Chapter 6

X-FEM on Continuum-Based Shell Elements

Abstract

The two-dimensional X-FEM theory model, computational formula, and numerical examples were given in Chapters 4 and 5 respectively. In this chapter, a novel theory formula and computational method for X-FEM is developed for three-dimensional (3D) continuum-based (CB) shell elements to simulate arbitrary crack growth in shells using the concept of enriched shape functions. Due to the advantages of CB shell elements, the shell thickness variation and surface connection can be addressed during deformation. The stress intensity factors of a crack in the CB shell element are calculated using the equivalent domain integral method for a 3D arbitrary nonplanar crack. The maximum energy release rate ...

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