Abstract
In order to analyze time-dependent deformation of composites with periodic internal structures, the present authors recently developed a homogenization theory based on the two scale expansion of field variables. The theory, which enables us to compute incrementally the time-dependent deformation by discretizing unit cells with finite elements, is effective for problems in which either macro-strain or macro-stress, or a combination of them, is prescribed. In this paper, the theory is described without recourse to the asymptotic expansion by considering the macroscopically uniform case, and then the theory is applied to analyzing transverse elastic-viscoplastic deformation of unidirectional fiber-reinforced composites subjected to a prescribed history of combined macro-strain and macro-stress.
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Ohno, N., Wu, X. Homogenized properties of elastic-viscoplastic composites with periodic internal structures. Metals and Materials 4, 269–274 (1998). https://doi.org/10.1007/BF03187775
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DOI: https://doi.org/10.1007/BF03187775