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A.M. Katili, I. Katili, "An Efficient Quadrilateral Element based on the Discrete Shear Projection Method and Free Formulation", in P. Ivanyi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventeenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 6, Paper 14.2, 2023, doi:10.4203/ccc.6.14.2

Keywords: Reissner-Mindlin, plate, quadrilateral element, discrete shear projection, free formulation, linear analysis, patch-test, shear locking.

Abstract

This paper presents the enhancement of a previously developed linear quadrilateral plate element by using incomplete quadratic functions. As in the free formulation concept, the couple bending energy between lower (linear) and higher (quadratic) modes is forced to be zero in order to satisfy the constant bending patch test. The discrete shear projection method (DSPM) is used to define the independent transverse shear strains and avoid the shear locking phenomenon. The improved quadrilateral element has four nodes and 3 degrees of freedom (DOFs) per node. It is free of shear locking, has a proper rank, and passes the bending moment patch tests. The application in static analysis exhibits excellent convergence behaviour, reliability, and precision.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 6 PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Ivanyi, J. Kruis and B.H.V. Topping Paper 14.2 An Efficient Quadrilateral Element based on the Discrete Shear Projection Method and Free Formulation A.M. Katili and I. Katili Department of Civil Engineering, University of Indonesia, Depok, Indonesia doi:10.4203/ccc.6.14.2 Full Bibliographic Reference for this paper A.M. Katili, I. Katili, "An Efficient Quadrilateral Element based on the Discrete Shear Projection Method and Free Formulation", in P. Ivanyi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventeenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 6, Paper 14.2, 2023, doi:10.4203/ccc.6.14.2 Keywords: Reissner-Mindlin, plate, quadrilateral element, discrete shear projection, free formulation, linear analysis, patch-test, shear locking. Abstract This paper presents the enhancement of a previously developed linear quadrilateral plate element by using incomplete quadratic functions. As in the free formulation concept, the couple bending energy between lower (linear) and higher (quadratic) modes is forced to be zero in order to satisfy the constant bending patch test. The discrete shear projection method (DSPM) is used to define the independent transverse shear strains and avoid the shear locking phenomenon. The improved quadrilateral element has four nodes and 3 degrees of freedom (DOFs) per node. It is free of shear locking, has a proper rank, and passes the bending moment patch tests. The application in static analysis exhibits excellent convergence behaviour, reliability, and precision. download the full-text of this paper (PDF, 10 pages, 342 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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