A variational approach to the phase field modeling of brittle and ductile fracture

A finite element method for crack growth without remeshing

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Optimal approximations by piecewise smooth functions and associated variational problems

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

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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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