Abstract
An exact solution has been constructed for the equations of nonlinear elasticity theory, describing monochromatic shear surface waves, supported by the interface between a uniaxial nonlinear crystal and a layer of a “linear” crystal of arbitrary thickness, and by the interface between a nonlinear crystal and another nonlinear crystal (both semi-infinite and in the form of a thin layer). We consider the propagation of surface waves in which the maximum of the amplitude is located at a finite depth under the boundary of the nonlinear self-focusing crystal. Shear surface waves not existing in linear theory are predicted at the interface between two semi-infinite crystals and at the interface betwwen a nonlinear crystal and an “accelerating” elastic layer. In particular, nonlinear shear surface waves with vanishingly small amplitude at the interface are described.
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