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Small amplitude nonlinear waves in an anisotropic elastic body. (English. Russian original) Zbl 0879.73014
Proc. Steklov Inst. Math. 211, 262-274 (1995); translation from Tr. Mat. Inst. Steklova 211, 288-303 (1995).
We present some recent results on small amplitude waves in an elastic medium taking into account the effects of nonlinearity and anisotropy. An important feature is the existence of several solutions to many natural problems. Here we determine which of these solutions hold in a medium when the viscosity coefficient tends to zero. We also study the limit case when anisotropy tends to zero.
For the entire collection see [Zbl 0863.00015].

74J10 Bulk waves in solid mechanics
74E10 Anisotropy in solid mechanics