EQUATIONS OF THE DYNAMIC PROBLEM OF THERMOELASTICITY IN STRESSES IN A THREE-ORTHOGONAL COORDINATE SYSTEM

摘要

By using the system of source equations including the equations of motion, Cauchy relations, generalized Hooke's law, and Saint-Venant compatibility equations for strains, we deduce the system of defining equations for the dynamic problem of thermoelasticity in stresses in an arbitrary three-orthogonal curvilinear coordinate system. This system is reduced to a system of successively coupled wave equations in which the equation for the first invariant of the stress tensor is independent. The initial conditions are presented for the resolving functions.