Solution of the dynamic problem of thermoelasticity in stresses for a strip
The method for solving a two-dimensional dynamic thermoelasticity problem in stresses for a strip with a rectangular cross-section is proposed. The initial system of equations in stresses, which describes the plane-stress state of the strip, is selected. A solution method is developed based on approximating the distributions of all components of the dynamic stress tensor using cubic polynomials with respect to the thickness coordinate of the strip. This reduces the original system of two-dimensional unsteady equations to a system of one-dimensional unsteady equations