A phase-field formulation for dynamic cohesive fracture
By R. Geelen, Yingjie Liu, Tianchen Hu, Michael R. Tupek, John Dolbow. Computer Methods in Applied Mechanics and Engineering, 2018
241 citations recorded by the source corpus.
Abstract We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions. Two categories of degradation functions are examined, and a process to derive a given degradation function based on a local stress–strain response in the cohesive zone is presented. The resulting model is characterized by a linear elastic regime prior to the onset of damage, and controlled strain-softening thereafter. The governing equations are derived according to macro- and microforce balance theories, naturally accounting for the irreversible nature of the fracture process by introducing suitable constraints for the kinetics of the underlying microstructural changes. The model is complemented by an efficient staggered solution scheme based on an augmented Lagrangian method. Numerical examples demonstrate that the proposed model is a robust and effective method for simulating cohesive crack propagation, with particular emphasis on dynamic fracture.
Subfields: Computational Mechanics, Mechanical Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3a2692f1e053b1f52f2dc81ae187244c9a7b4853
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In Computational Mechanics
In Mechanical Engineering
In Mechanics of Materials
Citations in the corpus
- Double-phase-field formulation for mixed-mode fracture in rocks (2020, background): “[38] and Fei and Choo [39] for deriving cohesive and frictional phase-field fracture models, respectively—to double-phase-field modeling of mixed-mode fracture.”