GENERAL-SOLUTION TO THE HYGROTHERMOELASTIC INTERFACE PROBLEM WITH DISCONTINUITY BETWEEN DISSIMILAR ANISOTROPIC MEDIA

A general solution to the hygrothermoelastic problem associated with a n interface discontinuity between dissimilar anisotropic media is pres ented. The complex variable representation of Lekhnitskii [Theory of E lasticity of an Anisotropic Elastic Body (Holden-Day, San Francisco, C A, 1963)] is extended into the hygrothermoelastic problem by means of five complex functions including three stress functions, one temperatu re function, and one moisture function. A special technique of analyti cal continuation is used to deal with the continuous conditions of dis similar media. Based on the Hilbert problem formulation, the linear re lation between the boundaries of discontinuity can be derived into a t ype of Cauchy integral, which makes the solution in a compact version. The result shows that the heat or moisture flux exhibits an inverse s quare-root singularity at the tips of discontinuity while the nature o f singularity of the hygrothermal stresses possess the same trig-log c haracter as those obtained for the elastic problem.