenM~iiftfff v= I mrnIs 1jl1uJbI1$tiXitr fFJWf yen~~W00 [~)~~00

32 1HRjrJamp1ifJMIll ~xili~~~ffi~~~~OO~~~~A~~~~~~~ ~ffl~

17

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34 if1tW5txot titiWiID ~~itH9amp~ if jllJ

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74 068 195 163 119 201

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15

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16

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50

40

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13 Ii

20

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(a)

- 13

LL

140

120

100

80

60

40

20

20 40 60 80

Load-Point Displacement (mm)

(b)

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(c)t=20s (d)t=36s

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32 1HRjrJamp1ifJMIll ~xili~~~ffi~~~~OO~~~~A~~~~~~~ ~ffl~

17

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33 secttFfjsectJamp~JL

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74 068 195 163 119 201

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16

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50

40

~ 30

-

13 Ii

20

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(a)

- 13

LL

140

120

100

80

60

40

20

20 40 60 80

Load-Point Displacement (mm)

(b)

~ 3 ~iij4yenii~~~Jampi2o~iIf-bQ~B tLij iltlttOO (a) fil1bI1$ (b) jgt)]

(c)t=20s (d)t=36s

100 4 ~JlQyenM~iiftfff v= I mrnIs 1jl1uJbI1$tiXitr fFJWf yen~~W00 [~)~~00

32 1HRjrJamp1ifJMIll ~xili~~~ffi~~~~OO~~~~A~~~~~~~ ~ffl~

17

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33 secttFfjsectJamp~JL

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34 if1tW5txot titiWiID ~~itH9amp~ if jllJ

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74 068 195 163 119 201

$~td1$DW1tJJwfFfflfamp~m~IH~fIJaltJ~[Iff~ Uti 1) Jt1frxiHttrr ~12J

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17

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Dong Z F Wu Y L Micromechanicslihalysis of particulate-reinforced composites and their failure

mechanics J Mater Sci 1996 31 440 I ~4405

2 ~1lili5f 1itftty ~4- ~tHst~~t~1Jr-OO~~IiJl~ifltJ~~ 1 ~~IZ7GJampM~m li-ill 19933 71-75

3 JJf~ ~iiIsect~ yenfiJl1Ji ~zmi ffl3F-OO~ftiMHJT3[tj43Hlii1J~11~~ iLJfJ~ftgtJ 1996

17343~348

4 Needleman A An analysis of tensile decohesion along an interface J Mech Phys Solids 1990 38 289~324

5 Tvergaard V Effect of fiber debonding in a whisker-reinforced metal Mater Sci Eng A 1990 125

203~213

6 jjiJ1~fIJ tl1P jfI1iJ Pl middot~1J3ftm~ft-=i~1rMiyenJW-iIDfYlfMttJT JJilt 1999 31 372~377

7 4~fiffl iJt if1JWm ~121l~~~WHflMW-iID3V~-=i1W1JiyenttiyenJJampmm tf~3Jt 2005 27

681~686

8 Lin X H Kang Y L Qin Q H Fu D H Identification of interfacial parameters in a particle reinforced metal

matrix composite A16061-1 0AI20) by hybrid method and genetic algorithm Comput Mater Sci 2005 32

47~56

9 Rahulkumar P Jagota A Bennison S J Saiqal S Cohesive element modeling of viscoelastic fracture

Application to peel testing of polymers Int J Solids Struct 2000 37 1873~1897

10 Xu C Siegmund T Ramani K Rate-dependent crack growth in adhesives I Modeling approach Int J

Adhes Adhes 2003 23 9-13

II Schapery R A Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage Int J

Fract 1999 97 33~66 ~

12 Landis C M Pardoen T Hutchinson J W Crack velocity dependent toughness in rate dependent materials

Mech Mater 2000 32 663-678

13 Corigliano A Michele R Rate-dependent interface models Formulation and numerical applications Int J

Solids Struct 200 I 38 547-576

14 Chaboche J L Feyel F Monerie Y Interface debonding models A viscous regularization with a limited

rate dependency Int J Solids Struct 2001 38 3127~3160

shy

19

15 Wang J Kang Y L Qin Q R Fu D H Li X Q Identification of time-dependent interfacial mechanical

properties of adhesive by hybridinverse method Comput Mater Sci 2008 43 1160- I 164

16 5XRl MIJ5iftiJshyi-t- 7Iiif 7Ii- ~ tIWRfplusmn 2002

17 ABAQUSStandard Users Manual for Version 62 Vol I II and m Hibbitt Karlsson amp Sorensen Inc

2001

18 Liu G R Han X Computational Inverse Technique in Nondestructive Evaluation CRC Press 2003

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-

19

15 Wang J Kang Y L Qin Q R Fu D H Li X Q Identification of time-dependent interfacial mechanical

properties of adhesive by hybridinverse method Comput Mater Sci 2008 43 1160- I 164

16 5XRl MIJ5iftiJshyi-t- 7Iiif 7Ii- ~ tIWRfplusmn 2002

17 ABAQUSStandard Users Manual for Version 62 Vol I II and m Hibbitt Karlsson amp Sorensen Inc

2001

18 Liu G R Han X Computational Inverse Technique in Nondestructive Evaluation CRC Press 2003

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-