Propagation of nonlinear shear horizontal (SH) waves in an elastic medium divided by a layer of uniform thickness

In this study, a solution of boundary value problem of the nonlinear shear horizontal (SH) wave propagation in an infinite elastic medium is obtained for specific condition by using an asymptotic perturbation method. The infinite elastic medium, divided by an elastic layer of uniform thickness h, is composed of two half-spaces and one layer of uniform thickness, located between of half-spaces. These mediums have different elastic characteristics from each other and consist of generalised neo-Hookean materials. In the first section, Love waves are introduced briefly and the aim of the study is presented. Also, the analysis and the results are mentioned. In the second section, in the infinite elastic medium divided by a layer of uniform thickness, motion equations and boundary conditions of nonlinear shear horizontal wave propagation are defined. Then, motion equations and boundary conditions are linearized in order to investigating boundary value problem of linear horizontal shear wave propagation. As c is the phase velocity and the constants cv are linear shear velocities, under the condition c21.11. As a result, it is found that behavior of the wave propagation is affected by nonlinear characteristics of the mediums.