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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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https://hal-emse.ccsd.cnrs.fr/emse-01063686
Contributor : Géraldine Fournier-Moulin <>
Submitted on : Friday, September 12, 2014 - 4:31:55 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:09 PM

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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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