Bimaterial interface fracture: A discrete dislocation model

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 2, 2005, Pages 359-382

  O'Day, M P ^a   Curtin, W A ^a  

^a Brown University   (United States)

Author keywords

Bimaterials; Crack tip plasticity; Dislocations; Fracture mechanics

Indexed keywords

CERAMIC MATERIALS; CRACK PROPAGATION; FRACTURE MECHANICS; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; NUCLEATION; NUMERICAL METHODS; PLASTICITY;

ANNIHILATION; BIMATERIALS; CRACK TIP PLASTICITY; DISLOCATIONS;

INTERFACES (MATERIALS);

EID: 10844233996     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.06.012     Document Type: Article

References (33)

1. Abdul-Baqi, A., Van der Giessen, E., 2001. Indentation-induced interface delamination of a strong film on a ductile substrate. Thin Solid Film 381, 143-154.
2. Acharya, A., Bassani, J.L., 2000. Lattice incompatibility and a gradient theory of crystal plasticity. J. Mech. Phys. Solid. 48, 1565-1595.
3. Benzerga, A.A., Hong, S.S., Kim, K.S., Needleman, A., 2001. Smaller is softer: an inverse size effect in a cast aluminum alloy. Acta Mater. 49, 3071-3083.
4. Benzerga, A.A., Bréchet, Y., Needleman, A., Van der Giessen, E., 2004. Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics. Model. Simulat. Mater. Sci. Eng. 12, 159-196.
5. Bittencourt, E., Needleman, A., Gurtin, M.E., Van der Giessen, E., 2003. A comparison of nonlocal continuum and discrete dislocation plasticity predictions. J. Mech. Phys. Solid. 51, 281-310.
6. Cleveringa, H.H.M., Van der Giessen, E., Needleman, A., 1997. Comparison of discrete dislocation and continuum plasticity predictions for a composite material. Acta Mater. 45, 3163-3179.
7. Cleveringa, H.H.M., Van der Giessen, E., Needleman, A., 2000. A discrete dislocation analysis of mode I crack growth. J. Mech. Phys. Solid. 48, 1133-1157.
8. Deshpande, V.S., Needleman, A., Van der Giessen, E., 2002. Discrete dislocation modeling of fatigue crack propagation. Acta Mater. 50, 831-846.
9. Deshpande, V.S., Needleman, A., Van der Giessen, E., 2003a. Discrete dislocation plasticity modeling of short cracks in single crystals. Acta Mater. 51, 1-15.
10. Deshpande, V.S., Needleman, A., Van der Giessen, E., 2003b. Scaling of discrete dislocation predictions for near-threshold fatigue crack growth. Acta Mater. 51, 4637-4651.
11. Deshpande, V.S., Needleman, A., Van der Giessen, E., 2003c. Finite strain discrete dislocation plasticity. J. Mech. Phys. Solid. 51, 2057-2083.
12. Eshelby, J.D., 1961. Elastic inclusions and inhomogeneities. In: Sneddon, I.N., Hill, R. (Eds.), Progress in Solid Mechanics, vol. II. North-Holland, Amsterdam, pp. 89-140.
13. Fleck, N.A., Hutchinson J.W., 1997. Strain gradient plasticity, in: Hutchinson J.W., Wu, T.T. (Eds.), Advances in Applied Mechanics, 33, 295-361.
14. Fleck, N.A., Muller, G.M., Ashby, M.F., Hutchinson, J.W., 1994. Strain gradient plasticity: theory and experiment. Acta Metall. Mater. 42, 475-487.
15. Gao, Y.F., Bower, A.F., 2004. A simple technique for avoiding convergence problems in finite element simulations of crack nucleation and growth on cohesive interfaces. Model. Simulat. Mater. Sci. Eng. 12, 453-463.
16. Gurtin, M.E., 2002. A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. J. Mech. Phys. Solid. 50, 5-32.
17. Lawn, B.R., Wilshaw, T.R., 1975. Fracture of Brittle Solid. Cambridge University Press, Cambridge.
18. Ma, Q., Clarke, D.R., 1995. Size dependent hardness of silver single crystals. J. Mater. Res. 10, 853-863.
19. Nicola, L., Van der Giessen, E., Needleman, A., 2003. Discrete dislocation analysis of size effects in thin films. J. Appl. Phys. 93, 5920-5928.
20. O'Day, M.P., Curtin, W.A., 2004. A superposition framework for discrete dislocation plasticity. J. Appl. Mech. 71, to appear.
21. Shu, J.Y., Fleck, N.A., Van der Giessen, E., Needleman, A., 2001. Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity. J. Mech. Phys. Solid. 49, 1361-1395.
22. Stolken, J.S., Evans, A.G., 1998. A microbend test method for measuring the plasticity length scale. Acta Mater. 46, 5109-5115.
23. Suo, Z., Shih, C.F., Varias, A.G., 1993. A theory for cleavage cracking in the presence of plastic flow. Acta Metall. Mater. 41, 1551-1557.
24. Tvergaard, V., 1997. Cleavage crack growth resistance due to plastic flow around a near-tip dislocation-free region. J. Mech. Phys. Solid. 45, 1007-1023.
25. Tvergaard, V., 1997. Effect of plasticity on cleavage crack growth resistance at an interface. J. Mech. Phys. of Solid. 47, 1095-1112.
26. Tvergaard, V., 2001. Resistance curves for mixed mode interface crack growth between dissimilar elastic-plastic solids. J. Mech. Phys. Solid. 49, 2689-2703.
27. Tvergaard, V., 2003. Cohesive zone representations of failure between elastic or rigid solids and ductile solids. Eng. Fract. Mech. 70, 1859-1868.
28. Tvergaard, V., Hutchinson, J.W., 1992. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J. Mech. Phys. Solid. 40, 1377-1397.
29. Tvergaard, V., Hutchinson, J.W., 1993. The influence of plasticity on mixed mode interface toughness. J. Mech. Phys. Solid. 41, 1119-1135.
30. Van der Giessen, E., Needleman, A., 1995. Discrete dislocation plasticity: a simple planar model. Model. Simulat. Mater. Sci. Eng. 3, 689-735.
31. Weertman, J., 1996. Dislocation Based Fracture Mechanics. World Scientific Publishing Company, Inc., Singapore.
32. Wei, Y., Hutchinson, J.W., 1997. Steady-state crack growth and work of fracture for solids characterized by strain gradient plasticity. J. Mech. Phys. Solid. 45, 1253-1273.
33. Xu, X.-P., Needleman, A., 1993. Void nucleation by inclusion debonding n a crystal matrix. Model. Simulat. Mater. Sci. Eng. 1, 111-132.