A robust algorithm for configurational‐force‐driven brittle crack propagation with R‐adaptive mesh alignment

By C. Miehé, Ercan Gürses. 2007

167 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/70f241ccb711d41c6ac156f9b60b6312f70c97fc

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In Mechanics of Materials

Citations in the corpus

Finite element modeling of quasi-brittle cracks in 2D and 3D with enhanced strain accuracy (2017, methodology): “The present results are comparable to those obtained in [41], [72] and [73].”
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits (2010, methodology): “15c visualizes the crack path of the configurational force model analyzed in Miehe & Gürses [20].”
Phase‐field modeling of ductile fracture at finite strains: A robust variational‐based numerical implementation of a gradient‐extended theory by micromorphic regularization (2017, background): “Miehe C, Gürses E.”
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations (2010, methodology): “The same boundary value problem has been studied numerically by Miehe & Guerses [25].”
Element-wise fracture algorithm based on rotation of edges (2013, background): “A non-exhaustive list is: • Full and localized rezoning and remeshing approaches [21, 30, 9, 14], variants of local displacement [46, 45, 38, 42] (or strain [49, 2]) enrichments, clique overlaps [37], edges repositioning or edge-based fracture with R-adaptivity [44]; • Element erosion [61], smeared ”
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach (2015, methodology): “Related studies have been carried out in [39] and by the same authors with a phase-field method [4, 5].”
Continuum phase field modeling of dynamic fracture: variational principles and staggered FE implementation (2012, background): “Successful computational formulations with adaptive interface elements are e.g. Xu and Needleman (1994), Camacho and Ortiz (1996), Pandolfi and Ortiz (2002), and Miehe and Gürses (2007), as well as Gürses and Miehe (2009).”
Finite strain fracture of 2D problems with injected anisotropic softening elements (2014, background): “Existing techniques are typically classified as discrete or continuum-based (including combinations of these): Total and partial remeshing approaches [25,32,10,18], versions of local displacement [47,46,41,57,44] (and strain [50,2,58]) enrichments, clique overlaps [38], edges repositioning or edge-b”
New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids (2011, methodology): “Three dimensional simulations are performed in Ortiz and Pandolfi [50] including configurational-force driven propagation criteria in Miehe and Gürses [39] or Gürses and Miehe [21].”