2-D static response of a transversely isotropic multilayered half-space to surface loads

Abstract

The two-dimensional problem of the static deformation of a transversely isotropic, multilayered, elastic half-space by surface loads is studied. Both plane strain and antiplane strain cases are considered. The method of layer matrices is used to obtain the field at any point of the medium. Explicit expressions for stresses caused by a surface line load on a transversely isotropic uniform half-space are derived. The present formulation avoids the cumbersome nature of the problem and is quite convenient for numerical computation.