A Class of Three-Dimensional Boundary-Value Problems of Thermoelasticity

Consideration is given to a class of static boundary-value problems of thermoelasticity and their solutions for bodies bounded by surfaces in orthogonal curvilinear coordinates. The following parameters are given: heat intensity, normal displacement, the tangential component of the curl of the displacement vector or temperature, the divergence of the displacement vector, and tangential displacement. The problem is reduced to the successive integration of the Laplace and Poisson equations with the classical boundary conditions. Specific problems of thermoelasticity are solved in Cartesian and cylindrical coordinates __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 9, pp. 137–144, September 2005.