Effective response and field statistics in elasto(visco)plastic composites under complex loadings

Pierre Suquet 1 Noël Lahellec 1
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : The aim of this study is to estimate as accurately as possible the effective response, as well as the statistics of the fields (first and second moments), in elasto-(visco)plastic heterogeneous materials with isotropic and/or kinematic hardening. After time-discretization, a new incremental variational principle for the increments in strain and internal variables in materials governed by two potentials is derived. This variational principle, together with the variational method of Ponte Castan ̃eda (1992) is used to introduce a linear comparison composite (LCC) at each time step, approximating in a variational sense the original problem. The effective response of the LCC, as well as the first and second moments of the stress and strain fields in each phase of the LCC are shown to provide estimates for the same quantities in the actual nonlinear elasto-(visco)plastic composite. The accuracy of the model is assessed by comparison with full-field simulations. The agreement is found to be quite satisfactory, in particular the asymmetry between tension and compression observed in elasto-plastic composites (Bauschinger effect) is well reproduced, unlike in other mean- field models. The statistics of the stress and strain fields, and to a certain extent, that of the back-stress field, are also in good agreement with full-field simulations.
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Contributeur : Pierre Suquet <>
Soumis le : samedi 14 juillet 2012 - 08:31:45
Dernière modification le : lundi 29 janvier 2018 - 16:06:04


  • HAL Id : hal-00717924, version 1


Pierre Suquet, Noël Lahellec. Effective response and field statistics in elasto(visco)plastic composites under complex loadings. 8th European Solid Mechanics Conference, Jul 2012, Graz, Austria. 〈hal-00717924〉



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