Y. G. Ispolov
Russia, 195251, St.-Petersburg, Polytechnicheskaya st. 29,
St.-Petersburg
State Technical University,
Department of Mechanics and control processes,
E. A. Postoyalkina
Russia, 195251, St.-Petersburg, Polytechnicheskaya st. 29,
St.-Petersburg
State Technical University,
Department of Mechanics and control processes,
N. N. Shabrov
Russia, 195251, St.-Petersburg, Polytechnicheskaya st. 29,
St.-Petersburg
State Technical University,
Department of Mechanics and control processes,
Numerical solution of coupled thermoelasticity problem is considered. On the basis of Runge-Kutta methods new numerical integration algorithms for differential equations of finite element problem formulation are developed. Internal properties of mechanical system are taken into account in algorithm construction. For one-dimensional problem an improved algorithm based on ideas of direct mathematical modeling method developed in Shorr B.F. works is proposed. Analysis of algorithms' performance is carried out on numerical solution of plane thermoelastic wave propagation problems. The exact solutions of coupled and noncoupled problems have not only quantitative but qualitative difference. Capability of proposed methods to reproduce this difference is investigated.