Surface responses induced by point load or uniform traction moving steadily on an anisotropic half-plane

Abstract

Surface responses induced by point load or uniform traction moving steadily with subsonic speed on an anisotropic half-plane boundary are investigated. It is found that the effects of the material constant on surface displacements are through matrices L-1(v) and S(v)L-1(v), while those on surface stress components are through matrices Ω(v) and Γ(v). Explicit expressions for the elements of these four matrices are expressed in terms of elastic stiffness for general anisotropic materials. The special cases of monoclinic materials with symmetry plane at x1 = 0, x2 = 0 and x3 = 0, and the case for orthotropic materials are all deduced. Results for isotropic material may be recovered from present results. For monoclinic materials with a plane of symmetry at x3 = 0, two of the elements of matrix Ω(v) are found to be independent of subsonic speed. © 2008 Elsevier Ltd. All rights reserved.