Abstract
A new closed form solution of the axisymmetric dynamic problem of the classical thermoelasticity theory is made for a rigidly fixed circular isotropic plate under temperature change on its front surfaces. The mathematical formulation of the problem under consideration includes linear equations of heat conduction and equilibrium in the spatial formulation on the assumption that the structures under study may neglect their inertia elastic characteristics. When constructing a common solution finite biorthogonal transformations are used. The given calculation ratios make it possible to determine the stress – strain state and the distribution nature of the temperature field in a rigidly fixed circular isotropic plate with an external temperature influence that is arbitrary in time.
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