The implicit standard material theory for modelling the nonassociative behaviour of metals |
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Authors: | G Bodovillé |
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Institution: | (1) 3, rue du Mesnil F-51130 Villeneuve Renneville, France, FR |
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Abstract: | Summary Modelling the elastoplastic or elastoviscoplastic behaviour of metallic materials exhibiting strain hardening and damage
leads to complex nonassociative constitutive equations, sources of many theoretical and numerical troubles. The usual modelling
of a nonassociative constitutive equation leads to the loss of the interesting and very useful properties of generalised standard
materials deriving from the key concepts of convexity and normality. The argument that will be developed is that the bipotential
concept is an appropriate answer. In the first part, after introducing the state variables generally used to describe the
behaviour of metallic materials, the constitutive equations subjected to the principles of thermodynamics are derived from
two potentials. The state potential gives the state laws, and the bipotential of dissipation delivers the evolution laws for
state variables, through the implicit normality assumption. The second part is devoted to several particular applications
to metal elastoplasticity and elastoviscoplasticity models.
Received 29 March 2000; accepted for publication 26 September 2000 |
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Keywords: | Nonassociativity Plasticity Viscoplasticity Damage Implicit Standard Materials |
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