General solution and fundamental solution for two-dimensional problem in orthotropic thermoelastic media with voids

Abstract

The aim of the present paper is to study the fundamental solution in orthotropic thermoelastic media with voids. With this objective, firstly the two-dimensional general solution in orthotropic thermoelastic media with voids is derived. On the basis of general solution, the fundamental solution for a steady point heat source on the surface of a semiinfinite orthotropic thermoelastic material with voids is constructed by six newly introduced harmonic functions. The temperature and voids distribution and components of displacement and stress are expressed in terms of elementary functions. From the present investigation, a special case of interest is also deduced and compared with the previous results obtained. Since all the components are expressed in terms of elementary functions, it is convenient to use them.