Investigation of the Stress-Strain State of a Rectangular Plate after a Temperature Shock

In this paper, the temperature shock phenomenon is considered. This occurs during operation of engineering structures on Earth and in outer space. A rectangular plate has been selected as a structural element exposed to shock. It rigidly sealed edge three free edges. one-dimensional third initial boundary value problem thermal conductivity was posed solved study stress–strain state plate. Fourier’s law used solve problem, taking into account inertial term, since fairly fast-dynamic phenomenon. believed that all thermophysical properties are constant do not depend its temperature. As result, field obtained after generates stresses inside plate, which lead deformations. To determine these deformations, thermoelasticity work. The Sophie Germain equation while solving problem. describe theory flexible plates used, middle surface Next, accuracy analytical solutions for points displacement homogeneous subjected investigated. constructed using numerical simulation. Functions vector components were approximate solutions. deformation estimated. results allow us work can be design both terrestrial space purposes terms stability calculations implementation constraints.