A Velocity Approach to Elasto-Plastic and Elasto-Viscoplastic Calculation by the Finite Element Method

Jean-Loup Chenot 1 Michel Bellet 1
1 CEMEF - Centre de Mise en Forme des Matériaux
Abstract : A second order scheme for the time discretization of the elasto-plastic or elasto-viscoplastic behavior is proposed, based on a velocity approach. The complete set of equations is given for the evolution problem in the case of small rotations approximation. The method is quite general and may be applied to a large class of constitutive equations. The finite element discretization is briefly outlined and it is shown that the procedure is quite similar to that of previous displacement formulations. A numerical example concerning the sheet metal forming process, with an elasto-viscoplastic behavior and a membrane approximation, is presented. The numerical tests show a considerable improvement in accuracy for a given increment of time.
Keywords : Sheet metal work Finite element methods Constitutive equations Finite element analysis Approximation Displacement Equations Membranes
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Article dans une revue
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01421043
Contributeur : Magalie Prudon <>
Soumis le : mercredi 21 décembre 2016 - 14:34:45
Dernière modification le : lundi 12 novembre 2018 - 10:53:17

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Jean-Loup Chenot, Michel Bellet. A Velocity Approach to Elasto-Plastic and Elasto-Viscoplastic Calculation by the Finite Element Method. Journal of Engineering for Industry, American Society of Mechanical Engineers, 1990, 112 (2), pp.150-154. ⟨10.1115/1.2899558⟩. ⟨hal-01421043⟩

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