An overview of implicit and explicit phase field models for quasi-static failure processes, implementation and computational efficiency

authored by: Xiaofei Hu, Siyuan Tan, Danli Xia, Lang Min, Huiqian Xu, Weian Yao, Zhi Sun, Peng Zhang, Tinh Quoc Bui, Xiaoying Zhuang, Timon Rabczuk
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.
Organisation(s): Institute of Photonics
External Organisation(s): Hongdu Aviation Industry Group Ltd. (HAIG)
Duy Tan University
Tongji University
Bauhaus-Universität Weimar
Dalian University of Technology
Type: Article
Journal: Theoretical and Applied Fracture Mechanics
Volume: 124
ISSN: 0167-8442
Publication date: 04.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Materials Science, Condensed Matter Physics, Mechanical Engineering, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.tafmec.2023.103779 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{40c9e05cbff54f39a9b0a425ce09008f,
title = "An overview of implicit and explicit phase field models for quasi-static failure processes, implementation and computational efficiency",
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",
author = "Xiaofei Hu and Siyuan Tan and Danli Xia and Lang Min and Huiqian Xu and Weian Yao and Zhi Sun and Peng Zhang and {Quoc Bui}, Tinh and Xiaoying Zhuang and Timon Rabczuk",
note = "Funding Information: This work was supported by the National Natural Science Foundation of China (No. 12172079). ",
year = "2023",
month = apr,
doi = "10.1016/j.tafmec.2023.103779",
language = "English",
volume = "124",
journal = "Theoretical and Applied Fracture Mechanics",
issn = "0167-8442",
publisher = "Elsevier BV",
}

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