Numerical modeling of the thermo-stressed state of isotropic bodies

This article proposes a numerical method for solving unconnected static boundary value problems of the theory of thermoelasticity, based on the finite-difference approach. Mathematical and numerical models of a two-dimensional unconnected static boundary value problem of thermoelasticity for an isotropic rectangle with boundary conditions of the first and second types are considered. Finite-difference schemes have been constructed that allow, in combination with the iterative method, to find the desired nodal displacement values. The influence of the temperature field on the stress-strain state of the considered solid is estimated.

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