Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model

By Sanghyu Lee, Mary F. Wheeler, Thomas Wick. 2016

340 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/55549c7eef6bafc0721548ee9d03c1fa23a5c0cd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Xiaoying Zhuang
2. Shuwei Zhou
3. Timon Rabczuk
4. WaiChing Sun
5. E. Bryant
6. Thomas Wick
7. Stéphane P.A. Bordas
8. Charles E. Augarde

In Computational Mechanics

1. Xiaoying Zhuang
2. Shuwei Zhou
3. Timon Rabczuk
4. WaiChing Sun
5. E. Bryant
6. Thomas Wick
7. Stéphane P.A. Bordas
8. Ted Belytschko

In Mechanics of Materials

1. Shuwei Zhou
2. Xiaoying Zhuang
3. Timon Rabczuk
4. WaiChing Sun
5. E. Bryant
6. Thomas Wick
7. Stéphane P.A. Bordas
8. Charles E. Augarde

Citations in the corpus

• A phase-field modeling approach of fracture propagation in poroelastic media (2018, methodology): “[24] and use the phase field as an indicator function.”
• Phase-field modeling of fluid-driven dynamic cracking in porous media (2019, methodology): “[49] and define two linear indicator functions: χR and χF : χR(·, φ) := χR(x, t, φ) = 1 in ΩR(t), and χR(·, φ) = 0 in ΩF (t) (28) χF (·, φ) := χF (x, t, φ) = 1 in ΩF (t), and χF (·, φ) = 0 in ΩR(t) (29) In the transition domain, the indicator functions depend on the phase field as follows:”
• Double-phase-field formulation for mixed-mode fracture in rocks (2020, neutral): “[23–26]).”
• Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies (2018, background): “The progress in the phase-field models for quasi-static and dynamic crack problems has made PFM successfully applied in different problems, such as cohesive fractures [29], ductile fractures [30, 31], large strain problems [25], hydraulic fracturing [32], thermo-elastic problems [33, 34], electroche”
• A mixed-mode phase field fracture model in anisotropic rocks with consistent kinematics (2018, methodology): “Regarding the damage approximation, we adopt a phase field approach to represent cracks [34,15,31,35].”
• Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation (2017, methodology): “Otherwise, we would have utilized the law proposed in [7] as we already implemented in our sister code [43].”