Open Access

ARTICLE

Meshless Method with Enriched Radial Basis Functions for Fracture Mechanics

P.H. Wen¹, M.H. Aliabadi²

1 Department of Engineering, Queen Mary, University of London, London, UK, E1 4NS.
2 Department of Aeronautics, Imperial College, London, UK, SW7 2BY.

Structural Durability & Health Monitoring 2007, 3(2), 107-120. https://doi.org/10.3970/sdhm.2007.003.107

Abstract

In the last decade, meshless methods for solving differential equations have become a promising alternative to the finite element and boundary element methods. Based on the variation of potential energy, the element-free Galerkin method is developed on the basis of finite element method by the use of radial basis function interpolation. An enriched radial basis function is formulated to capture the stress singularity at the crack tip. The usual advantages of finite element method are retained in this method but now significant improvement of accuracy. Neither the connectivity of mesh in the domain by the finite element method or integrations with fundamental/particular solutions by the boundary element method is required in this approach. The applications of element-free Galerkin method with enriched radial basis function for two-dimensional fracture mechanics have been presented and comparisons have been made with benchmark analytical solutions.

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