Аннотация:
The problem of construction of the fundamental solutions for a piecewise-homogeneous transversely
isotropic space is reduced to a matrix Riemann problem in the space of slowly increasing distributions.
We propose a method for the solution of this problem. As a result, in the explicit form, we obtain ex pressions for the components of the vector of fundamental solution and simple representations for the
components of the stress tensor and the vector of displacements in the plane of joint of transversely iso tropic elastic half spaces subjected to the action of concentrated normal and tangential forces. We study
the fields of stresses and displacements in the plane of joint of the half spaces. In particular, for some
combinations of materials, we present the numerical values of the coefficients of influence of concen trated forces on the stresses and displacements. We also establish conditions under which the normal
displacements are absent in the plane of joint of transversely isotropic elastic half spaces.
