Modeling of damage and cracking in heterogeneous rock-like materials by phase-field method

Average stress in matrix and average elastic energy of materials with misfitting inclusions

T. Mori, Kōichi Tanaka · Acta Metallurgica · 1973 · 7.9K citations

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A finite element method for crack growth without remeshing

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Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K 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

Engineering, Computational Engineering, Materials Engineering +16