The Discontinuity‐Enriched Finite Element Method |
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Authors: | Alejandro M Aragón Angelo Simone |
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Affiliation: | 1. Faculty of Mechanical, Maritime and Materials Engineering, Delft University of Technology, 2, The Netherlands;2. Faculty of Civil Engineering and Geosciences, Delft University of Technology, 1, The Netherlands |
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Abstract: | We introduce a new methodology for modeling problems with both weak and strong discontinuities independently of the finite element discretization. At variance with the eXtended/Generalized Finite Element Method (X/GFEM), the new method, named the Discontinuity‐Enriched Finite Element Method (DE‐FEM), adds enriched degrees of freedom only to nodes created at the intersection between a discontinuity and edges of elements in the mesh. Although general, the method is demonstrated in the context of fracture mechanics, and its versatility is illustrated with a set of traction‐free and cohesive crack examples. We show that DE‐FEM recovers the same rate of convergence as the standard FEM with matching meshes, and we also compare the new approach to X/GFEM. |
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Keywords: | cohesive cracks fracture mechanics GFEM IGFEM strong discontinuities XFEM |
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