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K.-U. Bletzinger* and M. Bischoff+

*Institute of Structural Analysis, University of Karlsruhe, Karlsruhe, Germany
+Institute of Structural Mechanics, University of Stuttgart, Stuttgart, Germany

doi:10.4203/ccp.54.1.5

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K.-U. Bletzinger, M. Bischoff, "A Unified Approach for Shear Locking Free Triangular and Rectangular Shell Finite Elements", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 43-52, 1998. doi:10.4203/ccp.54.1.5

Abstract

A new concept for the construction of locking-free finite elements for bending of shear deformable plates and shells, called DSG ('Discrete Shear Gap') method, is presented. The method is based on a pure displacement formulation and utilises only the usual displacement and rotational degrees of freedom at the nodes, without additional internal parameters, bubble modes, edge rotations or whatever. One unique rule is derived which can be applied to both triangular and rectangular elements of arbitrary polynomial order. Due to the nature of the method, the order of numerical integration can be reduced, thus the elements are actually cheaper than displacement elements with respect to computation time.

The resulting triangular elements prove to perform particularly well in comparison to existing elements. The rectangular elements have a certain relation to the Assumed Natural Strain (ANS) or MITC-elements, in the case of a bilinear interpolation they are even identical.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 54 ADVANCES IN FINITE ELEMENT PROCEDURES AND TECHNIQUES Edited by: B.H.V. Topping Paper I.5 A Unified Approach for Shear Locking Free Triangular and Rectangular Shell Finite Elements K.-U. Bletzinger* and M. Bischoff+ *Institute of Structural Analysis, University of Karlsruhe, Karlsruhe, Germany +Institute of Structural Mechanics, University of Stuttgart, Stuttgart, Germany doi:10.4203/ccp.54.1.5 purchase the full-text of this paper Full Bibliographic Reference for this paper K.-U. Bletzinger, M. Bischoff, "A Unified Approach for Shear Locking Free Triangular and Rectangular Shell Finite Elements", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 43-52, 1998. doi:10.4203/ccp.54.1.5 Abstract A new concept for the construction of locking-free finite elements for bending of shear deformable plates and shells, called DSG ('Discrete Shear Gap') method, is presented. The method is based on a pure displacement formulation and utilises only the usual displacement and rotational degrees of freedom at the nodes, without additional internal parameters, bubble modes, edge rotations or whatever. One unique rule is derived which can be applied to both triangular and rectangular elements of arbitrary polynomial order. Due to the nature of the method, the order of numerical integration can be reduced, thus the elements are actually cheaper than displacement elements with respect to computation time. The resulting triangular elements prove to perform particularly well in comparison to existing elements. The rectangular elements have a certain relation to the Assumed Natural Strain (ANS) or MITC-elements, in the case of a bilinear interpolation they are even identical. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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