Abstract
In this paper, a coupled finite element (FE) and element free Galerkin (EFG) approach is presented for the simulation of fatigue crack growth problems. The problem domain is subdivided into two regions i.e. EFG region and FE region. A ramp function is used in the transition region to obtain the resultant shape functions. This approach effectively handles the crack growth problems without remeshing, and is found computationally more efficient than other meshfree methods. The effectiveness of this approach is demonstrated by simulating material interface fatigue crack growth problems. These simulations show that the results obtained by coupled approach are in good agreement with the XFEM results.
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