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

By C. Miehé, F. Welschinger, M. Hofacker. 2010

2,736 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ffc3160b8784fe444df21d9f13cdb9a2fdf2402d

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In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Numerical implementation of the coupled criterion: Matched asymptotic and full finite element approaches (2020, background): “, cohesive zone models [1, 2, 3, 4], models based on damage mechanics [5, 6] or phase-field models for fracture [7, 8, 9], the coupled criterion (CC) [10, 11] in the framework of Finite Fracture Mechanics (FFM) [12, 13, 14] proved its ability and efficiency to predict crack initiation in a broad ran”
On the choice of parameters in the phase field method for simulating crack initiation with experimental validation (2016, background): “It has been shown in [26] that given l, the criterion h ≤ l/2 (7)”
An augmented-Lagrangian method for the phase-field approach for pressurized fractures (2014, methodology): “Then, since Gc is exceeded, we have brutal crack growth as also observed by [6] and [7] in the case of pure elasticity.”
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications (2019, methodology): “The strain-history functional enforces irreversibility condition on the crack [33].”
Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, background): “However, as will be described in Section 3, the PFM is implemented within the COMSOL environment where the crack opening cannot be extracted in a straight forward manner due to smeared representation of the sharp crack shape.”
Thermodynamically consistent algorithms for a finite‐deformation phase‐field approach to fracture (2014, methodology): “This decomposition leads to the strategy of splitting the linear-elastic strain energy additively, which has been employed in [3, 5, 19] and others.”