Abstract

A new and simple numerical method is presented for computing large amplitude, one-dimensional wave propagation in composite materials. The method deals with values of stress, particle velocity, and displacement that are averaged over several unit cells of the composite. The principal advantage of the method over previous macroscopic approaches is that it uses the numerical oscillations and the artificial viscosity already present in one-dimensional hydrocodes to model the geometric and dissipative dispersions of the composite material. The hydrocodes (such as PUFF or WONDY) may be used in their present form without additional dispersion relations. The method is shown to correspond to a definite physical constitutive material model. Comparisons of computational results with this method are made with those from previous models and with experimental measurements.

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