The Method of Direct Integration of the Equations of Three-Dimensional Elastic and Thermoelastic Problems for Space and a Halfspace

The method of direct integration of differential equilibrium and compatibility equations in stresses is proposed for three-dimensional quasistatic elastic and thermoelastic problems for space and a halfspace. A closed system of equations is formulated to determine six components of the stress tensor. These problems are solved with the help of the integral Fourier transformation     

Solution of a Three-Dimensional Elastic Problem for a Layer

A closed system of differential equations for stresses and boundary and integral equilibrium and compatibility conditions for the components of the stress tensor are derived in solving a three-dimensional elastic problem for an unbounded layer. These equations are proposed to integrate directly.