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Matematicheskoe modelirovanie, 1998, Volume 10, Number 3, Pages 61–82 (Mi mm1259)  

Computational methods and algorithms

The nonstationary coupled problem of thermoelasticity in different spatial approximations

P. Borodina, M. P. Galaninb

a M. V. Lomonosov Moscow State University
b M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Abstract: The work is dedicated to the development and investigation of the numerical algorithms for the numerical solution of the nonstationary coupled problem of thermoelasticity in spherically symmetric, plane one-dimensional and two-dimensional cases. The finite element and finite difference algorithms were constructed for these purposes. Their qualitative (for example total conservativeness influence) and quantitative properties were investigated in theory and in tests. The developed algorithms were used for the solution of the problem of elastic layered body response on the supply of two thermal impulses. It is shown that depending on the time delay between impulses the result of the second impulse influence can be considerably changed and in particular its destructive action can be reduced.
Received: 09.10.1997
Language: Russian
Citation: P. Borodin, M. P. Galanin, “The nonstationary coupled problem of thermoelasticity in different spatial approximations”, Matem. Mod., 10:3 (1998), 61–82
Citation in format AMSBIB
\Bibitem{BorGal98}
\by P.~Borodin, M.~P.~Galanin
\paper The nonstationary coupled problem of thermoelasticity in different spatial approximations
\jour Matem. Mod.
\yr 1998
\vol 10
\issue 3
\pages 61--82
\mathnet{http://mi.mathnet.ru/mm1259}
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    Математическое моделирование
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