Citation
Anza Aguirrezabala, Juan José and Alarcón Álvarez, Enrique
(1982).
The effect of boundary conditions in the numerical
solution of 3-D thermoelastic problems.
"Advances in Engineering Software", v. 4
(n. 3);
pp. 112-118.
ISSN 0965-9978.
https://doi.org/10.1016/0141-1195(82)90034-1.
Abstract
After the extensive research on the capabilities of the
Boundary Integral Equation Method produced during the
past years the versatility of its applications has been well
founded. Maybe the years to come will see the in-depth
analysis of several conflictive points, for example, adaptive integration, solution of the system of equations, etc. This line is clear in academic research. In this paper we comment on the incidence of the manner of imposing the boundary conditions in 3-D coupled problems. Here the effects are particularly magnified: in the first place by the simple model used (constant elements) and secondly by the process of solution, i.e. first a potential problem is solved and then the results are used as data for an elasticity problem. The errors add to both processes and small disturbances, unimportant in separated problems, can produce serious errors in the final results. The specific problem we have chosen is especially interesting. Although more general cases (i.e. transient)can be treated, here the domain integrals can be converted into boundary ones and the influence of the manner in which boundary conditions are applied will reflect the whole importance of the problem.