TY - EJOU AU - Wen, P.H. AU - Aliabadi, M.H. AU - Liu, Y.W. TI - Meshless Method for Crack Analysis in Functionally Graded Materials with Enriched Radial Base Functions T2 - Computer Modeling in Engineering \& Sciences PY - 2008 VL - 30 IS - 3 SN - 1526-1506 AB - 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. KW - element-free Galerkin method KW - functionally graded materials KW - cracks KW - enriched radial base function KW - static and dynamic load KW - stress intensity factors DO - 10.3970/cmes.2008.030.133