I want to compare my X FEM results for single edge cracked beam under uniform tension. I find displacement around crack tip in fracture mechanics book, however, I want to know the theoretical displacement of nodes (for example, near to applied force of far away cracked edge). Do you know any references to compare my results with?
thank you
The theoretical solutions in fracture mechanics are usually based on the assumption of infinite of half-infinite bodies. So you usually cannot get the theoretical solutions far away from crack tip because of the boundary effects which are always exists in real structures. Nevertheless, the crack effect will weaken in the areas away from the tip, and it may be neglected where very far away from the tip. If you want to compare the results far away from the crack tip, an alternative approach is to compare to those from the conventional FEM. For example, you can build a conventional FE model with explicit crack along element edge, with finer mesh around crack tip, and compare the results from the conventional FEM and XFEM.
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