Numerical simulation of the localization behavior of hydrostatic-stress-sensitive metals

International Journal of Mechanical Sciences

Volumn 42, Issue 11, 2000, Pages 2147-2166

  Brünig, Michael ^a   Berger, Simone ^a   Obrecht, Hans ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DUCTILITY; ELASTOPLASTICITY; FUNCTIONS; IRON; MATHEMATICAL MODELS; STRAIN RATE; STRESS ANALYSIS; TENSORS;

HYDROSTATIC STRESS; LOGARITHMIC STRAIN; PLASTIC POTENTIAL FUNCTIONS; PLASTIC VOLUME EXPANSION;

PLASTIC FLOW;

EID: 0343789655     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(00)00002-3     Document Type: Article

References (17)

1. Hill R. The mathematical theory of plasticity. 1950;University Press, Oxford.
2. Khan A.S., Huang S. Continuum theory of plasticity. 1995;Wiley, New York.
3. Spitzig W.A., Sober R.J., Richmond O. Pressure dependence of yielding and associated volume expansion in tempered martensite. Acta Metallurgica. 23:1975;885-893.
4. Spitzig W.A., Sober R.J., Richmond O. The effect of hydrostatic pressure on the deformation behavior of maraging and HY-80 steels and its implications for plasticity theory. Metallurgical Transactions A. 7A:1976;1703-1710.
5. Spitzig W.A., Richmond O. The effect of pressure on the flow stress of metals. Acta Metallurgica. 32:1984;457-463.
6. Brünig M. Numerical modelling of finite elastic-plastic deformations of crystalline solids including non-Schmid effects. In: Owen DRJ, Oñate E, Hinton E, editors. Computational plasticity 5 - Fundamentals and applications. Barcelona: CIMNE, 1997, p. 907-12.
7. Brünig M. Microscopic modelling of volume expansion and pressure dependence of plastic yielding in crystalline solids. Archive of Applied Mechanics. 68:1998;71-84.
8. Brünig M., Obrecht H. Finite elastic-plastic deformation behavior of crystalline solids based on a non-associated macroscopic flow rule. International Journal of Plasticity. 14:1998;1189-1208.
9. Brünig M. Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic-stress-sensitive solids. International Journal of Plasticity 1999;15:1237-64.
10. Lehmann Th. Some remarks on the decomposition of deformations and mechanical work. International Journal of Engineering Science. 20:1982;281-288.
11. Brünig M. Large strain elastic-plastic theory and nonlinear finite element analysis based on metric transformation tensors. Computational Mechanics. 24:1999;187-196.
12. Nemat-Nasser S. Rate-independent finite-deformation elastoplasticity: a new explicit constitutive algorithm. Mechanics of Materials. 11:1991;235-249.
13. Brünig M, Obrecht H, Speier L. Finite deformation elastic-plastic analysis based on a plastic predictor method. In: Owen DRJ, Oñate E., editors. Computational Plasticity 4 - Fundamentals and applications. Swansea: Pineridge Press, 1995. p. 141-52.
14. Rudnicki J.W., Rice J.R. Conditions for the localization of deformation in pressure-sensitive dilatant materials. Journal of the Mechanics and Physics of Solids. 23:1975;371-394.
15. Hill R. Acceleration waves in solids. Journal of the Mechanics and Physics of Solids. 10:1962;1-16.
16. Rice JR. The localization of plastic deformation. In: Koiter WT., editor. Proceedings of 14th International Congress on Theoretical and Applied Mechanics. Amsterdam: North-Holland 1977. p. 207-20.
17. Brünig M. Macroscopic theory and nonlinear finite element analysis of micromechanics of single crystals at finite strains. Computational Mechanics. 18:1996;471-484.