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An efficient adaptive length scale insensitive phase-field model for three-dimensional fracture of solids using trilinear multi-node elements

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Qiang Yue
  • Qiao Wang
  • Wei Zhou
  • Timon Rabczuk
  • Xiaoying Zhuang

Organisationseinheiten

Externe Organisationen

  • Wuhan University
  • Bauhaus-Universität Weimar
  • China Renewable Energy Engineering Institute (CREEI)
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OriginalspracheEnglisch
Aufsatznummer108351
FachzeitschriftInternational Journal of Mechanical Sciences
Jahrgang253
Frühes Online-Datum15 Apr. 2023
PublikationsstatusVeröffentlicht - 1 Sept. 2023

Abstract

As a diffused fracture theory, phase-field models can seamlessly simulate complex crack patterns such as extending, branching, and merging. Despite the success of phase-field models, there are two issues in previous methods of three-dimensional (3-D) fracture. Firstly, the nonlinear governing equations lead to the huge computational costs, which hinder the application of phase-field models in 3-D problems. Secondly, these models, which are mostly developed based on a simple quadratic degradation function, provide numerical solutions that are sensitive to a length scale. Hence, this work addresses an efficient adaptive phase-field model with the aid of trilinear multi-node elements. The order of the elements remains constant with the increase of the number of nodes. As the mesh size and length scale significantly influence the numerical precision, a robust adaptive criterion is established in which the element refinement is controlled by both internal length scale and phase-field. According to the criterion, an expected mesh density in the failure domain can be obtained even for nonuniform initial mesh. Besides, being able to extend the phase-field regularized cohesive zone model, the adaptive model provides length scale insensitive responses for both crack path and peak load. The failure of brittle and quasi-brittle materials in three-dimensional conditions, including simple and mixed-mode fracture, can be simulated by the proposed model. Several benchmark examples are analyzed to show the efficiency and accuracy of the trilinear element-based adaptive phase-field model (TAPFM), and the results are compared with the standard phase-field model as well as experimental data.

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An efficient adaptive length scale insensitive phase-field model for three-dimensional fracture of solids using trilinear multi-node elements. / Yue, Qiang; Wang, Qiao; Zhou, Wei et al.
in: International Journal of Mechanical Sciences, Jahrgang 253, 108351, 01.09.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Yue Q, Wang Q, Zhou W, Rabczuk T, Zhuang X, Liu B et al. An efficient adaptive length scale insensitive phase-field model for three-dimensional fracture of solids using trilinear multi-node elements. International Journal of Mechanical Sciences. 2023 Sep 1;253:108351. Epub 2023 Apr 15. doi: 10.1016/j.ijmecsci.2023.108351
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title = "An efficient adaptive length scale insensitive phase-field model for three-dimensional fracture of solids using trilinear multi-node elements",
abstract = "As a diffused fracture theory, phase-field models can seamlessly simulate complex crack patterns such as extending, branching, and merging. Despite the success of phase-field models, there are two issues in previous methods of three-dimensional (3-D) fracture. Firstly, the nonlinear governing equations lead to the huge computational costs, which hinder the application of phase-field models in 3-D problems. Secondly, these models, which are mostly developed based on a simple quadratic degradation function, provide numerical solutions that are sensitive to a length scale. Hence, this work addresses an efficient adaptive phase-field model with the aid of trilinear multi-node elements. The order of the elements remains constant with the increase of the number of nodes. As the mesh size and length scale significantly influence the numerical precision, a robust adaptive criterion is established in which the element refinement is controlled by both internal length scale and phase-field. According to the criterion, an expected mesh density in the failure domain can be obtained even for nonuniform initial mesh. Besides, being able to extend the phase-field regularized cohesive zone model, the adaptive model provides length scale insensitive responses for both crack path and peak load. The failure of brittle and quasi-brittle materials in three-dimensional conditions, including simple and mixed-mode fracture, can be simulated by the proposed model. Several benchmark examples are analyzed to show the efficiency and accuracy of the trilinear element-based adaptive phase-field model (TAPFM), and the results are compared with the standard phase-field model as well as experimental data.",
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author = "Qiang Yue and Qiao Wang and Wei Zhou and Timon Rabczuk and Xiaoying Zhuang and Biao Liu and Xiaolin Chang",
note = "Funding Information: Financial support for the project from the National Key R&D Program of China (No. 2022YFC3005504 ) and National Natural Science Foundation of China (No. 51979207 , No. U2040223 ) is acknowledged. ",
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T1 - An efficient adaptive length scale insensitive phase-field model for three-dimensional fracture of solids using trilinear multi-node elements

AU - Yue, Qiang

AU - Wang, Qiao

AU - Zhou, Wei

AU - Rabczuk, Timon

AU - Zhuang, Xiaoying

AU - Liu, Biao

AU - Chang, Xiaolin

N1 - Funding Information: Financial support for the project from the National Key R&D Program of China (No. 2022YFC3005504 ) and National Natural Science Foundation of China (No. 51979207 , No. U2040223 ) is acknowledged.

PY - 2023/9/1

Y1 - 2023/9/1

N2 - As a diffused fracture theory, phase-field models can seamlessly simulate complex crack patterns such as extending, branching, and merging. Despite the success of phase-field models, there are two issues in previous methods of three-dimensional (3-D) fracture. Firstly, the nonlinear governing equations lead to the huge computational costs, which hinder the application of phase-field models in 3-D problems. Secondly, these models, which are mostly developed based on a simple quadratic degradation function, provide numerical solutions that are sensitive to a length scale. Hence, this work addresses an efficient adaptive phase-field model with the aid of trilinear multi-node elements. The order of the elements remains constant with the increase of the number of nodes. As the mesh size and length scale significantly influence the numerical precision, a robust adaptive criterion is established in which the element refinement is controlled by both internal length scale and phase-field. According to the criterion, an expected mesh density in the failure domain can be obtained even for nonuniform initial mesh. Besides, being able to extend the phase-field regularized cohesive zone model, the adaptive model provides length scale insensitive responses for both crack path and peak load. The failure of brittle and quasi-brittle materials in three-dimensional conditions, including simple and mixed-mode fracture, can be simulated by the proposed model. Several benchmark examples are analyzed to show the efficiency and accuracy of the trilinear element-based adaptive phase-field model (TAPFM), and the results are compared with the standard phase-field model as well as experimental data.

AB - As a diffused fracture theory, phase-field models can seamlessly simulate complex crack patterns such as extending, branching, and merging. Despite the success of phase-field models, there are two issues in previous methods of three-dimensional (3-D) fracture. Firstly, the nonlinear governing equations lead to the huge computational costs, which hinder the application of phase-field models in 3-D problems. Secondly, these models, which are mostly developed based on a simple quadratic degradation function, provide numerical solutions that are sensitive to a length scale. Hence, this work addresses an efficient adaptive phase-field model with the aid of trilinear multi-node elements. The order of the elements remains constant with the increase of the number of nodes. As the mesh size and length scale significantly influence the numerical precision, a robust adaptive criterion is established in which the element refinement is controlled by both internal length scale and phase-field. According to the criterion, an expected mesh density in the failure domain can be obtained even for nonuniform initial mesh. Besides, being able to extend the phase-field regularized cohesive zone model, the adaptive model provides length scale insensitive responses for both crack path and peak load. The failure of brittle and quasi-brittle materials in three-dimensional conditions, including simple and mixed-mode fracture, can be simulated by the proposed model. Several benchmark examples are analyzed to show the efficiency and accuracy of the trilinear element-based adaptive phase-field model (TAPFM), and the results are compared with the standard phase-field model as well as experimental data.

KW - Adaptive strategy

KW - Fracture

KW - Phase-field model

KW - Three-dimensional modelling

KW - Trilinear multi-node elements

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JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

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ER -