Modeling of Contact Interaction of a Thermoelastic Body System using Schwartz Method for a Multidimensional Case

The algorithm of numerical solutions for polycontact thermomechanical problems of interaction of a system of bodies is described in this article. When evaluating the strength of a construction, it is important to take into consideration contact interaction of its various elements. The multidimensional quasi-stationary problem of deformation of thermoelastic bodies under the action of surface forces and inhomogeneous temperature fields is considered. For the discretization of the differential problem the finite element method is used. An algorithm based on the Schwartz iterative method is used to describe the contact interaction. The algorithm is specially modified to solve problems with simultaneous contact between a number of bodies. Using the example of a problem with a known solution, it is demonstrated that the developed algorithm can be used to obtain correct results when performing calculations with different numbers of bodies. The calculations of solutions to four problems (three test problems and one demonstration problem) in 3D and 2D (axisymmetric) formulations are compared. Good qualitative and quantitative agreement of the compared data is observed.

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