Phase field modelling of crack propagation, branching and coalescence in rocks

Shuwei Zhou; Xiaoying Zhuang; Hehua Zhu; Timon Rabczuk

doi:10.1016/j.tafmec.2018.04.011

Phase field modelling of crack propagation, branching and coalescence in rocks

Shuwei Zhou, Xiaoying Zhuang, Hehua Zhu, Timon Rabczuk

College of Engineering

Research output: Contribution to journal › Article › peer-review

233 Citations (Scopus)

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.

Original language	English
Pages (from-to)	174-192
Number of pages	19
Journal	Theoretical and Applied Fracture Mechanics
Volume	96
DOIs	https://doi.org/10.1016/j.tafmec.2018.04.011
Publication status	Published - 2018 Aug

Keywords

COMSOL
Crack branching
Crack propagation
Phase field
Rock

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

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10.1016/j.tafmec.2018.04.011

Cite this

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title = "Phase field modelling of crack propagation, branching and coalescence in rocks",

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",

author = "Shuwei Zhou and Xiaoying Zhuang and Hehua Zhu and Timon Rabczuk",

note = "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. Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = aug,

doi = "10.1016/j.tafmec.2018.04.011",

language = "English",

volume = "96",

pages = "174--192",

journal = "Theoretical and Applied Fracture Mechanics",

issn = "0167-8442",

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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. Publisher Copyright: © 2018 Elsevier Ltd

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

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DO - 10.1016/j.tafmec.2018.04.011

M3 - Article

AN - SCOPUS:85046618611

SN - 0167-8442

VL - 96

SP - 174

EP - 192

JO - Theoretical and Applied Fracture Mechanics

JF - Theoretical and Applied Fracture Mechanics

ER -

Phase field modelling of crack propagation, branching and coalescence in rocks

Abstract

Keywords

ASJC Scopus subject areas

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