Surface stress waves in a nonhomogeneous elastic half-space. Part II. Existence of surface waves for an arbitrary variation of Poisson's ratio. Approximate solution based on perturbation methods

2014/02/12 by Tadeusz Klecha, Klecha, T.
Engineering · #Composite Material Mechanics #Elasticity and Wave Propagation #Thermoelastic and Magnetoelastic Phenomena

paper · doi:10.24423/aom.1354

openalex publication_date 2014/02/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/01

Abstract

Two approaches to the solution of the nonlinear eigenvalue problem of propagation of surface waves in a nonhomogeneous isotropic elastic half-space are considered. In Sec. 1 the nonlinear eigenvalue problem is transformed to the equivalent integral equation, and the method of solving this equation is proposed. In Sec. 2 Friedrich's perturbation theory [6] is used to solve an eigenvalue problem describing the surface stress waves in a "weakly" nonhomogeneous isotropic elastic half-space. Two cases are discussed in detail: a) a half-space with a "weak" variation of density, b) a half-space with a "weak" variation of the shear modulus. In both cases an asymptotic solution is obtained and numerical results are given.

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