Analysis of mixed-mode crack tip in functionally graded beams by using XEFGM

الملخص EN

An extended element free Galerkin method (XEFGM) has been adopted for crack propagation of for graded glass/epoxy beams (along X1) subjected to non-proportional four point bending.

The incompatible interaction integral method and the sub-triangle technique for enhancing the gauss quadrature accuracy near the crack are employed to calculate the stress intensity factors.

Numerical simulations have proved that XEFGM provides accurate results by less number of nodes (DOFs) in comparison with the conventional FEM under mixed-mode and non-proportional loading.

MATLAB codes are used in obtaining the results of this research.

The results have shown good the reliability, stability, and efficiency of present XEFGM and good agreements with the experimental works of crack propagation with using less nodes in compare with the relevant references.