A high-order mixture model for periodic particulate composites (Q1089156)

A deterministic mixture theory is presented for periodic particulate composites. The model is constructed by introducing convenient microdisplacement and microstress variables, and by using a regular asymptotic technique with multiple scales. Governing equations and appropriate boundary conditions are then deduced from Reissner's mixed variational principle. In order to test the accuracy of the present model, harmonic wave propagation is examined and compared with available experimental data for glass/epoxy and steel/PMMA composites reported by \textit{V. K. Kinra} and \textit{E. L. Ker} [ibid. 19, 393-410 (1983)]. Also, the effective elastic moduli are computed, and the results compared with other analytical methods.