Estudo das Trincas Retas com o Método dos Elementos de Contorno, a Fun??o de Green Numérica e a Técnica da Dupla Reciprocidade

摘要

In recent years, the Boundary Element Method (MEC) has been applied successfully to mechanical problems of linear elastic fracture mechanic (LEFM) involving static and dynamic cases. To solve problems with domain actions (for example: gravitational forces, transient problems with speeds and accelerations, etc.) via BEM, Nardini and Brebbia presented in 1982 the Technique of the Dual Reciprocity (DR), initially with the intention of solving transient problems using static, but has proved to be quite adequate and effective in solving problems with actions of domains. Based on the above, this paper presents complementary studies initiated by Vera-Tudela in 2003, using the Technique of Numerical Green’s Functions (FGN), together with the Dual Reciprocity. The development of these three formulations for the analysis of mechanical problems fractures under the effect of domain charges constitute a step forward in addressing the problems BEM. Although the use of Dual Reciprocity technique in fracture mechanics problems is not recent, their joint implementation with the Numerical Green Function represents a novelty in research and with the advantage of not having to do the discretization of the surfaces of the cracks because the integrations are made only on the contour of the problem. Two examples are presented, and the results compared with the reference literature and with the theory show and efficiency of the formulation.