Surface wave in slightly compressible, finitely deformed elastic media
The authors consider the title problem in an elastic half-space. First, the governing equations are derived for small amplitude motions superimposed upon a finitely deformed-slightly compressible elastic solid. These equations describe the propagation of infinitesimal surface waves along the boundary of a half-space composed of such material. The authors obtain the speed of surface waves propagating along a principal direction parallel to the free surface. The existence of surface waves is investigated for a specific strain energy function. It is shown that, whenever a surface wave exists, it is unique. The authors establish the domain of existence of surface waves, and present numerical solutions which exhibit both the dependence of the surface wave speed on normal principal Cauchy stress, and the effect of change in the bulk modulus.
finitely deformed-slightly compressible elastic solid
scientific article; zbMATH DE number 1445999
scientific article