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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 1999

The variational formulation of viscoplastic constitutive updates

Résumé

We present a class of constitutive updates for general viscoplastic solids including such aspects of material behavior as finite elastic and plastic deformations, non-Newtonian viscosity, rate-sensitivity and arbitrary flow and hardening rules. The distinguishing characteristic of the proposed constitutive updates is that, by construction, the corresponding incremental stress—strain relations derive from a pseudo-elastic strain-energy density. This, in turn, confers the incremental boundary value problem a variational structure. In particular, the incremental deformation mapping follows from a minimum principle. This minimum principle may conveniently be taken as a basis for error estimation and mesh adaption. The accuracy and robustness of the variational constitutive updates is demonstrated with the aid of convergence tests involving the finitely-deforming Mises solid and ductile single crystals. The ability of the updates to resolve the complex patterns of slip activity which arise in the latter application is particularly noteworthy.
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hal-01007379 , version 1 (02-11-2021)

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Paternité - Pas d'utilisation commerciale

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Michael Ortiz, Laurent Stainier. The variational formulation of viscoplastic constitutive updates. Computer Methods in Applied Mechanics and Engineering, 1999, 171 (3), pp.419-444. ⟨10.1016/S0045-7825(98)00219-9⟩. ⟨hal-01007379⟩
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