| Journal: | Journal of the Brazilian Society of Mechanical Sciences and Engineering |
| Database: | PERIÓDICA |
| System number: | 000312171 |
| ISSN: | 1678-5878 |
| Authors: | Huacasi, W1 Mansur, W.J2 Azevedo, J.P.S |
| Institutions: | 1Universidade Estadual do Norte Fluminense, Laboratorio de Matematica, Campos dos Goytacazes, Rio de Janeiro. Brasil 2Universidade Federal do Rio de Janeiro, Departamento de Engenharia Civil, Rio de Janeiro. Brasil |
| Year: | 2003 |
| Season: | Oct-Dic |
| Volumen: | 25 |
| Number: | 4 |
| Pages: | 364-372 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental |
| English abstract | In this paper a direct boundary element hypersingular formulation for three-dimensional potential problems is presented. It is shown that the integrals which arise in this formulation are Cauchy principal value integrals, i.e., divergent terms of the finite part integrals cancel one another. Since in the present formulation the collocation points are placed within boundary elements, free terms are computed by simple expressions. The resulting integrals are one-dimensional and regular, therefore can be evaluated by Gaussian quadrature. For the numerical implementation, both linear and quadratic isoparametric triangular and quadrangular elements were used. Numerical results are presented to show the efficacy of the proposed hypersingular formulation |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Metodo de elementos frontera, Formulación hipersingular, Valor principal de Cauchy, Integrales, Partes finitas |
| Keyword: | Mathematics, Pure mathematics, Boundary element method, Hypersingular formulation, Cauchy principal value, Integrals, Finite parts |
| Full text: | Texto completo (Ver HTML) |
