A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach

A finite element method for crack growth without remeshing

Nicolas Mo�s, John E. Dolbow, Ted Belytschko · International Journal for Numerical Methods in Engineering · 1999 · 6.2K citations · Full text

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Revisiting brittle fracture as an energy minimization problem

Gilles A. Francfort, Jean‐Jacques Marigo · Journal of the Mechanics and Physics of Solids · 1998 · 3.4K citations

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

Christian Miehé, Martina Hofacker, Fabian Welschinger · Computer Methods in Applied Mechanics and Engineering · 2010 · 2.9K citations

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Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations

Christian Miehé, Fabian Welschinger, Martina Hofacker · International Journal for Numerical Methods in Engineering · 2010 · 2.8K citations

Engineering, Materials Engineering, Mechanical Engineering +17

Numerical experiments in revisited brittle fracture

Blaise Bourdin, Gilles A. Francfort, Jean‐Jacques Marigo · Journal of the Mechanics and Physics of Solids · 2000 · 2.7K citations

Engineering, Materials Engineering, Materials Science +14