The reduced modulus of elasticity of a layered half-space

Abstract

A layered half-space is represented as the sum of parts of homogeneous half-spaces of coating materials and the base material, the rigidity of which corresponds to the rigidities of the coating and the base. Using a rigid model of a layered elastic body loaded with an axisymmetric distributed load, a new solution is obtained for determining its reduced elasticity modulus and the Poisson’s ratio depending on the elastic characteristics of the base material, the coating material and the relative thickness of the coating. Expressions are given for the reduced elastic modulus and the Poisson’s ratio of a layered body with a two-layer coating.