A nonlinear geometric couple stress based strain gradient Kirchhoff–Love shell formulation for microscale thin-wall structures

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Tran Quoc Thai
  • Xiaoying Zhuang
  • Timon Rabczuk

Organisationseinheiten

Externe Organisationen

  • Tongji University
  • Ton Duc Thang University
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Details

OriginalspracheEnglisch
Aufsatznummer106272
FachzeitschriftInternational Journal of Mechanical Sciences
Jahrgang196
Frühes Online-Datum8 Jan. 2021
PublikationsstatusVeröffentlicht - 15 Apr. 2021

Abstract

We present a nonlinear Kirchhoff–Love micro-shell element based on isogeometric analysis (IGA) and couple stress theory. Higher-order NURBS functions are exploited for analyzing the strain gradient effect which automatically fulfill the higher-order continuity requirements. We express the strain gradient elastic formulation in natural curvilinear coordinates, which leads to an efficient numerical tool to examine geometric nonlinearities of thin micro-shell structures. The presented IGA formulation is verified through comparisons to analytical solution, experimental data as well as other popular benchmark problems of nonlinear geometric shells. We believe that the presented formulation is particularly suitable for analyzing two-dimensional materials at larger length scales, which are commonly studied at nanoscale.

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A nonlinear geometric couple stress based strain gradient Kirchhoff–Love shell formulation for microscale thin-wall structures. / Thai, Tran Quoc; Zhuang, Xiaoying; Rabczuk, Timon.
in: International Journal of Mechanical Sciences, Jahrgang 196, 106272, 15.04.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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abstract = "We present a nonlinear Kirchhoff–Love micro-shell element based on isogeometric analysis (IGA) and couple stress theory. Higher-order NURBS functions are exploited for analyzing the strain gradient effect which automatically fulfill the higher-order continuity requirements. We express the strain gradient elastic formulation in natural curvilinear coordinates, which leads to an efficient numerical tool to examine geometric nonlinearities of thin micro-shell structures. The presented IGA formulation is verified through comparisons to analytical solution, experimental data as well as other popular benchmark problems of nonlinear geometric shells. We believe that the presented formulation is particularly suitable for analyzing two-dimensional materials at larger length scales, which are commonly studied at nanoscale.",
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author = "Thai, {Tran Quoc} and Xiaoying Zhuang and Timon Rabczuk",
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AU - Thai, Tran Quoc

AU - Zhuang, Xiaoying

AU - Rabczuk, Timon

N1 - Funding Information: The authors Tran Quoc Thai and Xiaoying Zhuang would like to acknowledge the financial support from the Sofja Kovalevskaja Prize of the Alexander von Humboldt Foundation (Germany). The authors would like to thank the anonymous reviewers for their valuable comments that help to improve our manuscript.

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KW - Isogeometric analysis

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