Influence of Concentrated Forces and Heat Sources on the Distribution of Stresses in the Interface of Two Different Transversely Isotropic Half Spaces

We study the influence of concentrated forces and heat sources on the distribution of stresses in the interface of two different transversely isotropic half spaces. For this purpose, we construct fundamental solutions for a piecewise homogeneous transversely isotropic space subjected to the action of concentrated normal and tangential forces, as well as concentrated heat sources. Explicit expressions for these solutions are obtained by reducing the problem to the Riemann matrix problem in the space of generalized functions of slow growth for which we get the exact solutions. As a result, we obtain the distribution of normal stresses in the interface plane for different combinations of transversely isotropic materials in the presence of one or two concentrated forces, as well as in the presence of concentrated heat sources and concentrated forces. The results of numerical analyses reveal a significant influence of the thermoelastic characteristics of chosen materials of transversely isotropic half spaces and their combinations under the action of several concentrated forces and concentrated heat sources on the stress field in the interface plane.