Abstract
In most research works related to stress analysis of thin structures subjected to temperature change it is assumed that variability of temperature in time is limited. In classical theory of thermoelastic thin structures the case of strong dynamical effects is excluded from consideration. Under this assumption, from three-dimensional equations of thermoelasticity the equations of thermoelastic plates and shells of Kirchhoff-type are derived. In this paper we focus on the analysis of stress-strain state of a plate in strongly dynamical temperature field, for which the classical Kirchhoff theory is not suitable. The analysis is carried out by a mathematical method without making any hypotheses. A numerical example is considered.
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