Abstract
A set of constitutive relations are derived for the prediction of the average finite deformation of composite materials whose constituents are either nonlinearly elastic or nonlinearly elastoplastic materials. The average response of the composite to a given type of loading is solely determined from the known mechanical properties of the phases and their relative volumes. Particulate composites including porous materials, as well as short-fiber, long-fiber and periodically bilaminated composites, are obtained by a proper selection of some geometrical parameters. Comparisons with other approaches are made.
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