Two-phase potentials in anisotropic elasticity: antiplane deformation

Abstract

Based upon the Lekhnitskii-Eshelby approach of two-dimensional anisotropic elasticity, it is shown that only one holomorphic function can fully describe the antiplane deformation of a composite consisting of two discrete phases of anisotropic materials. The complex potentials of the two phases are expressed in terms of this holomorphic function which constitutes the two-phase potential of the composite. The analysis is implemented to develop solutions to the problem of an elliptical inhomogeneity in an unbounded matrix and to that of two semi-infinite dissimilar materials bonded along a planar interface. (C) 1998 Elsevier Science Ltd. All rights reserved.