Dependence of Stress State on Elastic Constants in Axisymmetric Dissimilar Materials.

Abstract

It is well known that the stress state in 2-dimensional dissimilar materials depends on mutually independent two elastic constants (parameters) and the problem can be put in order effectively by two parameters called Dundurs'ones. In this paper, the dependence of stress state on elastic constants in axisymmetric dissimilar materials is studied by using Michell's stress function and it is made clear first that, different from 2-dimensional problem, the stress state for axisymmetric case depends on three mutually independent parameters. Subsequently, which combination of three parameters is useful to deal with the problem is discussed and a combination of three parameters is presented as parameters for axisymmetric problems that play the role corresponding to Dundurs'parameters for 2-dimensional problem. Moreover, finite element analyses are carried out and the usefulness of the parameters to study the effect of material combination on stress state is demonstrated.