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Concepts and Computer Implementation of the X-FEM Method for Crack Growth Modeling without Re-Meshing


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DOI: https://doi.org/10.15866/ireme.v8i5.2233

Abstract


Recently, a new method, called X-FEM. has been proposed to models without re-meshing the material and /or geometrical evaluative discontinuities (cracks, voids, inclusions, bi-materials…). The advantage of the method is that the element topology need not conform to the surfaces of the discontinuities. It has obtained so promising results that some authors have immediately foreseen the opportunities of applying X-FEM to many types of engineering problems in complex domains.  However, due to its complexity, the implementation of the X-FEM method in commercial software is still very limited. This paper covers the formulation and implementation of this recent method, and discusses various aspects of the approach. Numerical experiments show the effectiveness and robustness of the XFEM implementation in the in-house software XFr.
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Keywords


Singularity; Crack Growth; Extended Finite Elements (X-FEM); Level Set Method (LSM); Fracture Mechanics; XFR Program

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