A finite element method for the computational modelling of cohesive cracks

By Julia Mergheim, Ellen Kuhl, Paul Steinmann. 2005

258 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/abfd3cd5dc534eaf82c445e632ed111deddbd5df

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

On three-dimensional modelling of crack growth using partition of unity methods (2010, methodology): “Recent re-interpretations of the original XFEM might be an alternative for the incorporation into commercial software [80,127], which was first performed in the context of standard XFEM in [19].”
Computational multiscale modelling of heterogeneous material layers (2009, methodology): “When the proposed computational homogenization framework is combined with more elaborate approaches to treat discontinuous deformations, such as the partition-of-unity based X-FEM [26] or approaches based on Nitsche’s method [19], it has potential to serve as a powerful multiscale tool in the simula”
A cohesive XFEM model for simulating fatigue crack growth under mixed‐mode loading and overloading (2019, methodology): “The effective displacement jump 𝛿 is the same as given in Equation (5), which means that the ITLS method can be used for mixed-mode loading as well.”
Mesh-independent discrete numerical representations of cohesive-zone models (2006, background): “Recently, an alternative discrete numerical representation of cohesive zone models has been proposed in [ 32 ] based on work on elastic bodies containing discontinuities [33].”
Cohesive and non‐cohesive fracture by higher‐order enrichment of XFEM (2012, methodology): “However, as the local stresses are not sufficiently accurate in an FEM model, averaged stresses are used by integrating the stress components over an area containing the crack tip point [28, 32, 33].”
Analysis of fracture in thin shells by overlapping paired elements (2006, methodology): “We use a reinterpretation of the XFEM methodology which leads to a formulation similar to the Hansbo and Hansbo [9] approach to discontinuities (see also [10]).”
Towards the algorithmic treatment of 3D strong discontinuities (2006, background): “in [3] and extended to finite deformations in [4].”
Modeling three‐dimensional crack propagation—A comparison of crack path tracking strategies (2008, methodology): “For two-dimensional problems, both Belytschko’s extended finite element method and Hansbo’s method soon became popular to model concrete failure and brittle failure of composites, see [7–18, 22, 23].”