A Velocity Approach to Elasto-Plastic and Elasto-Viscoplastic Calculation by the Finite Element Method - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Engineering for Industry Année : 1990

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

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Jean-Loup Chenot
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Michel Bellet

Résumé

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.
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Dates et versions

hal-01421043 , version 1 (21-12-2016)

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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, 1990, 112 (2), pp.150-154. ⟨10.1115/1.2899558⟩. ⟨hal-01421043⟩
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