6.8. Summary

Based on the continuum-based (CB) shell element, an X-FEM shell element formula is developed in this chapter. The fracture shell theory and numerical method are also described. Currently, the fracture mechanics of plates and shells are usually studied using two theories: Kirchhoff–Love and Mindlin–Reissner plate and shell bending fracture theories. The former is suitable for thin plates and shells, while the latter is suitable for thicker plates and shells. Comparing the results, it is seen that the solutions of Reissner theory agree well with the FEM results in a small region of crack tip location, while for a large area outside of this small region, the solutions of Kirchhoff theory agree well with the FEM results. The main reason ...

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