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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2020 110, 24 pp. (Mi ipmp2901)

This article is cited in 4 papers

Mathematical modeling of the contact interaction of the fuel element with creep using the mortar-method

P. S. Aronov, M. P. Galanin, A. S. Rodin


Abstract: An algorithm for solving axisymmetric contact problems of the theory of thermoelasticity with creep processes is considered. To take into account the contact interaction of bodies, the mortar method was used, a modified method of over relaxation was used to solve the obtained system of linear equations. For the test task, the resulting numerical solution is compared to the analytical solution. The results of application of the proposed algorithm for the demonstration problem simulating thermomechanical processes in the fuel element section including from 2 to 10 fuel pellets are presented.

Keywords: contact problem of the elasticity theory, finite element method, mortar-method, modified method of over relaxation, creep, fuel element.

DOI: 10.20948/prepr-2020-110



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