Adaptive isogeometric analysis–based phase-field modeling of brittle electromechanical fracture in piezoceramics

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

Thomas J.R. Hughes, J. Austin Cottrell, Yuri Bazilevs · Computer Methods in Applied Mechanics and Engineering · 2005 · 6.2K citations · Full text

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Revisiting brittle fracture as an energy minimization problem

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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

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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

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