Effect of void shape on the macroscopic response of non-linear porous solids

International Journal of Plasticity

Volumn 12, Issue 1, 1996, Pages 45-68

  Yee, K C ^a   Mear, M E ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; DEFORMATION; POROSITY; POROUS MATERIALS; STRAIN HARDENING; STRAIN RATE; STRESSES;

INCOMPRESSIBLE POWER LAW MATRIX; MACROSCOPIC RESPONSE; NONLINEAR POROUS SOLIDS; REMOTE STRESS TRIAXIALITIES; SPECTRAL METHOD; SPHEROIDAL VOIDS; VOID SHAPE; VOID VOLUME CONCENTRATIONS;

SOLIDS;

EID: 0029755083     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(95)00044-5     Document Type: Article

References (18)

1. 1956 Hill, R., "New Horizons in the Mechanics of Solids," J. Mech. Phys. Solids, 5, 66.
2. 1967 Hill, R., "The Essential Structure of Constitutive Laws for Metal Composites and Polycrystals," J. Mech. Phys. Solids, 15, 79.
3. 1968 McClintock, F.A., "A Criterion for Ductile Fracture by the Growth of Holes," J. Appl. Mech., 35, 363.
4. 1969 Rice, J.R. and Tracy, D.M., "On the Ductile Enlargement of Voids in Triaxial Stress Fields," J. Mech, Phys. Solids, 17, 201.
5. 1970 Rice, J.R., "On the Structure of Stress-strain Relations for Time-dependent Plastic Deformation in Metals," J. Appl. Mech., 37, 728.
6. 1971 Moon, P. and Spencer, D.E., "Field Theory Handbook," 2nd ed. Springer, New York-Heidelberg-Berlin.
7. 1977 Gurson, A.L., "Continuum Theory of Ductile Rupture by Void Nucleation and Growth - Part I. Yield criteria and Flow Rules for Porous Ductile Media," J. Engng. Mater. Technol., 99, 2.
8. 1982 Budiansky, B., Hutchinson, J.W. and Slutsky, S., "Void Growth and Collapse in Viscous Solids," Mechanics of Solids, Hopkins, H.G. and Sewell, M.J. (eds), p. 13. Pergamon Press, Oxford.
9. 1983 Hutchinson, J.W., "Constitutive Behavior and Crack Tip Fields for Materials Undergoing Creep-constrained Grain Boundary Cavitation," Acta Metall., 31, 1079.
10. 1984 Duva, J.M. and Hutchinson, J.W., "Constitutive Potentials for Dilutely Voided Nonlinear Materials," Mechanics of Materials, 3, 41.
11. 1986 Duva, J.M., "A Constitutive Description of Nonlinear Materials Containing Voids," Mechanics of Materials, 5, 137.
12. 1989 Becker, R.C., Smelsers, R.E. and Richmond, O., "The Effect of Void Shape on the Development of Damage and Fracture in Plane-strain Tension," J. Mech. Phys. Solids, 37, 515.
13. 1989b Becker, R.C., Smelser, R.E., Richmond, O. and Appleby, E.J., "The Effect of Void Shape on Void Growth and Ductility in Axisymmetric Tension Tests," Metall. Trans. A, 20A, 853.
14. 1992a Lee, B.J. and Mear, M.E., "Axisymmetric Deformation of Power-law Solids Containing Aligned Spheroidal Voids," J. Mech. Phys. Solids, 8, 1805.
15. 1992b Lee, B.J. and Mear, M.E., "Effective Properties of Power-Law Solids Containing Elliptical Inhomogeneities. Part I: Rigid Inclusions," Mech. Mater., 13, 313.
16. 1992 Qiu, Y.P. and Weng, G. J., "A Theory of Plasticity for Porous Materials and Particle-Reinforced, Composites", J. Appl. Mech., 59, 261.
17. 1993 Lee, B.J., Mear, M.E. and Yee, K.C., "On Constitutive Theories for Non-linear Solids Containing Spherical Voids," in preparation.
18. 1994 Gologanu, M., Leblond, J.B. and Devaux, J., "Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities," J. Mech. Phys. Solids, 41, 1723.