Journal
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Volume 23, Issue 5, Pages 513-528Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2014.984093
Keywords
extended element free Galerkin (XEFG); fracture; functionally graded material (FGM); meshless; stress intensity factors
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An extended element free Galerkin method (XEFGM) has been adopted for fracture analysis of functionally graded materials (FGMs). Orthotropic enrichments functions are used along with the sub-triangle technique for enhancing the Gauss quadrature accuracy near the crack, and the incompatible interaction integral method is employed to calculate the stress intensity factors. Numerical simulations have proved that XEFGM provides more accurate results by less number of nodes (DOFs) in comparison with the unenriched EFGM and other conventional methods for several FGM problems with different crack locations and loadings. The results have been compared with the reference results, showing the reliability, stability, and efficiency of present XEFGM.
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