Abstract

After the review of the results of some seminal research on the role of prestress in elasticity, propagation and interaction of weakly nonlinear elastic plane waves in an initially stressed material are considered. The model of a prestressed solid is based on the theory of invariants. The strain energy function of an initially stressed elastic material depends not only on the invariants of the strain or on the invariants of the initial stress but also on the combined invariants of both strain and initial stress. The influence of prestress on the evolution equations for the amplitudes of weakly nonlinear elastic waves, as well as on the waves' interaction coefficients, is investigated.

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