METHOD OF GENERALIZED FUNCTIONS IN PLANE BOUNDARY VALUE PROBLEMS OF
UNCOUPLED THERMOELASTODYNAMICS
Abstract
Nonstationary boundary value problems of uncoupled thermoelasticity are
considered. A method of boundary integral equations in the initial
space-time has been developed for solving boundary value problems of
thermoelasticity by plane deformation. According to generalized
functions method the generalized solutions of boundary value problems
are constructed and their regular integral representations are obtained.
These solutions allow, using known boundary values and initial
conditions (displacements, temperature, stresses and heat flux), to
determine the thermally stressed state of the medium under the influence
of various forces and thermal loads. Resolving singular boundary
integral equations are constructed to determine the unknown boundary
functions.