Thermoelastic problem of dissimilar anisotropic solids with a rigid line inclusion

A general solution to the thermoelastic problem of an interface rigid line inclusion between anisotropic dissimilar media is presented. The complex variable representation of plane elastic problem developed by Lekhnitskii is extended into anisotropic thermoelasticity, and a special technique of analytical continuation is introduced to deal with the dissimilar media problem. It is indicated that singularities of the thermal stresses induced by a rigid line inclusion are similar to the case of a slit crack. A numerical example for zirconia bonded to titanium composite under remote heat flux is also examined.