Problèmes d'inclusions dans une matrice anisotrope : applications à la plasticité des polycristaux et à la plasticité de transformation couplée

Abstract : This work concentrates on a general solution for an inclusion as applied to analyses of constitutive relations of polycrystalline metals as well as to the martensitic transformation. After discussion of fundamental equations of continuum mechanics, the three following cases of inclusion have been studied : the case of homogeneous plastic inclusion; the case of heterogeneous inclusion; the case of inclusion which is assumed plastic and heterogeneous. The analysis made it possible to derive Eshelby tensor S. It was accomplished by using the Fourier transformation. Thus, the form of the S-tensor has been determined as functions of elastic constants, orientation and geometry parameters of inclusion. The derivated integral form of the S-tensor appears to be complicated in its analytic expression. Consequently, the numerical analysis has been applied. This approach allowed, after some preliminary numerical studies for FCC metals, for the analysis of the following problems : the effect of grain geometry on constitutive relations for polycrystalline metals; the effect of grain geometry on the lattice rotation; an analysis of martensitic transformation
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Sonnou Tiem. Problèmes d'inclusions dans une matrice anisotrope : applications à la plasticité des polycristaux et à la plasticité de transformation couplée. Autre. Université Paul Verlaine - Metz, 1987. Français. ⟨NNT : 1987METZ005S⟩. ⟨tel-01775720⟩

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