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Dual-horizon peridynamics-based variational damage modeling for complex dynamic fractures

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Huilong Ren
  • Xiaoying Zhuang
  • Yehui Bie
  • Timon Rabczuk

Organisationseinheiten

Externe Organisationen

  • Tongji University
  • Peking University
  • Bauhaus-Universität Weimar

Details

OriginalspracheEnglisch
Aufsatznummer104974
Seitenumfang15
FachzeitschriftTheoretical and Applied Fracture Mechanics
Jahrgang138
Frühes Online-Datum28 Apr. 2025
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 28 Apr. 2025

Abstract

Fracture simulation by cutting bonds in non-ordinary state-based peridynamics may suffer from numerical instability. To solve this problem, we develop a dual-horizon peridynamics equipped with variational damage for the dynamic brittle fracture modeling in elastic solid. Without using damage variables explicitly, the damage field is a natural outcome or a post-processing of the strain energy field. Since the bond-cutting process is removed, the numerical stability of fracture propagation is greatly enhanced. Unlike peridynamics, which tracks the damage state of each bond throughout the simulation, the variational damage model employs a scalar damage variable to represent the state of each material point. This model expresses damage as a function of the “positive” strain energy density, utilizing the spectral decomposition of the strain tensor. Such a decomposition scheme effectively prevents crack surface interpenetration when the crack closes, ensuring physically consistent fracture behavior. A flowchart outlining the numerical implementation of this approach is presented. We demonstrate the capabilities of the current method by simulating a notched plate subjected to tensile/shear boundary conditions, the Kalthoff & Winkler experiment and fragmentation simulation in two and three dimensions.

ASJC Scopus Sachgebiete

Zitieren

Dual-horizon peridynamics-based variational damage modeling for complex dynamic fractures. / Ren, Huilong; Zhuang, Xiaoying; Bie, Yehui et al.
in: Theoretical and Applied Fracture Mechanics, Jahrgang 138, 104974, 08.2025.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Ren, H., Zhuang, X., Bie, Y., Rabczuk, T., & Zhu, H. (2025). Dual-horizon peridynamics-based variational damage modeling for complex dynamic fractures. Theoretical and Applied Fracture Mechanics, 138, Artikel 104974. Vorabveröffentlichung online. https://doi.org/10.1016/j.tafmec.2025.104974
Ren H, Zhuang X, Bie Y, Rabczuk T, Zhu H. Dual-horizon peridynamics-based variational damage modeling for complex dynamic fractures. Theoretical and Applied Fracture Mechanics. 2025 Aug;138:104974. Epub 2025 Apr 28. doi: 10.1016/j.tafmec.2025.104974
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AU - Ren, Huilong

AU - Zhuang, Xiaoying

AU - Bie, Yehui

AU - Rabczuk, Timon

AU - Zhu, Hehua

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N2 - Fracture simulation by cutting bonds in non-ordinary state-based peridynamics may suffer from numerical instability. To solve this problem, we develop a dual-horizon peridynamics equipped with variational damage for the dynamic brittle fracture modeling in elastic solid. Without using damage variables explicitly, the damage field is a natural outcome or a post-processing of the strain energy field. Since the bond-cutting process is removed, the numerical stability of fracture propagation is greatly enhanced. Unlike peridynamics, which tracks the damage state of each bond throughout the simulation, the variational damage model employs a scalar damage variable to represent the state of each material point. This model expresses damage as a function of the “positive” strain energy density, utilizing the spectral decomposition of the strain tensor. Such a decomposition scheme effectively prevents crack surface interpenetration when the crack closes, ensuring physically consistent fracture behavior. A flowchart outlining the numerical implementation of this approach is presented. We demonstrate the capabilities of the current method by simulating a notched plate subjected to tensile/shear boundary conditions, the Kalthoff & Winkler experiment and fragmentation simulation in two and three dimensions.

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KW - Damage

KW - Explicit time integration

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