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<p>This paper proposes a new isogeometric degenerated shell element, which uses assumed strains to alleviate locking in isogeometric Reissner–Mindlin shells. To alleviate shear locking, the assumed interpolation of transverse shear strains is implemented within the parametric coordinate system. Meanwhile, to alleviate membrane locking, the assumed interpolation of membrane strains is adopted in the Gauss integral point local coordinate system. The geometrically dependent modified Gauss integration is adopted to reduce the influence of mesh distortion on the element performance. The shell element shows excellent convergence behaviour because of anti-locking ability of the assumed strains. The modified Gauss integration shows good robustness against mesh distortion. Four examples verify that the developed element is an effective and accurate scheme for linear analysis of shell structures.</p>

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Isogeometric degenerated shell with anti-shear and anti-membrane locking using assumed strain

  • 期刊论文

  • 发表日期：

    2026年2月17日

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  • Wenjie Zuo,
  • Wei Li,
  • Jiantao Bai,
  • Tao Chen,
  • Shanbin Lu

摘要

This paper proposes a new isogeometric degenerated shell element, which uses assumed strains to alleviate locking in isogeometric Reissner–Mindlin shells. To alleviate shear locking, the assumed interpolation of transverse shear strains is implemented within the parametric coordinate system. Meanwhile, to alleviate membrane locking, the assumed interpolation of membrane strains is adopted in the Gauss integral point local coordinate system. The geometrically dependent modified Gauss integration is adopted to reduce the influence of mesh distortion on the element performance. The shell element shows excellent convergence behaviour because of anti-locking ability of the assumed strains. The modified Gauss integration shows good robustness against mesh distortion. Four examples verify that the developed element is an effective and accurate scheme for linear analysis of shell structures.