Overall Stresses and Strains in Solids with Microstructure

Within the context of the usual small deformation theory, the notions of overall stresses and strains associated with representative samples of solids with microstructure, e.g. polycrystalline aggregates and composites, are reviewed. The overall response of a finite solid with microstructure; and that of an infinitely extended solid with periodic microstructure, is examined considering both linearly elastic and nonlinearly creeping microconstituents. Then, estimates are given for the overall properties of solids containing randomly distributed microdefects; and, finally, the elastoplastic response of polycrystalline solids is discussed.

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