Abstract: | We consider three-dimensional boundary-value problems of the stationary theory of heat conduction and thermoelasticity for
rectangular homogenous isotropic plates of arbitrary thickness. It is assumed that the temperature or heat flux density prescribed
on the top and bottom surfaces admit a representation in the form of double trigonometric series. A closed-form analytic solution
is obtained for the boundary-value problems of thermoelasticity in the case of plates with contacting edges along the lateral
faces. Numerical computations are given for three types of boundary-value problems using the software package mathcad PLUS
6.0 for thin and thick plates. We construct the graphs of variation of the temperature, deflection, and normal stresses over
the thickness of the plate. Three figures, 1 table. Bibliography: 6 titles.
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 27, 1997, pp 18–26. |