The element free Galerkin method has been used to solve linear elastic fracture mechanics problems using least square approximations, where the dependent variable at any point is obtained by minimizing a weighted discrete -error norm involving the nodal variable within a small domain surrounding the point. Special techniques are presented for enriching the EFG approximations near the crack tip such as extrinsic and intrinsic enrichment. Extrinsic enrichment involves the addition of solution form to the trial function, whereas the EFG basis is expanded to include few terms from...