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

N. Nguyen-Thanh, N. Valizadeh, M. N. Nguyen, H. Nguyen-Xuan, X. Zhuang, P. Areias, Goangseup Zi, Y. Bazilevs, L. De Lorenzis, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

303 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)265-291
Number of pages27
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2015 Feb 1


  • Fracture mechanics
  • Isogeometric analysis
  • Thin shells
  • XFEM
  • XIGA

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


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