JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Estimation of a mixed-mode cohesive law for an interface crack between dissimilar materials
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Estimation of a mixed-mode cohesive law for an interface crack between dissimilar materials
Song, Sung-Il; Kim, Kwang-Soo; Kim, Hyun-Gyu;
 
 Abstract
In this paper, a mixed-mode cohesive law for an interface crack between epoxy and TR (transparent thermoplastic) resin is inversely estimated by the field projection method using numerical solutions and experimentally measured displacements. Displacements in a region far away from the crack tip are measured by digital image correlation technique. An inverse analysis, the field projection method formulated from the interaction J- and M-integrals with numerical auxiliary fields, is carried out to estimate a mixed-mode cohesive law for an interface crack between dissimilar materials. In the present approach, nonlinear deformations and damage near the crack tip are converted into the relationships of tractions and separations on crack surfaces behind the crack tip. The phase angle of mixed-mode singularities of the interface crack is also obtained from measured displacements in this study.
 Keywords
cohesive laws;interface crack;mixed-mode singularity;inverse problem;field projection method;
 Language
English
 Cited by
1.
Mixed-mode fracture analysis of composite bonded joints considering adhesives of different ductility, International Journal of Fracture, 2017, 207, 1, 55  crossref(new windwow)
 References
1.
Williams, M.L. (1959), "The stresses around a fault or crack in dissimilar media", Bull. Seismol. Soc. Am., 49(2), 199-204.

2.
Rice, J.R. (1988), "Elastic fracture mechanics concepts for interfacial cracks", J. Appl. Mech., ASME, 55(1), 98-103. crossref(new window)

3.
Erdogan, F. (1965), "Stress distribution in bonded dissimilar materials with cracks", J. Appl. Mech., ASME 32(2), 403-10. crossref(new window)

4.
England, A.H. (1965), "A crack between dissimilar media", J. Appl. Mech., ASME, 32(2), 400-402. crossref(new window)

5.
Rice, J.R. and Sih, G.C. (1965), "Plane problems of cracks in dissimilar media", J. Appl. Mech., ASME, 32(2), 418-423. crossref(new window)

6.
Matos, P.P.L., Mcmeeking, R.M., Charalambides, P.G. and Drory, M.D. (1989), "A method for calculating stress intensities in bimaterial fracture", Int. J. Fract., 40(4), 235-254. crossref(new window)

7.
Hutchinson, J.W. and Suo, Z. (1992), "Mixed mode cracking in layered materials", J. Appl. Mech., 29(63), 191.

8.
Xu, X.P. and Needleman, A. (1994), "Numerical simulations of fast crack growth in brittle solids", J. Mech. Phys. Solids., 42(9), 1397-1434. crossref(new window)

9.
Camacho, G.T. and Ortiz, M. (1996), "Computational modeling of impact damage in brittle materials", Int. J. Solid. Struct., 33(20), 2899-2938. crossref(new window)

10.
Ortiz, M. and Pandolfi, A. (1999), "Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis", Int. J. Numer. Method. Eng., 44, 1267-1282. crossref(new window)

11.
Mergheim, J., Kuhl, E. and Steinmann, P. (2005), "A finite element method for the computational modeling of cohesive cracks", Int. J. Numer. Meth. Eng., 63(2), 276-289. crossref(new window)

12.
Xu, L. and Tippur, H.V. (1995), "Fracture parameters for interface cracks: an experimental-finite element study of crack tip fields and crack initiation toughness", Int. J. Fract., 71(4), 345-363. crossref(new window)

13.
Ikeda, T., Miyazaki, N. and Soda, T. (1998), "Mixed mode fracture criterion of interface crack between dissimilar materials", Eng. Fract. Mech., 59(6), 725-735. crossref(new window)

14.
Liechti, K.M. and Chai, Y.S. (1992), "Asymmetric shielding in interfacial fracture under in-plane shear", J. Appl. Mech., ASME, 59(2), 295-304. crossref(new window)

15.
Yuuki, R., Liu, J., Xu, Q., Ohira, J.Q. and Ono, T. (1994), "Mixed mode fracture criteria for an interface crack", Eng. Fract. Mech., 47(3), 367-377. crossref(new window)

16.
Tan, H., Liu, C., Huang, Y. and Geubelle, P.H. (2005), "The cohesive law for the particle/matrix interfaces in high explosives", J. Mech. Phys. Solid., 53(8), 1892-1917. crossref(new window)

17.
Zhu, Y., Liechti, K.M. and Ravi-Chandar, K. (2009), "Direct extraction of rate-dependent tractionseparation laws for polyurea/steel interfaces", Int. J. Solid. Struct., 46(1), 31-51. crossref(new window)

18.
Guo, Z.K., Kobayashi, A.S., Hay, J.C. and White, K.W. (1999), "Fracture process zone modeling of monolithic Al2O3", Eng. Fract. Mech., 63(2), 115-129. crossref(new window)

19.
Shen, B. and Paulino, G.H. (2011), "Direct extraction of cohesive fracture properties from digital image correlation: A hybrid inverse technique", Exp. Mech., 51(2), 143-163. crossref(new window)

20.
Gain, A.L., Carroll, J., Paulino, G.H. and Lambros, J. (2011), "A hybrid experimental/numerical technique to extract cohesive fracture properties for mode-I fracture of quasi-brittle materials", Int. J. Fract., 169(2), 113-131. crossref(new window)

21.
Kim, H.G. and Lee, K.W. (2009), "A study on the influence of measurement location and regularization on the evaluation of boundary tractions by inverse finite element method", Finite Elem. Anal. Des., 45(8), 569-582. crossref(new window)

22.
Hong, S. and Kim, K.S. (2003), "Extraction of cohesive-zone laws from elastic far-fields of a cohesive crack tip: a field projection method", J. Mech. Phys. Solid., 51(7), 1267-1286. crossref(new window)

23.
Hong, S., Chew, H.B. and Kim, K.S. (2009), "Cohesive-zone laws for void growth - I. Experimental field projection of crack-tip crazing in glassy polymers", J. Mech. Phys. Solid., 57(8), 1357-1373. crossref(new window)

24.
Chew, H.B., Hong, S. and Kim, K.S. (2009), "Cohesive zone laws for void growth - II. Numerical field projection of elasto-plastic fracture processes with vapor pressure", J. Mech. Phys. Solid., 57(8), 1374- 1390. crossref(new window)

25.
Chalivendra, V.B., Hong, S., Arias, I., Knap, J., Rosakis, A. and Ortiz, M. (2009), "Experimental validation of large-scale simulations of dynamic fracture along weak planes", Int. J. Impact Eng., 36(7), 888-898. crossref(new window)

26.
Kim, H.G., Chew, H.B. and Kim, K.S. (2012), "Inverse extraction of cohesive zone laws by field projection method using numerical auxiliary fields", Int. J. Numer. Meth. Eng., 91(5), 516-530. crossref(new window)

27.
Oh, J.C. and Kim, H.G. (2013), "Inverse estimation of cohesive zone laws from experimentally measured displacements for the quasi-static mode I fracture of PMMA", Eng. Fract. Mech., 99, 118-131. crossref(new window)

28.
Shih, C.F., Moran, B. and Nakamura, T. (1986), "Energy release rate along a three-dimensional crack front in a thermally stresses body", Int. J. Fract., 30(2), 79-102.

29.
Jin, Z-.H. and Sun, C.T. (2005), "Cohesive zone modeling of interface fracture in elastic bi-materials", Eng. Fract. Mech., 72(12), 1805-1817. crossref(new window)

30.
Rice, J.R. (1988), "Elastic fracture mechanics concepts for interface cracks", J. Appl. Mech., ASME, 55(1), 98-103. crossref(new window)

31.
Matos, P.P.L., McMeeking, R.M., Charalambides, P.G. and Drory, M.D. (1989), "A method for calculating stress intensities in biomaterial fracture", Int. J. Fract., 40(4), 235-254. crossref(new window)

32.
Stern, M., Becker, E.B. and Dunham, R.S. (1976), "A contour integral computation of mixed-mode stress intensity factors", Int. J. Fract., 12(3), 359-368.

33.
Rice, J.R. (1968), "A path independent integral and the approximate analysis of strain concentration by notches and cracks", J. Appl. Mech., ASME, 35(2), 379-386. crossref(new window)

34.
Barenblatt, G.I. (1962), "The mathematical theory of equilibrium cracks in brittle fracture", Adv. Appl. Mech., 7(1), 55-129. crossref(new window)

35.
Xu, X.P. and Needleman, A. (1993), "Void nucleation by inclusion debonding in a crystal matrix", Model. Simul. Mater. Sci. Eng., 1(2), 111-132. crossref(new window)

36.
Tvergaard, V. (1990), "Effect of fibre debonding in a whisker-reinforced metal", Mater. Sci. Eng., 125(2), 203-213. crossref(new window)

37.
Needleman, A. (1987), "A continuum model for void nucleation by inclusion debonding", J. Appl. Mech., ASME, 54(3), 525-531. crossref(new window)

38.
Freed, Y. and Banks-Sills, L. (2008), "A new cohesive zone model for mixed mode interface fracture in biomaterials", Eng. Fract. Mech., 75(15), 4583-4593. crossref(new window)

39.
Park, K.S., Paulino, G.H. and Roesler, J.R. (2009), "A unified potential-based cohesive model of mixedmode fracture", J. Mech. Phys. Solid., 57(6), 891-908. crossref(new window)