Solution of three-dimensional static problems of thermoelasticity

Autor: G. P. Gromovoi
Rok vydání: 1994
Předmět:
Zdroj: International Applied Mechanics. 30:184-192
ISSN: 1573-8582
1063-7095
DOI: 10.1007/bf00847333
Popis: The methods of variable coordinate directions, longitudinal-transverse trial run, fractional steps, factorization, splitting, and termwise approximation are among the finite-difference methods that have been used to solve three-dimensional problems of mathematical physics. These closely related methods are based on the reduction of a complex differential problem to the sequential solution of simple unidimensional equations. In the present investigation differential equations of equilibrium are represnted as evolutionary equations in a coordinate-component form analogous to the equation that describes anisotropic heat conduction with heat sources. An iterative method of establishing the steady state of the sytsem is constructed with the use of a stable two-step computing scheme as part of an implicit variant of the method of variable directions for a two-compound equation. An intermediate step is realized in the solution of the three-dimensional equation without a time shift, the equation of state here having a third component. Such an approach does not fundamentally alter the procedure and has made it possible to develop a relatively simple, unconditionally stable iterative method of solving equations of the theory of elasticity.
Databáze: OpenAIRE
Externí odkaz: