Open Access

ARTICLE

Meshless Method for Crack Analysis in Functionally Graded Materials with Enriched Radial Base Functions

by P.H. Wen¹, M.H. Aliabadi², Y.W. Liu³

1 Department of Engineering, Queen Mary, University of London, London, UK, E1 4NS
2 Department of Aeronautics, Imperial College, London,UK, SW7 2BY
3 College of Mechanics and Aerospace, Hunan University, Changsha 410082, PR China

Computer Modeling in Engineering & Sciences 2008, 30(3), 133-148. https://doi.org/10.3970/cmes.2008.030.133

Abstract

Based on the variation of potential energy, the element-free Galerkin method (MFGM) has been investigated for structures with crack on the basis of radial base function interpolation. An enriched radial base function is introduced to capture the singularities of stress at the crack tips. The advantages of the finite element method are remained in this method and there is a significant improvement of accuracy, particularly for the crack problems of fracture mechanics. The applications of the element-free Galerkin method with enriched radial base function to two-dimensional fracture mechanics in functionally graded materials have been presented and comparisons have been made with numerical solutions using different numerical approaches.

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