Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency

By F. Zhou, Jean-François Molinari. 2004

274 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a16a37da07c9cb6162c72258cea962bfb383b055

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure (2015, unknown): “…of XFEM for 3D fracture problems can be found e.g. in [44,23,55,29] and in [28] in a multiscale framework; (iv) cohesive elements (see e.g. [57,15,58]) can deal with multiple crack fronts and crack nucleation, but imply the cracks to follow the elements, and suﬀer from convergence issues with…”
Studies of dynamic crack propagation and crack branching with peridynamics (2010, methodology): “To reduce mesh dependency when the grids are refined special methodologies have to be used (Zhou and Molinari 2004).”
Cracking particles: a simplified meshfree method for arbitrary evolving cracks (2004, background): “Experimental data is available, see References [53, 54] or Reference [55], but for different dimensions.”
A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography (2016, unknown): “The cohesive laws have been embedded into finite element analysis in Needleman [25] and Tvergaard and Hutchinson [38] or have been modeled by cohesive finite elements like in Camacho and Ortiz [8], Xu and Needleman [42], and Ortiz and Pandolfi [28], or in a dynamic context by Zhou and Molinari in [4”
Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, methodology): “Typical discrete approaches exploit remeshing techniques as in [5–8], extended finite element method (XFEM) [9, 10], phantom-node method [11–13], cohesive element method [14, 15] or element-erosion method [16, 17].”
2D and 3D Abaqus implementation of a robust staggered phase-field solution for modeling brittle fracture (2017, methodology): “Using discrete methods, such as node splitting [5], cohesive surfaces [6], hybrid discrete and finite element methods [7], the crack can only propagate between elements, therefore its path is strongly mesh dependent.”
Cracking node method for dynamic fracture with finite elements (2009, unknown): “The overall fragmentation patterns are similar to that reported by Rabczuk and Belytschko [39] and Zhou and Molinari [ 31 ].”
Grain-Based Discrete Element Method (GB-DEM) Modelling of Multi-scale Fracturing in Rocks Under Dynamic Loading (2018, background): “With a focus on the realistic rupture diffusing from the initial defect existed, cohesive zone models (Zhou and Molinari 2004; Molinari et al.”
Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies (2018, background): “Another common option to model cracks is the so-called cohesive elements [15–17] that allow displacement jumps on element boundaries and cracks are therefore restricted to penetrate along the corresponding element edges.”
The influence of adhesive constitutive parameters in cohesive zone finite element models of adhesively bonded joints (2009, background): “Continuous cohesive zone elements have been found to be mesh sensitive (in some circumstances), to suffer from convergence difficulty during the softening portion of the cohesive law, and to have sensitivity to aspect ratio (Albouyso et al., 1999; de Borst, 2001, 2003; Zhou and Molinari, 2004).”
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities (2009, methodology): “Numerical simulations of the problem have been reported in Falk et al. (2001), Klein et al. (2001), Belytschko et al. (2003), Zhou and Molinari (2004) , Zhou et al. (2005), Huespe et al. (2006),Songetal.(2006),Duarteetal.(2007),Karedla and Reddy (2007), Remmers et al. (2008), Zhang et al. (2007),Zi”