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Locking-Free Degenerated Isoparametric Shell Element

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Abstract

An 8-noded locking-free degenerated isoparametric shell element is presented. A revised interpolation for shear strain terms was constructed in natural co-ordinate system such that all necessary modes (translation, rotation and constant curvature) are preserved, which can be used to eliminate shear locking. A revised interpolation for membrane strains was produced in the local Cartesian co-ordinate system to overcome membrane locking behavior. The new 8-noded element has the proper rank, with the requisite number of zero eigenvalues each associated with a rigid mode. The element does not exhibit membrane or shear locking for large span-thickness ratio. The element does not form element mechanisms or extra spurious zero energy modes. Therefore, it can be used for both thin and thick shells.

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Authors and Affiliations

  1. Department of Basic Courses, Naval University of Engineering, Wuhan, 430033, P R China

    Xiang-ming Zhang, An-wen Wang & Han-lin He

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  1. Xiang-ming Zhang
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  2. An-wen Wang
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  3. Han-lin He
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Zhang, Xm., Wang, Aw. & He, Hl. Locking-Free Degenerated Isoparametric Shell Element. Applied Mathematics and Mechanics 22, 609–617 (2001). https://doi.org/10.1023/A:1016308809208

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