An extended isogeometric thin shell analysis based on Kirchhoff-Love theory

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Nhon Nguyen-Thanh
  • N. Valizadeh
  • M. N. Nguyen
  • H. Nguyen-Xuan
  • Xiaoying Zhuang
  • P. Areias
  • G. Zi
  • Y. Bazilevs
  • L. De Lorenzis
  • Timon Rabczuk

Externe Organisationen

  • Technische Universität Braunschweig
  • Bauhaus-Universität Weimar
  • Ruhr-Universität Bochum
  • Sejong University
  • Tongji University
  • Universidade de Evora
  • Korea University
  • University of California (UCLA)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)265-291
Seitenumfang27
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang284
PublikationsstatusVeröffentlicht - 19 Sept. 2014
Extern publiziertJa

Abstract

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.

ASJC Scopus Sachgebiete

Zitieren

An extended isogeometric thin shell analysis based on Kirchhoff-Love theory. / Nguyen-Thanh, Nhon; Valizadeh, N.; Nguyen, M. N. et al.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 284, 19.09.2014, S. 265-291.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Nguyen-Thanh, N, Valizadeh, N, Nguyen, MN, Nguyen-Xuan, H, Zhuang, X, Areias, P, Zi, G, Bazilevs, Y, De Lorenzis, L & Rabczuk, T 2014, 'An extended isogeometric thin shell analysis based on Kirchhoff-Love theory', Computer Methods in Applied Mechanics and Engineering, Jg. 284, S. 265-291. https://doi.org/10.1016/j.cma.2014.08.025
Nguyen-Thanh, N., Valizadeh, N., Nguyen, M. N., Nguyen-Xuan, H., Zhuang, X., Areias, P., Zi, G., Bazilevs, Y., De Lorenzis, L., & Rabczuk, T. (2014). An extended isogeometric thin shell analysis based on Kirchhoff-Love theory. Computer Methods in Applied Mechanics and Engineering, 284, 265-291. https://doi.org/10.1016/j.cma.2014.08.025
Nguyen-Thanh N, Valizadeh N, Nguyen MN, Nguyen-Xuan H, Zhuang X, Areias P et al. An extended isogeometric thin shell analysis based on Kirchhoff-Love theory. Computer Methods in Applied Mechanics and Engineering. 2014 Sep 19;284:265-291. doi: 10.1016/j.cma.2014.08.025
Nguyen-Thanh, Nhon ; Valizadeh, N. ; Nguyen, M. N. et al. / An extended isogeometric thin shell analysis based on Kirchhoff-Love theory. in: Computer Methods in Applied Mechanics and Engineering. 2014 ; Jahrgang 284. S. 265-291.
Download
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abstract = "An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.",
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note = "Funding information: Nhon Nguyen-Thanh and Laura De Lorenzis would like to acknowledge the financial support from the European Research Council Starting Researcher Grant “INTERFACES” , Grant agreement No. 279439 . Xiaoying Zhuang gratefully acknowledges the support of NSFC ( 41130751 ), National Basic Research Program of China (973 Program: 2011CB013800 ), and Shanghai Pujiang Program ( 12PJ1409100 ).",
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T1 - An extended isogeometric thin shell analysis based on Kirchhoff-Love theory

AU - Nguyen-Thanh, Nhon

AU - Valizadeh, N.

AU - Nguyen, M. N.

AU - Nguyen-Xuan, H.

AU - Zhuang, Xiaoying

AU - Areias, P.

AU - Zi, G.

AU - Bazilevs, Y.

AU - De Lorenzis, L.

AU - Rabczuk, Timon

N1 - Funding information: Nhon Nguyen-Thanh and Laura De Lorenzis would like to acknowledge the financial support from the European Research Council Starting Researcher Grant “INTERFACES” , Grant agreement No. 279439 . Xiaoying Zhuang gratefully acknowledges the support of NSFC ( 41130751 ), National Basic Research Program of China (973 Program: 2011CB013800 ), and Shanghai Pujiang Program ( 12PJ1409100 ).

PY - 2014/9/19

Y1 - 2014/9/19

N2 - An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.

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KW - Fracture mechanics

KW - Isogeometric analysis

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KW - Thin shells

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