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http://dx.doi.org/10.12989/sem.2002.14.6.699

A new quadrilateral 5-node non-conforming membrane element with drilling DOF  

Lee, Tae-Yeol (Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology)
Choi, Chang-Koon (Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology)
Publication Information
Structural Engineering and Mechanics / v.14, no.6, 2002 , pp. 699-712 More about this Journal
Abstract
In this paper, a new quadrilateral 5-node non-conforming membrane element with drilling degrees of freedom is presented. The main advantage of these elements is the relatively small number of integration points to evaluate a stiffness matrix comparing to the existing transition membrane elements (CLM elements). Moreover, the presented elements pass the patch test by virtue of the Direct Modification Method incorporated into the element formulation. The presented 5-node elements are proved to be very efficient when used in the local mesh refinement for the in-plane structures which have stress concentrations. And some numerical studies also show the good performance of the new element developed in this study.
Keywords
membrane element; drilling degrees of freedom; irregular node; midside node;
Citations & Related Records

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1 Choi, C.K., Lee, T.Y. and Chung, K.Y. (2002), "Direct modification for non-conforming elements with drillingDOF", Int. J. Numer. Methods. Eng., 55, 1463-1476.   DOI   ScienceOn
2 Stander, N. and Wilson, E.L. (1989), "A 4-node quadrilateral membrane element with in-plane vertex rotationsand modified reduced quadrature", 6, 266-271.   DOI
3 Hughes, J.R. and Brezzi, F. (1989), "On drilling degrees of freedom", Comp. Methods Appl. Mech. Eng., 72,105-121.   DOI   ScienceOn
4 Choi, C.K. and Park, Y.M. (1992), "Transition plate bending elements for compatible mesh gradation", J. Eng.Mech. ASCE, 118(2), 462-480.   DOI
5 Choi, C.K., Chung, K.Y. and Lee, T.Y. (2001), "A direct modification method for strains due to non-conformingmodes", Struct. Eng. Mech., 11(3), 325-340.   DOI   ScienceOn
6 Choi, C.K. and Park, Y.M. (1989), "Nonconforming transition plate bending elements with variable midsidenodes", Comput. Struct., 32, 295-304.   DOI   ScienceOn
7 Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall, New Jersey.
8 Hughes, T.J.R. (1987), The Finite Element Method-Linear static and dynamic finite element analysis, Prentice-Hall, New Jersey.
9 Evans, A., Marchant, M.J., Szmelter, J. and Weatherill, N.P. (1991), "Adaptivity for compressible flowcomputations using point embedding on 2-D structured multiblock meshes", Int. J. Numer. Methods. Eng., 32,895-919.   DOI
10 Groenwold, A.A. and Stander, N. (1995), "An efficient 4-node 24 d.o.f. thick shell finite element with 5-pointquadrature", Engineering Computations, 12, 723-747.   DOI
11 Yunus, S.M., Pawlak, T.P. and Wheeler, M.J. (1990), "Application of the Zienkiewicz-Zhu error estimator forplate and shell analysis", Int. J. Numer. Methods. Eng., 29, 1281-1298.   DOI
12 Zhu, J.Z., Zienkiewicz, O.C. and Wu, J. (1991), "A new approach to the development of automatic quadrilateralmesh generation", Int. J. Numer. Methods. Eng., 32, 849-866.   DOI
13 Timoshenko, S. and Goodier, J.N. (1951), Theory of Elasticity, McGraw-Hill, New York.
14 Wilson, E.L. and Ibrahimbegovic, A. (1990), "Use of incompatible displacement modes for the calculation ofelement stiffnesses or stresses", Finite Elements in Analysis and Design, 31, 229-241.
15 Gupta, A.K. (1978), "A finite element for transition from a fine to a coarse grid", Int. J. Numer. Methods. Eng.,12, 35-45.   DOI   ScienceOn
16 Bergan, P.G. and Felippa, C.A. (1985), "A triangular membrane element with rotational degrees of freedom",Comp. Meth. Appl. Mech. Eng., 50, 25-69.   DOI   ScienceOn
17 Choi, C.K. and Lee. W.H. (1995), "Transition membrane elements with drilling freedom for local meshrefinements", Struct. Eng. Mech., 3(1), 75-89.   DOI   ScienceOn
18 Choi, C.K. and Park, Y.M. (1997), "Conforming and nonconforming transition plate bending elements for anadaptive h-refinement", Thin Wall. Struct., 28, 1-20.   DOI   ScienceOn
19 Zienkiewicz, O.C., Taylor, R.L. and Too, J.M. (1971), "Reduced integration technique in general analysis ofplates and shells", Int. J. Numer. Methods. Eng., 3, 275-290.   DOI