Variation of strain spectrum of elastic waves by connection of materials.

Abstract

The strain spectrum of elastic plane waves is analyzed on the assumption that the elastic modulus and the density continuously change in the connection of two linear elastic materials. At first, a pair of differential equations is derived which governs the variation of the spectra of the strain and the velocity. Numerical results are given for the following three cases of the connection. That is, the connection of two differeat elastic materials, the connection of the same materials, and the layered connection of two elastic materials. It is found that the transmission coefficient of the power spectrum of the strain varies according to the width, the density and the elastic modulus of the connection, or the variation of the number and the width of the layers.