Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (5): 609-617.

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LOCKING-FREE DEGENERATED ISOPARAMETRIC SHELL ELEMENT

章向明, 王安稳, 何汉林   

  1. Department of Basic Courses, Naval University of Engineering, Wuhan 430033, P. R. China
  • 收稿日期:1998-10-26 修回日期:2000-08-18 出版日期:2001-05-18 发布日期:2001-05-18

LOCKING-FREE DEGENERATED ISOPARAMETRIC SHELL ELEMENT

ZHANG Xiang-ming, WANG An-wen, HE Han-lin   

  1. Department of Basic Courses, Naval University of Engineering, Wuhan 430033, P. R. China
  • Received:1998-10-26 Revised:2000-08-18 Online:2001-05-18 Published:2001-05-18

摘要: 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.

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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