A phase-field lattice model (PFLM) for fracture problem: Theory and application in composite materials

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Qiang Yue
  • Qiao Wang
  • Wenxiang Tian
  • Timon Rabczuk
  • Wei Zhou
  • Gang Ma
  • Xiaoying Zhuang
  • Xiaolin Chang

Research Organisations

External Research Organisations

  • Wuhan University
  • Bauhaus-Universität Weimar
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Details

Original languageEnglish
Article number117432
JournalComposite structures
Volume323
Early online date9 Aug 2023
Publication statusPublished - 1 Nov 2023

Abstract

In the present work, a phase-field lattice model (PFLM) is proposed to model fracture problems. The element deletion process and oversimplified failure criterion of the classical lattice model not only lead to a strong mesh sensitivity but also limit the method's application to various materials and fracture modes. Hence, a smeared form of crack is introduced into the lattice model to deal with these problems. The model exploits discontinuous discrete methods to model the propagation of three-dimensional cracks by characterizing the crack with a phase-field variable. Moreover, by regarding the crack propagation process as a multi-field problem composed of a displacement field and a phase-field, a flexible and robust algorithm is established, in which the crack path can be obtained directly by resolving the governing equations. Numerical simulations were performed and compared with the experimental results and other numerical models. It is shown that the PFLM can capture the main features of the fracture for both brittle and quasi-brittle materials. To further demonstrate the performance of the model, a mesoscale system of cement composite generated by computed tomography scanning technology was examined. The result demonstrates that the fracture of composite materials can also be well predicted.

Keywords

    Brittle and quasi-brittle fracture, Composite materials, Lattice model, Phase-field model, Three-dimensional modelling

ASJC Scopus subject areas

Cite this

A phase-field lattice model (PFLM) for fracture problem: Theory and application in composite materials. / Yue, Qiang; Wang, Qiao; Tian, Wenxiang et al.
In: Composite structures, Vol. 323, 117432, 01.11.2023.

Research output: Contribution to journalArticleResearchpeer review

Yue, Q., Wang, Q., Tian, W., Rabczuk, T., Zhou, W., Ma, G., Zhuang, X., & Chang, X. (2023). A phase-field lattice model (PFLM) for fracture problem: Theory and application in composite materials. Composite structures, 323, Article 117432. https://doi.org/10.1016/j.compstruct.2023.117432
Yue Q, Wang Q, Tian W, Rabczuk T, Zhou W, Ma G et al. A phase-field lattice model (PFLM) for fracture problem: Theory and application in composite materials. Composite structures. 2023 Nov 1;323:117432. Epub 2023 Aug 9. doi: 10.1016/j.compstruct.2023.117432
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abstract = "In the present work, a phase-field lattice model (PFLM) is proposed to model fracture problems. The element deletion process and oversimplified failure criterion of the classical lattice model not only lead to a strong mesh sensitivity but also limit the method's application to various materials and fracture modes. Hence, a smeared form of crack is introduced into the lattice model to deal with these problems. The model exploits discontinuous discrete methods to model the propagation of three-dimensional cracks by characterizing the crack with a phase-field variable. Moreover, by regarding the crack propagation process as a multi-field problem composed of a displacement field and a phase-field, a flexible and robust algorithm is established, in which the crack path can be obtained directly by resolving the governing equations. Numerical simulations were performed and compared with the experimental results and other numerical models. It is shown that the PFLM can capture the main features of the fracture for both brittle and quasi-brittle materials. To further demonstrate the performance of the model, a mesoscale system of cement composite generated by computed tomography scanning technology was examined. The result demonstrates that the fracture of composite materials can also be well predicted.",
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T2 - Theory and application in composite materials

AU - Yue, Qiang

AU - Wang, Qiao

AU - Tian, Wenxiang

AU - Rabczuk, Timon

AU - Zhou, Wei

AU - Ma, Gang

AU - Zhuang, Xiaoying

AU - Chang, Xiaolin

N1 - Funding Information: Financial support for the project from the National Key R&D Program of China (No. 2022YFC3005505), National Natural Science Foundation of China (No. 51979207, No. U2040223) is acknowledged.

PY - 2023/11/1

Y1 - 2023/11/1

N2 - In the present work, a phase-field lattice model (PFLM) is proposed to model fracture problems. The element deletion process and oversimplified failure criterion of the classical lattice model not only lead to a strong mesh sensitivity but also limit the method's application to various materials and fracture modes. Hence, a smeared form of crack is introduced into the lattice model to deal with these problems. The model exploits discontinuous discrete methods to model the propagation of three-dimensional cracks by characterizing the crack with a phase-field variable. Moreover, by regarding the crack propagation process as a multi-field problem composed of a displacement field and a phase-field, a flexible and robust algorithm is established, in which the crack path can be obtained directly by resolving the governing equations. Numerical simulations were performed and compared with the experimental results and other numerical models. It is shown that the PFLM can capture the main features of the fracture for both brittle and quasi-brittle materials. To further demonstrate the performance of the model, a mesoscale system of cement composite generated by computed tomography scanning technology was examined. The result demonstrates that the fracture of composite materials can also be well predicted.

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