Численное моделирование связанной динамической задачи термоупругости в напряжениях

This article proposes a dynamic model of a coupled thermoelasticity problem under stress. A coupled boundary value problem is formulated, consisting of three differen tial equations for the stress and temperature tensor components, as well as a heat flux equation with corresponding initial and boundary conditions. Explicit and implicit finite difference equations are developed, solved by successive application of the sweep method along the coordinate axes and recurrence relations, respectively. The coupled dynamic thermoelasticity problem for an anisotropic rectangle under stress is solved numerically. A comparison of the results of explicit and implicit difference schemes demonstrates the reliability of the obtained numerical results and the validity of the proposed coupled dynamic boundary value problem of thermoelasticity under stress.