Effect of a third invariant on the effective reaction of plastic porous bodies. I. Behavior of a porous material unit cell and a generalized rule of normality

Powder Metallurgy and Metal Ceramics

Volumn 41, Issue 5-6, 2002, Pages 241-248

  Shtern, Mikhail B ^a   Maidanyuk, Alexander P ^a   Cocks, A ^b  

^a FRANTSEVICH INSTITUTE FOR PROBLEMS OF MATERIALS SCIENCE   (Ukraine)

^b UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

Definitive equations; Loading surface; Plastic porous body; Third invariant; Unit cell

Indexed keywords

COMPOSITE MICROMECHANICS; ENERGY DISSIPATION; PLASTICS; TENSORS;

STRESS TENSOR COMPONENTS;

POROUS MATERIALS;

EID: 0036397039     PISSN: 10681302     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020571013080     Document Type: Article

References (9)

1. A. L. Gurson, "Continuum theory for ductile rupture by void nucleation and growth. Part 1. Yield criteria and flow rules for porous ductile media," Trans. ASME. J. Eng. Mater and Technol., 2-15 (1977).
2. P. A. Duva, "A constitutive description of non-linear materials containing voids," Mechanics of Materials, 5, 137-1459 (1986).
3. A. C. F. Cocks, "Inelastic deformations of porous bodies," J. Mech. Phys. Solids, 37, No. 6, 693-715 (1989).
4. J. R. Rice and D. M. Tracey, "On the ductile enlargement of voids in triaxial stress fields," J. Mech. Phys. Solids, 17, 201-217 (1969).
5. F. A. McClintock, "A criterion for ductile fracture by growth of holes," Trans. ASME Series E, J. Appl. Mech., 35, 363-371 (1968).
6. G. Zeigler, Extreme Principles of Thermodynamics for Irreversible Processes and Solid Mechanics [Russian translation], Mir, Moscow (1966).
7. P. Germen, Course in Solid Mechanics. General Theory [Russian translation], Vyssh. Shkola, Moscow (1983).
8. V. V. Skorokhod, Rheological Bases of Sintering Theory [in Russian], Nauk. Dumka, Kiev (1972).
9. A. Needleman and J. R. Rice, "Plastic creep flow effects in the diffusive cavitation of grain boundaries," Acta Met., 28, 1315-1331 (1980).