X-FEM, de nouvelles frontières pour les éléments finis
Keywords:
finite elements, X-FEM, discontinuities, partition of unity, level sets method, fracture mechanics, interface modelingAbstract
In 1999, an extension of the finite element method was introduced. Later called X-FEM (“eXtended Finite Element Method”), this extension allows one to model surfaces of discontinuity (cracks, material interfaces, free surfaces, . . . ) on a mesh even if the mesh does not conform to these surfaces. This paper summarizes the achievement obtained so far with XFEM, especially regarding the coupling of X-FEM with the “level sets” method which provides an efficient representation of the surfaces and a robust computation of their evolution.
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