Incremental constitutive equation for large strain elasto plasticity |
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Authors: | F Sidoroff |
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Affiliation: | Laboratoire de Mécanique des Solides Ecole Centrale de Lyon 69130, Ecully, France and GRECO Grandes Deformations et Endommagement |
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Abstract: | Starting from the standard theory with intermediate configuration for finite deformations of an isotropic elasto-plastic material with isotropic hardening, rate type constitutive equations are obtained. The small elastic strain approximation is then discussed and it is shown that, in this approximation, these equations reduce to Hill's formalism of large strain elasto-plasticity obtained from the classical Prandtl-Reuss relations of infinitesimal plasticity by substituting for the infinitesimal strain rate, stress and stress rate respectively the rate of deformation tensor, the Cauchy stress tensor and the Jaumann stress rate tensor. The limiting case of perfect plasticity is also investigated. |
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