References
- Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall, New Jersey.
- 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. https://doi.org/10.1016/0045-7825(85)90113-6
- 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. https://doi.org/10.12989/sem.2001.11.3.325
- 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. https://doi.org/10.1002/nme.550
- Choi, C.K. and Lee. W.H. (1995), "Transition membrane elements with drilling freedom for local meshrefinements", Struct. Eng. Mech., 3(1), 75-89. https://doi.org/10.12989/sem.1995.3.1.075
- Choi, C.K. and Park, Y.M. (1989), "Nonconforming transition plate bending elements with variable midsidenodes", Comput. Struct., 32, 295-304. https://doi.org/10.1016/0045-7949(89)90041-2
- Choi, C.K. and Park, Y.M. (1992), "Transition plate bending elements for compatible mesh gradation", J. Eng.Mech. ASCE, 118(2), 462-480. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:3(462)
- 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. https://doi.org/10.1016/S0263-8231(97)00007-4
- 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. https://doi.org/10.1002/nme.1620320413
- 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. https://doi.org/10.1108/02644409510104686
- Gupta, A.K. (1978), "A finite element for transition from a fine to a coarse grid", Int. J. Numer. Methods. Eng.,12, 35-45. https://doi.org/10.1002/nme.1620120104
- Hughes, T.J.R. (1987), The Finite Element Method-Linear static and dynamic finite element analysis, Prentice-Hall, New Jersey.
- Hughes, J.R. and Brezzi, F. (1989), "On drilling degrees of freedom", Comp. Methods Appl. Mech. Eng., 72,105-121. https://doi.org/10.1016/0045-7825(89)90124-2
- Stander, N. and Wilson, E.L. (1989), "A 4-node quadrilateral membrane element with in-plane vertex rotationsand modified reduced quadrature", 6, 266-271. https://doi.org/10.1108/eb023781
- Timoshenko, S. and Goodier, J.N. (1951), Theory of Elasticity, McGraw-Hill, New York.
- 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.
- 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. https://doi.org/10.1002/nme.1620290612
- 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. https://doi.org/10.1002/nme.1620320411
- 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. https://doi.org/10.1002/nme.1620030211
Cited by
- Variable-node non-conforming membrane elements vol.16, pp.4, 2003, https://doi.org/10.12989/sem.2003.16.4.479
- Efficient remedy for membrane locking of 4-node flat shell elements by non-conforming modes vol.192, pp.16-18, 2003, https://doi.org/10.1016/S0045-7825(03)00203-2