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• W30115609 abstract "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." @default.
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• W30115609 date "2005-12-03" @default.
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• W30115609 title "Modelling Stress-Dependent Transformation Strains of Heterogeneous Materials" @default.
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• W30115609 doi "https://doi.org/10.1007/0-306-46935-9_1" @default.
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