Details
| Original language | English |
|---|---|
| Article number | 103779 |
| Journal | Theoretical and Applied Fracture Mechanics |
| Volume | 124 |
| Early online date | 21 Jan 2023 |
| Publication status | Published - Apr 2023 |
Abstract
Phase field models have become a promising tool in modelling failure processes for various engineering applications. However, their computational inefficiency has posed challenges for a wider application which is desired in engineering. While most papers present implicit phase field models, only a few studies devoted to explicit phase field models have been reported in recent years and most papers report their high computational efficiency compared to implicit phase field models. The purpose of this contribution is to present an overview of the implicit and explicit phase field models for quasi-static failure processes, detailing about their theories and implementation in the commercial software ABAQUS. The provided ABAQUS implementation programs can serve as a numerical tool for modelling engineering problems. Several numerical examples are then presented and a comparison of their computational efficiency is subsequently provided. Moreover, a mass/viscosity scaling scheme for the explicit phase field model and a non-iteration scheme for the implicit phase field model are introduced both improve their efficiency. The comparison results clearly reveal that the computational efficiency can be improved significant by using the explicit phase field model, and more attention should be paid to it.
Keywords
- ABAQUS, Explicit phase field model, Implicit phase field model, Mass scaling, Viscosity scaling
ASJC Scopus subject areas
- Materials Science(all)
- 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. 124, 103779, 04.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An overview of implicit and explicit phase field models for quasi-static failure processes, implementation and computational efficiency
AU - Hu, Xiaofei
AU - Tan, Siyuan
AU - Xia, Danli
AU - Min, Lang
AU - Xu, Huiqian
AU - Yao, Weian
AU - Sun, Zhi
AU - Zhang, Peng
AU - Quoc Bui, Tinh
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (No. 12172079).
PY - 2023/4
Y1 - 2023/4
N2 - Phase field models have become a promising tool in modelling failure processes for various engineering applications. However, their computational inefficiency has posed challenges for a wider application which is desired in engineering. While most papers present implicit phase field models, only a few studies devoted to explicit phase field models have been reported in recent years and most papers report their high computational efficiency compared to implicit phase field models. The purpose of this contribution is to present an overview of the implicit and explicit phase field models for quasi-static failure processes, detailing about their theories and implementation in the commercial software ABAQUS. The provided ABAQUS implementation programs can serve as a numerical tool for modelling engineering problems. Several numerical examples are then presented and a comparison of their computational efficiency is subsequently provided. Moreover, a mass/viscosity scaling scheme for the explicit phase field model and a non-iteration scheme for the implicit phase field model are introduced both improve their efficiency. The comparison results clearly reveal that the computational efficiency can be improved significant by using the explicit phase field model, and more attention should be paid to it.
AB - Phase field models have become a promising tool in modelling failure processes for various engineering applications. However, their computational inefficiency has posed challenges for a wider application which is desired in engineering. While most papers present implicit phase field models, only a few studies devoted to explicit phase field models have been reported in recent years and most papers report their high computational efficiency compared to implicit phase field models. The purpose of this contribution is to present an overview of the implicit and explicit phase field models for quasi-static failure processes, detailing about their theories and implementation in the commercial software ABAQUS. The provided ABAQUS implementation programs can serve as a numerical tool for modelling engineering problems. Several numerical examples are then presented and a comparison of their computational efficiency is subsequently provided. Moreover, a mass/viscosity scaling scheme for the explicit phase field model and a non-iteration scheme for the implicit phase field model are introduced both improve their efficiency. The comparison results clearly reveal that the computational efficiency can be improved significant by using the explicit phase field model, and more attention should be paid to it.
KW - ABAQUS
KW - Explicit phase field model
KW - Implicit phase field model
KW - Mass scaling
KW - Viscosity scaling
UR - http://www.scopus.com/inward/record.url?scp=85147324565&partnerID=8YFLogxK
U2 - 10.1016/j.tafmec.2023.103779
DO - 10.1016/j.tafmec.2023.103779
M3 - Article
AN - SCOPUS:85147324565
VL - 124
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
SN - 0167-8442
M1 - 103779
ER -