On constitutive equations for arbitrary stress-strain control in multi-surface plasticity

International Journal of Solids and Structures

Volumn 35, Issue 20, 1998, Pages 2655-2678

  Klisinski, M ^a  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

LOADS (FORCES); MECHANICAL VARIABLES CONTROL; NUMERICAL METHODS; STRAIN; STRESSES; YIELD STRESS;

MULTI SURFACE PLASTICITY; STRESS STRAIN CONTROL; TRESCA YIELD CONDITION;

PLASTICITY;

EID: 0032108830     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00190-X     Document Type: Article

References (11)

1. Drucker, D. C. (1959). A definition of a stable inelastic material. Journal of Applied Mechanics, 26, 101.
2. Hill, R. (1983). On intrinsic eigenstates in plasticity with generalized variables. Mathematical Proceedings of the Cambridge Philosophical Society, 93, 177.
3. Klisinski, M., Mroz, Z. and Runesson, K. (1992). Structure of constitutive equations in plasticity for different choices of state and control variables. International Journal of Plasticity, 8, 221-243.
4. Koiter, W. T. (1953). Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with singular yield surface. Quarterly Applied Mathematics, 11, 350-354.
5. Koiter, W. T. (1960). General theorems for elastic-plastic solids. Progress in Solid Mechanics, Vol. 1, pp. 165-221. North-Holland, Amsterdam.
6. Lubliner, J. (1987). On uniqueness of solutions in generalized plasticity at infinitesimal deformation. International Journal of Solids and Structures, 23, 261-266.
7. Maier, G. and Hueckel, T. (1979). Non-associated and coupled flow rules of elastoplasticity for rock-like materials. International Journal of Rock Mechanics and Minimum Science Geometry Abstracts, 16, 77-92.
8. Mroz, Z. (1963). On forms of constitutive laws for elastic-plastic solids. Archiwum Mechaniki Stosowanej, 18, 1.
9. Mroz, Z. (1966). Non-associated flow laws in plasticity. Journal Méchanique, 2, 21-42.
10. Runesson, K., Axelsson, K. and Klisinski, M. (1991). Characteristics of constitutive relations in soil plasticity for undrained behaviour. International Journal of Solids and Structures, 29, 363-380.
11. Sewell, M. J. (1974). Plastic flow rule at a yield vertex. Journal of the Mechanical Physics of Solids, 22, 469-490.