Application of s-version finite element method to phase field modeling for localized fractures

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Panpan Cheng
  • Xiaoying Zhuang
  • Hehua Zhu
  • Jacob Fish

Externe Organisationen

  • Tongji University
  • Columbia University
  • Beijing Jiaotong University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer105204
FachzeitschriftComputers and geotechnics
Jahrgang156
Frühes Online-Datum19 Jan. 2023
PublikationsstatusVeröffentlicht - Apr. 2023
Extern publiziertJa

Abstract

Since phase field fracture model is computationally demanding, its application is mostly limited to relatively simple and small-scale specimens or structural components. The main objective of this paper is to extend the application of the phase field fracture model to practical engineering structures with strong global–local properties. A computationally and operationally feasible coupling-type global–local phase field method is proposed, in which the phase field model is resolved by fine mesh on a local scale, while a far coarser mesh is adopted to discretize the global region. The numerical solution by the s-version method is formulated to couple the partly overlapping global and local regions with different finite element discretization. The accuracy and efficiency of the s-version method-based phase field fracture model are investigated through several representative numerical examples. The application of the proposed method to a large structure is demonstrated by an example, where the fire-induced spalling process taking place in a shallow-buried box culvert is resolved by the s-version method-based phase field model.

ASJC Scopus Sachgebiete

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Application of s-version finite element method to phase field modeling for localized fractures. / Cheng, Panpan; Zhuang, Xiaoying; Zhu, Hehua et al.
in: Computers and geotechnics, Jahrgang 156, 105204, 04.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Cheng P, Zhuang X, Zhu H, Fish J. Application of s-version finite element method to phase field modeling for localized fractures. Computers and geotechnics. 2023 Apr;156:105204. Epub 2023 Jan 19. doi: 10.1016/j.compgeo.2022.105204
Cheng, Panpan ; Zhuang, Xiaoying ; Zhu, Hehua et al. / Application of s-version finite element method to phase field modeling for localized fractures. in: Computers and geotechnics. 2023 ; Jahrgang 156.
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abstract = "Since phase field fracture model is computationally demanding, its application is mostly limited to relatively simple and small-scale specimens or structural components. The main objective of this paper is to extend the application of the phase field fracture model to practical engineering structures with strong global–local properties. A computationally and operationally feasible coupling-type global–local phase field method is proposed, in which the phase field model is resolved by fine mesh on a local scale, while a far coarser mesh is adopted to discretize the global region. The numerical solution by the s-version method is formulated to couple the partly overlapping global and local regions with different finite element discretization. The accuracy and efficiency of the s-version method-based phase field fracture model are investigated through several representative numerical examples. The application of the proposed method to a large structure is demonstrated by an example, where the fire-induced spalling process taking place in a shallow-buried box culvert is resolved by the s-version method-based phase field model.",
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AU - Cheng, Panpan

AU - Zhuang, Xiaoying

AU - Zhu, Hehua

AU - Fish, Jacob

N1 - Funding Information: This study is financially supported by the scholarship from China Scholarship Council (CSC) (Grant No. 201906260161) and the National Natural Science Foundation of China (with Grant No. 51478345 ).

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N2 - Since phase field fracture model is computationally demanding, its application is mostly limited to relatively simple and small-scale specimens or structural components. The main objective of this paper is to extend the application of the phase field fracture model to practical engineering structures with strong global–local properties. A computationally and operationally feasible coupling-type global–local phase field method is proposed, in which the phase field model is resolved by fine mesh on a local scale, while a far coarser mesh is adopted to discretize the global region. The numerical solution by the s-version method is formulated to couple the partly overlapping global and local regions with different finite element discretization. The accuracy and efficiency of the s-version method-based phase field fracture model are investigated through several representative numerical examples. The application of the proposed method to a large structure is demonstrated by an example, where the fire-induced spalling process taking place in a shallow-buried box culvert is resolved by the s-version method-based phase field model.

AB - Since phase field fracture model is computationally demanding, its application is mostly limited to relatively simple and small-scale specimens or structural components. The main objective of this paper is to extend the application of the phase field fracture model to practical engineering structures with strong global–local properties. A computationally and operationally feasible coupling-type global–local phase field method is proposed, in which the phase field model is resolved by fine mesh on a local scale, while a far coarser mesh is adopted to discretize the global region. The numerical solution by the s-version method is formulated to couple the partly overlapping global and local regions with different finite element discretization. The accuracy and efficiency of the s-version method-based phase field fracture model are investigated through several representative numerical examples. The application of the proposed method to a large structure is demonstrated by an example, where the fire-induced spalling process taking place in a shallow-buried box culvert is resolved by the s-version method-based phase field model.

KW - Engineering structures

KW - Global–local approach

KW - Localized fractures

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KW - S-version method

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