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Our work on mixed-mode phase field fracture with consistent kinematics has just published in CMAME

9/25/2018

3 Comments

 
A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics

Eric Bryant & WaiChing Sun

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. [URL]

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3 Comments
Antonino Parrinello
9/25/2018 09:56:24 pm

Very interesting piece of work.
It reminds me of some of the challenges I tried to address in my thesis. There I used a transition law for the critical energy release rate based on triaxiality. Chap 6 has some very similar benchmarks.

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Antonino Parrinello
9/25/2018 09:57:36 pm

Here is the reference if interested.
https://ora.ox.ac.uk/objects/uuid:c6590f4f-f4e2-40e3-ada1-49ba35c2a594

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