A continuum model for void nucleation by inclusion debonding

Journal of Applied Mechanics, Transactions ASME

Volumn 54, Issue 3, 1987, Pages 525-531

  Needleman, A ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - BOUNDARY VALUE PROBLEMS;

AGGREGATE EFFECTIVE STRESS; COHESIVE ZONE MODEL; FINITE ELEMENT FORMULATION; INCLUSION DEBONDING; INTERFACE MODEL;

METALLOGRAPHY;

EID: 0023410904     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3173064     Document Type: Article

References (21)

1. Argon, A. S., Im, J., and Safoglu, R., 1975, “Cavity Formation from Inclusions in Ductile Fracture,” Met. Trans., Vol. 6A, pp. 825-837.
2. Barenblatt, G. I., 1962, “Mathematical Theory of Equilibrium Cracks,” Adv. Appl. Mech., Vol. 7, pp. 56-129.
3. Brown, L. M., and Stobbs, W. M., 1971, “The Work-Hardening of Copper-Silica II. The Role of Plastic Relaxation,” Phil. Mag., Vol. 23, pp. 1201-1233.
4. Brownrigg, A., Spitzig, W. A., Richmond, O., Tierlinck, D., and Embury, J. D., 1983, “The Influence of Hydrostatic Pressure on the Flow Stress and Ductility of a Spheroidized 1045 Steel,” Acta. Metall., Vol. 31, pp. 1141-1150.
5. Chang, Y. W., and Asaro, R. J., 1978, “Bauschinger Effects and Work Hardening in Spheroidized Steels,” Metal Science, Vol. 12, pp. 277-284.
6. Cialone, H., and Asaro, R. J., 1978, “The Role of Hydrogen in the Ductile Fracture of Plain Carbon Steels,” Met. Trans., Vol. 10A, pp. 367-375.
7. Dugdale, D. S., 1960, “Yielding of Steel Sheets Containing Slits,” J. Mech. Phys. Solids, Vol. 8, pp. 100-104.
8. Fisher, J. R., and Gurland, J., 1981, “Void Nucleation in Spheroidized Carbon Steels; Part 2: Model,” Metal Science, Vol. 15, pp. 193-202.
9. Goods, S. H., and Brown, L. M., 1979, “The Nucleation of Cavities by Plastic Deformation,” Acta. Metall., Vol. 27, pp. 1-15.
10. Gurson, A. L., 1975, “Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth and Interaction,” Ph.D. Thesis, Brown University.
11. Gurson, A. L., 1977, “Continuum Theory of Ductile Rupture by Void Nucleation and Growth; Part I: Yield Criterion and Flow Rules for Porous Ductile Materials,” J. Engr. Mat. Tech., Vol. 99, pp. 2-15.
12. Keer, L. M., Dundurs, J., and Kiattikomol, K., 1973, “Separation of a Smooth Circular Inclusion form a Matrix,” International Journal of Engineering Science, Vol. 11, pp. 1221-1233.
13. Needleman, A., 1972, “A Numerical Study of Necking in Circular Cylindrical Bars,” J. Mech. Phys. Solids, Vol. 20, pp. 111-120.
14. Needleman, A., 1982, “Finite Elements for Finite Strain Plasticity Problems,” Plasticity of Metals at Finite Strain: Theory, Computation and Experiment, E. H. Lee and R. L. Mallett, eds., pp. 387-436.
15. Needleman, A., and Rice, J. R., 1978, “Limits to Ductility Set by Plastic Flow Localization,” Mechanics of Sheet Metal Forming, Koistinen, D. P., and Wang, N.-M., eds., pp. 237-265.
16. Needleman, A., and Rice, J. R., 1980, “Plastic Creep Flow Effects in the Diffusive Cavitation of Grain Boundaries,” Acta Metall., Vol., 28, pp. 1313-1332.
17. Peirce, D., Shih, C. F., and Needleman, A., 1984, “A Tangent Modulus Method for Rate Dependent Solids,” Comp. Struct., Vol. 18, pp. 875-887.
18. Saje, M., Pan, J., and Needleman, A., 1982, “Void Nucleation Effects on Shear Localization in Porous Plastic Solids,” Int. J. Fract., Vol. 19, pp. 163-182.
19. Taya, M., and Patterson, W. G., 1982, “Growth of a Debonded Void at a Rigid Secondary Particle in a Viscous Metal,” J. Matl. Sci., Vol. 17, pp. 115-120.
20. Tvergaard, V., 1976, “Effect of Thickness Inhomogeneities in Internally Pressurized Elastic-Plastic Spherical Shells,” J. Mech. Phys. Solids, Vol. 24, pp. 291-304.
21. Tvergaard, V., 1982, “On Localization in Ductile Materials Containing Spherical Voids,” Int. J. Fract., Vol. 18, pp. 237-252.