Homogenization and (Visco)plasticity : Variational Approximations

Pierre Suquet 1 Noël Lahellec 1
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : In this joint work with N. Lahellec, we discuss the effective response of composite materials made from constituents with a partially reversible and partially irreversible behavior. Attention is restricted to behaviors deriving from two potentials. A "Rate Variational Principle" is derived and used to propose approximate schemes to predict the overall response, as well as the field statistics in viscoelastic, elasto-viscoplastic or elasto-plastic composites or polycrystals. The model is applied to particle-reinforced composites and to polycrystalline ice.
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https://hal.archives-ouvertes.fr/hal-00859036
Contributor : Pierre Suquet <>
Submitted on : Friday, September 6, 2013 - 1:35:00 PM
Last modification on : Monday, March 4, 2019 - 2:04:23 PM

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  • HAL Id : hal-00859036, version 1

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Pierre Suquet, Noël Lahellec. Homogenization and (Visco)plasticity : Variational Approximations. SIAM Conference on Mathematical Aspects of Materials Science, Jun 2013, Philadelphia, United States. ⟨hal-00859036⟩

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