Abstract

The propagation condition for infinitesimal plane waves superposed on a state of homogeneous strain in isotropic elastic solids is expressed in a simple form in terms of certain instantaneous moduli of elasticity referred to the principal axes of the underlying strain. The constitutive laws of Hadamard, Green, and harmonic materials are obtained with some economy by using the propagation condition in this form. Under certain restrictions these materials are shown to satisfy the strong ellipticity condition.

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