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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2008

A variational constitutive update algorithm for a set of isotropic hyperelasticviscoplastic models

Résumé

In three-dimensional formulations of plasticity, the rate of plastic deformation is usually decomposed in direction and amplitude. In the most simple cases of von Mises type flows, this allows to assume a known radial flow direction and computations are reduced to the determination of the amplitude of the plastification. In the context of a variational formulation of finite plasticity, it is verified that this decomposition between constitutive and kinematic aspects is accomplished by the choice of a quadratic elastic potential (Hencky model). The aim of this paper is to show that a wide set of simple hyperelastic–plastic isotropic models not restricted to quadratic elastic behavior can be constructed by relaxing the classical decomposition amplitude/direction by the sum of spectral quantities. In addition, this approach allows for a unified and efficient numerical implementation in which a particular hyperelastic–viscoplastic behavior is obtained by a specific choice of the elastic, plastic and dissipative (pseudo)potentials.
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Dates et versions

hal-01004964 , version 1 (18-11-2021)

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Paternité - Pas d'utilisation commerciale

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Eduardo Fancello, Jakson M Vassoler, Laurent Stainier. A variational constitutive update algorithm for a set of isotropic hyperelasticviscoplastic models. Computer Methods in Applied Mechanics and Engineering, 2008, 197 (49-50), pp.4132-4148. ⟨10.1016/j.cma.2008.04.014⟩. ⟨hal-01004964⟩
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