Kuslyva A. Nonlinear effects of elastic waves propagation in an anisotropic layer with mixed and different-type conditions on sides

The problem of determination of small nonlinear effects in normal elastic waves is considered. It consists in a generation of the nonlinear second harmonics of normal elastic SH- and P-SV- waves in an anisotropic layer m3m class of cubic system with four different types of boundary conditions. There is condition of covering opposite sides by flexible not extensible membranes, condition of the sliding fixing of opposite sides, and two different-type conditions: one of the sides is fixed and the other edge is free, one of the sides is fixed and the other side has a flexible not extensible coating. The model of geomet-rical and physical nonlinear deformation of anisotropic elastic media is used. Solving is based on the method of small pa-rameter. The analytical form of solutions of the researched heterogeneous boundary problems is build with application of specialized algorithm that is created in the environment of computer algebra. Series of principal amplitude-frequency de-pendences for normalized characteristics of intensity wave displacements and power flows in elastic waves of the second harmonics is investigated. General effects of influence of type of boundary conditions on amplitudes of the second harmonics for monochromatic normal waves and on the indexes of nonlinear anharmonic interaction of normal waves from one or different modes of corresponding dispersion spectrums are generalized and described.