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A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits

Computer Methods in Applied Mechanics and Engineering · 2010 · Vol. 199(45-48) · pp. 2765–2778
Christian MiehéMartina HofackerFabian Welschinger
Numerical methods in engineeringComposite Material MechanicsFatigue and fracture mechanicsClassification of discontinuitiesPhase field modelsFracture mechanicsDisplacement fieldRegularization (linguistics)Field (mathematics)Robustness (evolution)Computer scienceApplied mathematicsAlgorithm
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References
Numerical experiments in revisited brittle fracture
Journal of the Mechanics and Physics of Solids · 2000 · 2,550 citations
Revisiting brittle fracture as an energy minimization problem
Journal of the Mechanics and Physics of Solids · 1998 · 3,242 citations
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
International Journal for Numerical Methods in Engineering · 2003 · 571 citations
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
International Journal for Numerical Methods in Engineering · 2010 · 2,633 citations
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