Development of a mixture model for nonlinear wave propagation in fiber- reinforced composites (Q1205026)

A method for constructing dispersive, nonlinear mixture models for unidirectionally fiber-reinforced composites is described. System nonlinearities in the treated example result from nonlinear material properties of the constituents. The proposed model is a nonlinear generalization of the linear model developed by \textit{H. Murakami} and \textit{G. A. Hegemier} [J. Appl. Mech. 53, 765-773 (1986; Zbl 0606.73087)] for elastic constituents. Model construction is based upon a homogenization technique which employs multivariable asymptotic expansions in conjunction with certain weighted residual procedures.