Details
| Original language | English |
|---|---|
| Article number | 108234 |
| Number of pages | 1 |
| Journal | Engineering fracture mechanics |
| Volume | 262 |
| Early online date | 17 Jan 2022 |
| Publication status | Published - 1 Mar 2022 |
Abstract
This paper presents an overview of the theories and computer implementation aspects of phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches to fracture is that PFM can elegantly simulate complicated fracture processes including fracture initiation, propagation, coalescence, and branching by using only a scalar field, the phase field. In addition, fracture is a natural outcome of the simulation and obtained through the solution of an additional differential equation related to the phase field. No extra fracture criteria are needed and an explicit representation of a crack surface as well as complex track crack procedures are avoided in PFM for fracture, which in turn dramatically facilitates the implementation. The PFM is thermodynamically consistent and can be easily extended to multi-physics problem by ‘changing’ the energy functional accordingly. Besides an overview of different PFMs, we also present comparative numerical benchmark examples to show the capability of PFMs.
Keywords
- Brittle fracture, Computer implementation, Finite element method, Hydraulic fracture, Phase field
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Engineering fracture mechanics, Vol. 262, 108234, 01.03.2022.
Research output: Contribution to journal › Review article › Research › peer review
}
TY - JOUR
T1 - Phase field modeling and computer implementation
T2 - A review
AU - Zhuang, X
AU - Zhou, S
AU - Huynh, GD
AU - Rabczuk, T
N1 - Funding Information: The authors gratefully acknowledge financial support of DFG (German Research Foundation) SB-2016-ZH 459/3-1 and RISE-project BESTOFRAC ( 734370 ).
PY - 2022/3/1
Y1 - 2022/3/1
N2 - This paper presents an overview of the theories and computer implementation aspects of phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches to fracture is that PFM can elegantly simulate complicated fracture processes including fracture initiation, propagation, coalescence, and branching by using only a scalar field, the phase field. In addition, fracture is a natural outcome of the simulation and obtained through the solution of an additional differential equation related to the phase field. No extra fracture criteria are needed and an explicit representation of a crack surface as well as complex track crack procedures are avoided in PFM for fracture, which in turn dramatically facilitates the implementation. The PFM is thermodynamically consistent and can be easily extended to multi-physics problem by ‘changing’ the energy functional accordingly. Besides an overview of different PFMs, we also present comparative numerical benchmark examples to show the capability of PFMs.
AB - This paper presents an overview of the theories and computer implementation aspects of phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches to fracture is that PFM can elegantly simulate complicated fracture processes including fracture initiation, propagation, coalescence, and branching by using only a scalar field, the phase field. In addition, fracture is a natural outcome of the simulation and obtained through the solution of an additional differential equation related to the phase field. No extra fracture criteria are needed and an explicit representation of a crack surface as well as complex track crack procedures are avoided in PFM for fracture, which in turn dramatically facilitates the implementation. The PFM is thermodynamically consistent and can be easily extended to multi-physics problem by ‘changing’ the energy functional accordingly. Besides an overview of different PFMs, we also present comparative numerical benchmark examples to show the capability of PFMs.
KW - Brittle fracture
KW - Computer implementation
KW - Finite element method
KW - Hydraulic fracture
KW - Phase field
UR - http://www.scopus.com/inward/record.url?scp=85124103280&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2309.03996
DO - 10.48550/arXiv.2309.03996
M3 - Review article
VL - 262
JO - Engineering fracture mechanics
JF - Engineering fracture mechanics
SN - 0013-7944
M1 - 108234
ER -