A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics
By E. Bryant, WaiChing Sun. Computer Methods in Applied Mechanics and Engineering, 2018
192 citations recorded by the source corpus.
Abstract Under a pure tensile loading, cracks in brittle, isotropic, and homogeneous materials often propagate such that pure mode I kinematics are maintained at the crack tip. However, experiments performed on geo-materials, such as sedimentary rock, shale, mudstone, concrete and gypsum, often lead to the conclusion that the mode I and mode II critical fracture energies/surface energy release rates are distinctive. This distinction has great influence on the formation and propagation of wing cracks and secondary cracks from pre-existing flaws under a combination of shear and tensile or shear and compressive loadings. To capture the mixed-mode fracture propagation, a mixed-mode I/II fracture model that employs multiple critical energy release rates based on Shen and Stephansson, IJRMMS, 1993 is reformulated in a regularized phase field fracture framework. We obtain the mixed-mode driving force of the damage phase field by balancing the microforce. Meanwhile, the crack propagation direction and the corresponding kinematics modes are determined via a local fracture dissipation maximization problem. Several numerical examples that demonstrate mode II and mixed-mode crack propagation in brittle materials are presented. Possible extensions of the model capturing degradation related to shear/compressive damage, as commonly observed in sub-surface applications and triaxial compression tests, are also discussed.
Subfields: Mechanics of Materials, Ocean Engineering
View Paper: https://www.semanticscholar.org/paper/38c510ba1afa9ca07d0af6fd5360870d7726f73f
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In Mechanics of Materials
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Citations in the corpus
- Meta-modeling game for deriving theoretical-consistent, micro-structural-based traction-separation laws via deep reinforcement learning (2018, background): “…that involve spatial domain with embedded strong discontinuity, such as fracture surfaces [Rice, 1968, Park et al., 2009, Wang and Sun, 2017, Bryant and Sun, 2018], slip lines [Rabczuk and Areias, 2006, Borja and Foster, 2007], joints [Elices et al., 2002] and faults [Ohnaka and Yamashita,…”
- Double-phase-field formulation for mixed-mode fracture in rocks (2020, methodology): “The existing phase-field models for brittle mixed-mode fracture in rocks [27, 28] have commonly incorporated the difference in modes I and II fracture energies by replacing the standard crack driving force with an weighted average of modes I and II crack driving forces based on the F -criterion.”