Abstract

This work aims at the modelling and simulating of the embedded and edge cracks in steel alloys by employing extended finite element method. Unlike FEM where the crack growth modelling is cumbersome due to the conformal meshing and mesh refinement, this technique allows modelling of all types of discontinuities independent of the mesh. Appropriate functions called enrichment functions are included to the standard FEM approximations so as to accommodate the influence of different discontinuities present in the domain. The level set method has been employed to keep track of discontinuities. The stress intensity factors have been obtained by employing the domain based interaction integral approach. Accurate and effective MATLAB codes have been developed on XFEM to model various types of cracks in engineering materials. Finally some numerical problems have been solved by the extended finite element method to reveal the capabilities of the proposed approach in modelling fracture mechanics problems.

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