Communication Dans Un Congrès Année : 2008

Incremental variational principles with application to the homogenization of nonlinear dissipative composites

Résumé

This study is devoted to the overall response of nonlinear composites composed of phases which have a partly reversible and partly irreversible behavior, typically elasto-viscoplastic constituents. Upon use of an implicit time-discretization scheme, the evolution equations describing the constitutive behavior of the phases are reduced to the minimization of an incremental energy function. This minimization problem is rigorously equivalent to a nonlinear thermoelastic problem with a nonuniform transformation field. Two different techniques for approximating the nonuniform eigenstrains by piecewise uniform eigenstrains and for linearizing the nonlinear thermoelastic problem will be presented.

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hal-00320865 , version 1 (11-09-2008)

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  • HAL Id : hal-00320865 , version 1

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Pierre Suquet, Noël Lahellec. Incremental variational principles with application to the homogenization of nonlinear dissipative composites. XXII ICTAM, Aug 2008, Adelaide, Australia. ⟨hal-00320865⟩
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