Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities

[1]  Lallit Anand,et al.  Thermodynamics applied to gradient theories involving the accumulated plastic strain : The theories of Aifantis and Fleck and Hutchinson and their generalization , 2009 .

[2]  B. D. Reddy,et al.  A discontinuous Galerkin formulation for classical and gradient plasticity. Part 2: Algorithms and numerical analysis , 2007 .

[3]  Peter Gudmundson,et al.  A unified treatment of strain gradient plasticity , 2004 .

[4]  P. Steinmann,et al.  Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity , 2001 .

[5]  Ares J. Rosakis,et al.  Partition of plastic work into heat and stored energy in metals , 2000 .

[6]  A. Rosakis,et al.  A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals , 2000 .

[7]  René de Borst,et al.  Gradient-dependent plasticity: formulation and algorithmic aspects , 1992 .

[8]  E. Aifantis On the Microstructural Origin of Certain Inelastic Models , 1984 .

[9]  A. McBride,et al.  Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains , 2008 .

[10]  W. Han,et al.  Plasticity: Mathematical Theory and Numerical Analysis , 1999 .

[11]  J. B. Martin An Internal Variable Approach to the Formulation of Finite Element Problems in Plasticity , 1981 .

[12]  J. A. Hendry Singular problems and the global element method , 1980 .

[13]  M. Biot Linear thermodynamics and the mechanics of solids , 1958 .

[14]  R. Hill The mathematical theory of plasticity , 1950 .