Modelling stress-dependent transformation strains of heterogeneous materials - Archive ouverte HAL
Communication Dans Un Congrès Année : 1998

Modelling stress-dependent transformation strains of heterogeneous materials

Résumé

This paper aims at drawing attention to some difficulties which may arise when using the concept of “stress-free strain” or “transformation strain” for the prediction of the macroscopic behaviour of rate-independent or rate-dependent elastoplastic polycrystals and composite materials, especially in the context of the self-consistent homogenization procedure. These difficulties are due to the stress-dependence of plastic and viscoplastic strains, which can hardly be considered as true “stress-free strains”, contrary to other physically well-identified (thermal, magnetic...) eigenstrains: when omitting this stress-dependence within an elastic framework, a direct self-consistent-type derivation of the overall behaviour leads to an overestimation of the mechanical interphase interactions and of the resulting overall stiffness. An alternative treatment, based on a tangent-type linearization process, is proposed which leads to the introduction of fictitious “stress-free strains” that do not reduce to the plastic or the viscoplastic ones and consequently yield softer predictions. Nevertheless, the limits of Hill’s approximation of the nonlinear self-consistent modelling are acknowledged and discussed.

Dates et versions

hal-00116522 , version 1 (26-11-2006)

Identifiants

Citer

André Zaoui, Renaud Masson. Modelling stress-dependent transformation strains of heterogeneous materials. IUTAM Symposium on Transformation Problems in Composite and Active Materials, Mar 1997, Le Caire, Egypt. pp.3-15, ⟨10.1007/0-306-46935-9_1⟩. ⟨hal-00116522⟩
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