Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Zhiyuan Li
  • Dan Huang
  • Timon Rabczuk
  • Huilong Ren

Organisationseinheiten

Externe Organisationen

  • Hohai University
  • Bauhaus-Universität Weimar
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer104927
FachzeitschriftEuropean Journal of Mechanics, A/Solids
Jahrgang99
Frühes Online-Datum20 Jan. 2023
PublikationsstatusVeröffentlicht - Mai 2023

Abstract

In this study, a weak form of bond-associated peridynamic differential operator (WBA-PDDO) is presented for thermo-mechanical analysis of orthotropic structures. The proposed method inherits the advantage of the original peridynamic differential operator and eliminates the zero-energy mode by introducing the concept of bond-associated family. The WBA-PDDO for thermo-mechanical equations of orthotropic structures is obtained by using the variational principle. The developed model is applied to heat transfer analysis of orthotropic square plate, thermo-mechanical analysis of orthotropic square plate with a hole and orthotropic connecting rod. By comparing with the exact solutions and finite element results, the convergence and accuracy of the proposed method are demonstrated in uniform and non-uniform discretization. The presented model provides an alternative approach for thermo-mechanical analysis of orthotropic structures.

ASJC Scopus Sachgebiete

Zitieren

Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures. / Li, Zhiyuan; Huang, Dan; Rabczuk, Timon et al.
in: European Journal of Mechanics, A/Solids, Jahrgang 99, 104927, 05.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Li Z, Huang D, Rabczuk T, Ren H. Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures. European Journal of Mechanics, A/Solids. 2023 Mai;99:104927. Epub 2023 Jan 20. doi: 10.1016/j.euromechsol.2023.104927
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abstract = "In this study, a weak form of bond-associated peridynamic differential operator (WBA-PDDO) is presented for thermo-mechanical analysis of orthotropic structures. The proposed method inherits the advantage of the original peridynamic differential operator and eliminates the zero-energy mode by introducing the concept of bond-associated family. The WBA-PDDO for thermo-mechanical equations of orthotropic structures is obtained by using the variational principle. The developed model is applied to heat transfer analysis of orthotropic square plate, thermo-mechanical analysis of orthotropic square plate with a hole and orthotropic connecting rod. By comparing with the exact solutions and finite element results, the convergence and accuracy of the proposed method are demonstrated in uniform and non-uniform discretization. The presented model provides an alternative approach for thermo-mechanical analysis of orthotropic structures.",
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author = "Zhiyuan Li and Dan Huang and Timon Rabczuk and Huilong Ren",
note = "Funding Information: The authors gratefully acknowledge financial support from the National Natural Science Foundation of China [No. 12072104 , 51679077 ], the Fundamental Research Funds for the Central Universities in China [No. B210203025 ], and the China Scholarship Council [No. 202006710119 ]. ",
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AU - Li, Zhiyuan

AU - Huang, Dan

AU - Rabczuk, Timon

AU - Ren, Huilong

N1 - Funding Information: The authors gratefully acknowledge financial support from the National Natural Science Foundation of China [No. 12072104 , 51679077 ], the Fundamental Research Funds for the Central Universities in China [No. B210203025 ], and the China Scholarship Council [No. 202006710119 ].

PY - 2023/5

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KW - Orthotropic structures

KW - Peridynamic differential operator

KW - Thermo-mechanical

KW - Variational principles

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