Algoritmos de integração eficientes para o método dos elementos de contorno tridimensional. / Efficient integration algorithms for the three-dimensional boundary element method.

AUTOR(ES)
DATA DE PUBLICAÇÃO

2001

RESUMO

In this work the three-dimensional elastic problem is analyzed by the boundary element method using the Kelvin fundamental solution. Two main formulations are applied. The first one uses the classical Kelvin fundamental solution and the other, hyper-singular, uses a derivative of the Kelvin fundamental solution. The boundary is discretized by flat triangular elements with constant, linear and quadratic approximations. The singular integrals are analytically developed for constant elements, while for linear and quadratic elements a semi-analytical process is employed. Different techniques to perform quasi-singular boundary integrals are presented and their efficiency and accuracy are compared. Several numerical examples are presented, including slender problems. The results are compared with known solutions given by the theory of elasticity, or with other results found in the literature.

ASSUNTO(S)

elasticidade tridimensional elementos de contorno boundary elements técnicas de integração three-dimensional elasticity integration techniques

ACESSO AO ARTIGO

Documentos Relacionados