An Axisymmetric Contact Problem of a Transversely Isotropic Layer Indented by an Annular Rigid Punch

Abstract

A solution is given for the frictionless identation of a transversely isotropic layer by an annular rigid punch, where the elastic layer is resting on a rigid foundation. The problem is reduced to an infinite system of simultaneous equations using the method of expressing the normal stress under the punch as appropriate series. The effects of transverse isotropy and identational load on the stress field are studied. The results are compared with numerical solutions for the corresponding isotropic problem.