Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Huilong Ren
  • Xiaoying Zhuang
  • Erkan Oterkus
  • Hehua Zhu
  • Timon Rabczuk

Organisationseinheiten

Externe Organisationen

  • Bauhaus-Universität Weimar
  • Tongji University
  • University of Strathclyde
  • Ton Duc Thang University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)23-44
Seitenumfang22
FachzeitschriftEngineering with computers
Jahrgang39
Ausgabenummer1
Frühes Online-Datum15 Sept. 2021
PublikationsstatusVeröffentlicht - Feb. 2023

Abstract

The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual method based on nonlocal operator method for the derivation of nonlocal forms for elasticity, thin plate, gradient elasticity, electro-magneto-elasticity and phase-field fracture method. The nonlocal governing equations are expressed as an integral form on support and dual-support. The first example shows that the nonlocal elasticity has the same form as dual-horizon non-ordinary state-based peridynamics. The derivation is simple and general and it can convert efficiently many local physical models into their corresponding nonlocal forms. In addition, a criterion based on the instability of the nonlocal gradient is proposed for the fracture modelling in linear elasticity. Several numerical examples are presented to validate nonlocal elasticity and the nonlocal thin plate.

ASJC Scopus Sachgebiete

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Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method. / Ren, Huilong; Zhuang, Xiaoying; Oterkus, Erkan et al.
in: Engineering with computers, Jahrgang 39, Nr. 1, 02.2023, S. 23-44.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Ren H, Zhuang X, Oterkus E, Zhu H, Rabczuk T. Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method. Engineering with computers. 2023 Feb;39(1):23-44. Epub 2021 Sep 15. doi: 10.48550/arXiv.2103.08696, 10.1007/s00366-021-01502-8
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AU - Zhuang, Xiaoying

AU - Oterkus, Erkan

AU - Zhu, Hehua

AU - Rabczuk, Timon

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