Interaction of very small voids with larger voids

International Journal of Solids and Structures

Volumn 35, Issue 30, 1998, Pages 3989-4000

  Tvergaard, Viggo ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRACKS; MATHEMATICAL MODELS; PLASTIC FLOW; STRESSES;

CAVITATION INSTABILITY; FINITE VOLUME FRACTION;

FRACTURE MECHANICS;

EID: 0032182655     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00254-0     Document Type: Article

References (22)

1. Ashby, M. F., Blunt, F. J. and Bannister, M. (1989) Flow characteristics of highly constrained metal wires. Acta Metallurgica 37, 1857.
2. Ball, J. M. (1982) Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Phil. Trans. R. Soc. London A306, 557-610.
3. Cortés, R. and Elices, M. (1993) The plastic growth of a cavity nucleated at a shear band. Int. J. Solid Structures 21, 2971-2981.
4. Faleskog, J. and Shih, C. F. (1997) Micromechanics of coalescence - I. Synergistic effects of elasticity, plastic yielding and multi-size scale voids. J. Mech. Phys. Solids 45, 21-50.
5. Fleck, N. A. and Hutchinson, J. W. (1996) Strain gradient plasticity, to be published in Advances in Applied Mechanics, ed. J. W. Hutchinson and T. Y. Wu, 33, Academic Press, New York.
6. Huang, Y., Hutchinson, J. W. and Tvereaard, V. (1991) Cavitation instabilities in elastic-plastic solids. J. Mech. Phys. Solids 39, 223-241.
7. Hutchinson, J. W. (1973) Finite strain analysis of elastic plastic solids and structures. In Numerical Solution of Nonlinear Structural Problems, ed. R. F. Hartung, p. 17, ASME. New York.
8. Koplik, J. and Needleman, A. ( 1988) Void growth and coalescence in porous plastic solids. Int J. Solids Structures 24, 835-853.
9. McClintock, F. A. ( 1968) A criterion for ductile fracture by growth of holes. J. Appl. Mech. 35, 363-371.
10. McMeeking, R. M. (1977) Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture. J. Mech. Phys. Solids 25, 357-381.
11. Needleman, A. (1972) Void growth in an elastic-plastic medium. J. Appl. Mech. 41, 964-970.
12. Needleman, A. and Tvergaard, V. (1987) An analysis of ductile rupture modes at a crack tip. J. Mech. Phys. Solids 35, 151-183.
13. Rice, J. R. and Tracey, D. M. (1969) On the ductile enlargement of voids in triaxial stress fields. J. Mech. Phys. Solids 17, 201-217.
14. Tvergaard, V. (1976) Effect of thickness inhomogeneities in internally pressurized elastic plastic spherical shells. J. Mech. Phys. Solids 24, 291-304.
15. Tvergaard, V. (1981) Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fracture 17, 389-407.
16. Tvergaard, V. (1982a) On localization in ductile materials containing spherical voids. Int. J. Fracture 18, 237-252.
17. Tvergaard, V. (1990) Analysis of tensile properties for a whisker - reinforced metal - matrix composite. Acta Metall. Mater. 38, 185-194.
18. Tvergaard, V. (1991) Failure by ductile cavity growth at a metal-ceramic interface. Acta Metall. Mater. 39, 419-426.
19. Tvergaard, V. (1996) Effect of void size difference on growth and cavitation instabilities. J. Mech. Phys. Solids 44, 1237-1253.
20. Tvergaard, V. (1997) Studies of void growth in a thin ductile layer between ceramics. Computational Mech. 20, 186-191.
21. Tvergaard, V. and Needleman, A. (1992) Effect of crack meandering on dynamic, ductile fracture. J. Mech. Phys. Solids 40, 447-471.
22. Tvergaard, V., Huang, Y. and Hutchinson, J. W. (1992) Cavitation instabilities in a power hardening elastic-plastic solid. Eur. J. Mech. A/Solids 11, 215-231.