Steady-state crack growth and work of fracture for solids characterized by strain gradient plasticity

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 8, 1997, Pages 1253-1273

  Wei, Yueguang ^a   Hutchinson, John W ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

A. crack tip plasticity; A. fracture; A. fracture toughness; B. elastic plastic material

Indexed keywords

ELASTICITY; FRACTURE MECHANICS; FRACTURE TOUGHNESS; HARDENING; MATHEMATICAL MODELS; PLASTIC DEFORMATION; PLASTICITY; STRAIN; TRACTION (FRICTION);

CRACK TIP PLASTICITY;

CRACK PROPAGATION;

EID: 0031207889     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(97)00018-5     Document Type: Article

References (23)

1. Bagchi, A. and Evans, A. G. (1996) The mechanics and physics of thin film decohesion and its measurement. Interface Sci. 3, 169-193.
2. Bagchi, A., Lucas, G. E., Suo, Z. and Evans, A. G. (1994) A new procedure for measuring the decohesion energy of thin ductile films on substrates. J. Mater. Res. 9, 1734-1741.
3. Beltz, G. E., Rice, J. R., Shih, C. F. and Xia, L. (1996) A self-consistent model for cleavage in the presence of the plastic flow. Acta Mater. 44, 3943-3954.
4. Dean, R. H. and Hutchinson, J. W. (1980) Quasi-static steady crack growth in small scale yielding. In Fracture Mechanics, ASTM STP 700, pp. 383-405. American Society for Testing Materials.
5. Drugan, W. J., Rice, J. R. and Sham, T.-L. (1982) Asymptotic analysis of growing plane strain tensile cracks in elastic-ideally plastic solids. J. Mech. Phys. Solids 30, 447-473.
6. Elssner, G., Korn, D. and Rüble, M. (1994) The influence of interface impurities on fracture energy of UHV diffusion bonded metal-ceramic bicrystals. Scripta Metall. Mater. 31, 1037-1042.
7. Fleck, N. A. and Hutchinson, J. W. (1997) Strain gradient plasticity. Advances in Applied Mechanics, Vol. 33, ed. J. W. Hutchinson and T. Y. Wu, pp. 295-361.
8. Fleck, N. A., Muller, G. M., Ashby, M. F. and Hutchinson, J. W. (1994) Strain gradient plasticity: theory and experiment. Acta Metall. Mater. 42, 475-487.
9. Freund, L. B. and Hutchinson, J. W. (1985) High strain-rate crack growth in rate-dependent plastic solids. J. Mech. Phys. Solids 33, 169-191.
10. Huang, Y., Zhang, L., Guo, T. F. and Hwang, K. C. (1997) Near-tip fields for cracks in materials with strain gradient effects. In Proc. IUTSM Symp. on Nonlinear Analysis of Fracture, ed. J. W. Willis. Pp. 231-244. Kluwer Academic Publishers, Dordrecht.
11. Ma, Q. and Clarke, D. R. (1995) Size dependent hardness of silver single crystals. J. Mater. Res. 10(4), 853-863.
12. Mindlin, R. D. (1964) Micro-structure in linear elasticity. Arch. Ration. Mech. Anal. 16, 51-78.
13. Needleman, A. (1987) A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 54, 525-531.
14. Parks, D. M., Lam, P. S. and McMeeking, R. M. (1981) Some effects of inelastic constitutive models on crack tip fields in steady crack growth. Advances in Fracture Research, ed. D. Francois, Vol. 5, pp. 2607-2614. Pergamon Press.
15. Poole, W. J., Ashby, M. F. and Fleck, N. A. (1996) Micro-hardness of annealed and work-hardened copper polycrystals. Scripta Metall. Mater. 34(4), 559-564.
16. Schiermeier, A. D. and Hutchinson, J. W. (1996) Stationary crack tip fields in mode I for strain gradient plasticity, in preparation.
17. Schiermeier, A. D., Huang, Y., Hutchinson, J. W. and Hwang, K. C. (1996) Stationary crack tip fields in mode III for strain gradient plasticity, in preparation.
18. Smyshlyaev, V. P. and Fleck, N. A. (1996) The role of strain gradients in the grain size effect for polycrystals. J. Mech. Phys. Solids 44, 465-496.
19. Stelmashenko, N. A., Walls, M. G., Brown, L. M. and Milman, Y. V. (1993) Microindentations on W and Mo oriented single crystals: an STM study. Acta Metall. Mater. 41(10), 2855-2865.
20. Suo, Z., Shih, C. F. and Varias, A. G. (1993) A theory for cleavage cracking in the presence of plastic flow. Acta Metall. Mater. 41, 151-1557.
21. Toupin, R. A. (1962) Elastic materials with couple stresses. Arch. Ration. Mech. Anal. 11, 385-414.
22. Tvergaard, V. and Hutchinson, J. W. (1992) The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J. Mech. Phys. Solids 40, 1377-1397.
23. Xia, Z. C. and Hutchinson, J. W. (1996) Crack tip fields in strain gradient plasticity J. Mech. Phys. Solids 44, 1621-1648.