Integrating a logarithmic-strain based hyperelastic formulation into a three-field mixed finite element formulation to deal with incompressibility in finite-strain elastoplasticity

Abstract : This paper deals with the treatment of incompressibility in solid mechanics in finite-strain elastoplasticity. A Unite-strain model proposed by Miehe, Apel and Lambrecht, which is based on a logarithmic strain measure and its work-conjugate stress tensor is chosen, Its main interest is that it allows for the adoption of standard constitutive models established in a small-strain framework. This model is extended to take into account the plastic incompressibility constraint intrinsically. In that purpose, an extension of this model to a three-field mixed finite element formulation is proposed, involving displacements, a strain variable and pressure as nodal variables with respect to standard finite element.. Numerical examples of Unite-strain problems are. presented to assess the performance of the formulation. To conclude, an industrial case for which the classical under-integrated elements fail is considered. (C) 2014 Elsevier B.V. All rights reserved
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Finite Elements in Analysis and Design, Elsevier, 2014, 86, pp.61-70. 〈10.1016/j.finel.2014.04.004〉
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https://hal-emse.ccsd.cnrs.fr/emse-01063686
Contributeur : Géraldine Fournier-Moulin <>
Soumis le : vendredi 12 septembre 2014 - 16:31:55
Dernière modification le : mardi 6 mars 2018 - 17:28:17

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Dina Al Akhrass, Julien Bruchon, Sylvain Drapier, Sébastien Fayolle. Integrating a logarithmic-strain based hyperelastic formulation into a three-field mixed finite element formulation to deal with incompressibility in finite-strain elastoplasticity. Finite Elements in Analysis and Design, Elsevier, 2014, 86, pp.61-70. 〈10.1016/j.finel.2014.04.004〉. 〈emse-01063686〉

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