Open Access

ARTICLE

Solving Embedded Crack Problems Using the Numerical Green’s Function and a meshless Coupling Procedure: Improved Numerical Integration

E.F. Fontes Jr¹, J.A.F. Santiago¹, J.C.F. Telles¹

1 Civil Engineering Programme, COPPE, UFRJ, RJ, Brazil.

Computer Modeling in Engineering & Sciences 2014, 102(3), 211-228. https://doi.org/10.3970/cmes.2014.102.211

Abstract

An iterative coupling procedure using different meshless methods is presented to solve linear elastic fracture mechanic (LEFM) problems. The domain of the problem is decomposed into two sub-domains, where each one is addressed using an appropriate meshless method. The method of fundamental solutions (MFS) based on the numerical Green’s function (NGF) procedure to generate the fundamental solution has been chosen for modeling embedded cracks in the elastic medium and the meshless local Petrov-Galerkin (MLPG) method has been chosen for modeling the remaining sub-domain. Each meshless method runs independently, coupled with an iterative update of interface variables to achieve the final convergence. The coupling procedure is easy to apply for any LEFM problems with one or more cracks and can save time in the construction of the problem representation by points. In addition, different numerical integral approaches are tested for to compute integrals of the MLPG method.
The iterative solution procedure presented yields good results as compared with the boundary element method and alternative solutions for stress intensity factor computations.

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Keywords

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