Energy-based modeling of cohesive and cohesionless cracks via X-FEM

By Günther Meschke, P. Dumstorff. 2007

205 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3de7a97d8d4802cf224c00dce888dcb9a2f72020

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

The extended/generalized finite element method: An overview of the method and its applications (2010, background): “Meschke and Dumstorff [122] use similar enrichment functions as given in (30) but with r instead of √ r. Recent works on the XFEM for cohesive cracks are e.g. found by Comi and Mariani [53], Xiao et al. [201], Unger et al. [186], and Asferg et al. [10].”
An extended finite element method with analytical enrichment for cohesive crack modeling (2009, methodology): “41 and a softening response that is almost ‘graphically identical’ to that of [46].”
Cohesive and non‐cohesive fracture by higher‐order enrichment of XFEM (2012, methodology): “A similar result is obtained in [9] by using a global energy-based method for the crack growth direction.”
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].”
On three-dimensional modelling of crack growth using partition of unity methods (2010, background): “[24], Francfort and Marigo [56] and a different one recently in a two-dimensional XFEM context by Dummerstorf and Meschke [48] and Meschke and Dummerstorf [81].”
Crack propagation criteria in the framework of X‐FEM‐based structural analyses (2007, unknown): “A detailed investigation of the influence of the material parameter b on the calculated crack path is provided in [24].”
Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy (2017, methodology): “Models developed with this approach include, but are not limited to, cohesive interface elements with or without remeshing [15-22], elements with embedded strong discontinuities [23-28], extended finite elements methods [29-34], and meshless and particle methods [35-39].”
Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations (2015, methodology): “The prescribed crack path was obtained by means of an energy-based crack-tracking strategy in the framework of the XFEM [44].”
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments (2009, background): “Remarkable results have been obtained coupling the discrete crack approach with cohesive force models (Xu and Needleman, 1994; Camacho and Ortiz, 1996; Ortiz and Pandolfi, 1999; Moës and Belytschko, 2002; Meschke and Dumstorff, 2007; Remmers et al., 2008), and the smeared crack approach with non-loc”
Damage growth modeling using the Thick Level Set (TLS) approach: Efficient discretization for quasi-static loadings (2012, result): “Several studies previously used this benchmark, as the study of cohesive and cohesionless cracks models [21], the comparison of crack path tracking strategies [12], the development of X-FEM-based models for cohesive cracks [38] or the study of crack models comparison using adaptive grids [7].”