Details
| Original language | English |
|---|---|
| Pages (from-to) | 174-192 |
| Number of pages | 19 |
| Journal | Theoretical and Applied Fracture Mechanics |
| Volume | 96 |
| Early online date | 3 May 2018 |
| Publication status | Published - Aug 2018 |
Abstract
We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy, which drives the evolution of the phase field. Then, numerical simulations of notched semi-circular bend (NSCB) tests and Brazil splitting tests are performed. Subsequently, crack propagation and coalescence in rock plates with multiple echelon flaws and twenty parallel flaws are studied. Finally, complex crack patterns are presented for a plate subjected to increasing internal pressure, the (3D) Pertersson beam and a 3D NSCB test. All results are in good agreement with previous experimental and numerical results.
Keywords
- COMSOL, Crack branching, Crack propagation, Phase field, Rock
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: Theoretical and Applied Fracture Mechanics, Vol. 96, 08.2018, p. 174-192.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Phase field modelling of crack propagation, branching and coalescence in rocks
AU - Zhou, Shuwei
AU - Zhuang, Xiaoying
AU - Zhu, Hehua
AU - Rabczuk, Timon
N1 - Funding information: The financial support provided by the Sino-German (CSC-DAAD) Postdoc Scholarship Program 2016 , the Natural Science Foundation of China ( 51474157 ), and RISE-project BESTOFRAC ( 734370 ) is gratefully acknowledged.
PY - 2018/8
Y1 - 2018/8
N2 - We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy, which drives the evolution of the phase field. Then, numerical simulations of notched semi-circular bend (NSCB) tests and Brazil splitting tests are performed. Subsequently, crack propagation and coalescence in rock plates with multiple echelon flaws and twenty parallel flaws are studied. Finally, complex crack patterns are presented for a plate subjected to increasing internal pressure, the (3D) Pertersson beam and a 3D NSCB test. All results are in good agreement with previous experimental and numerical results.
AB - We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy, which drives the evolution of the phase field. Then, numerical simulations of notched semi-circular bend (NSCB) tests and Brazil splitting tests are performed. Subsequently, crack propagation and coalescence in rock plates with multiple echelon flaws and twenty parallel flaws are studied. Finally, complex crack patterns are presented for a plate subjected to increasing internal pressure, the (3D) Pertersson beam and a 3D NSCB test. All results are in good agreement with previous experimental and numerical results.
KW - COMSOL
KW - Crack branching
KW - Crack propagation
KW - Phase field
KW - Rock
UR - http://www.scopus.com/inward/record.url?scp=85046618611&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1902.06686
DO - 10.48550/arXiv.1902.06686
M3 - Article
AN - SCOPUS:85046618611
VL - 96
SP - 174
EP - 192
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
SN - 0167-8442
ER -