References
- Allman, D.J. (1984), "A compatible triangular element including vertex rotations for plane elasticity problems", Comp. Struct., 19(1-8).
- Allman, D.J. (1988), "A quadrilateral finite element including vertex rotations for plane elasticity problem", Int. J. Numer. Methods Eng., 26, 717-739. https://doi.org/10.1002/nme.1620260314
- Amara, M.and Thomas, J.M. (1979), "Equilibrium finite element for the linear elastic problem", Numer. Math., 33, 367-383. https://doi.org/10.1007/BF01399320
- Aminpour, M.A. (1992), "An assumed-stress Hybrid 4-node shell element with drilling degress of freedom", Int. J. Numer. Methods Eng., 33, 19-38. https://doi.org/10.1002/nme.1620330103
- Atluri, S.N. (1980), "On some new general and complementary energy principles for the rate problems of finite strain, classical elastoplastity", J. Struct. Mech., 8, 61-92. https://doi.org/10.1080/03601218008907353
- Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall, New Jersey.
- Bergan, P.G.and Fellipa, C.A. (1985), "A triangular membrane element with rotational degress of freedom", Comp. Methods Appl. Mech., 50, 25-60. https://doi.org/10.1016/0045-7825(85)90113-6
- Choi, C.K. and Park, Y.M. (1989), "Nonconforming transition plate bending elements with variable mid-side nodes", Computers and Structures, An International Journal, 32(2).
- Choi, C.K. and Park, Y.M., Seo, J.W. and Lee, W.H. (1989), "Transition elements in plate/shell problems", Proceedings of the Fourth Internal Conference and Exhibition on Civil and Structural Engineering Computing (CIVIL-COMP 89), London, England, Sept. 19-24.
- Choi, C.K. and Park, Y.M. (1992), "Transition plate bending elements for compatible mesh gradation", J. Eng. Mech. ASCE, 118(2).
- Choi, C.K., Kim, S.H. and Lee, W.H. (1992), "Non-conforming plate shell elements" proceedings of the International Conference on Education, Practice and Promotion of Computational Methods in Engineering using Small Computers, Dalian, China, 30 July-2 August.
- Choi, C.K. and Kim, S.H. (1992), "Improvement of quadratic finite element for Mindlin plate bending", Int. J. Num. Meth. Eng., 34(1).
- Choi, C.K. and Lee, N.H. (1993), "Three dimensional transition solid elements for adaptive mesh gradation", Structural Engineering and Mechanics, 1(1)
- Choi, C.K. and Paik, J.G. (1994)," An efficient four node degenerated shell element based on the assumed covariant strain", Structural Engineering and Mechanics, 2(1).
- Cook, R.D. (1986), "On the Allman triangle and a related quadrilateral element", Comput. Struct., 22, 1065-1067. https://doi.org/10.1016/0045-7949(86)90167-7
- Cook, R.D. (1987), "A plane hybrid element with rotational D.O.E and adjustable stiffness", Int. J. Numer. Methods Eng., 24, 1499-1508. https://doi.org/10.1002/nme.1620240807
- Cook R.D. (1974)," Improved two-dimensional finte element", J. Struct. Div. ASCE, 100, 1851-1865.
- de Veubeke, F.B. (1972)," A new variational principle for finite elastic displacements", Int. J. Eng. Sci., 10, 745-763. https://doi.org/10.1016/0020-7225(72)90079-1
- Evans, A., Marchant, M.J., Szmelter, J. and Weatherill, N.P. (1991), "Adaptivity for compressible flow computations using point embedding on 2-D structured multiblock meshes", Int. J. Numer. Methods. Eng., 32, 895-919. https://doi.org/10.1002/nme.1620320413
- Gupta, A.K. (1978), "A finite element for transition from a fine to a coarse grid," Int. J. Num. Meth. Engng., 12, 35-45. https://doi.org/10.1002/nme.1620120104
- Herrmann, L.R.(1983), "Mixed finite elements for couple-stress analysis", Hybrid and Mixed F.E.M., Ed. by S.N. Atluri, R.H. Gallagher and O.C. Zienkiewicz, Wiley, New York.
- Hughes, T.J.R. (1987), The Finite Element Method-Linear static and dynamic finite element analysis, Prentice-Hall, New Jersey.
- Hughes, T.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
- Ibrahimbegovic, A., Taylor, R.L. and Wilson, E.L. (1990), "A robust quadrilateral membrane finite element with drilling degrees of freedom", Int. J. Numer. Methods Eng., 30, 445-457. https://doi.org/10.1002/nme.1620300305
- Ibrahimbegovic, A. (1990), "A novel membrane finite element with an enhanced displacement interpolation", Finite Elements in Analysis and Design, 7, 167-179. https://doi.org/10.1016/0168-874X(90)90008-3
- Iura, M. and Atluri, S.N. (1992), "Formulation of a membrane finite element with drilling degrees of freedom", Comput. Mech., 9, 417-428. https://doi.org/10.1007/BF00364007
- Lee, S.C. and Yoo, C.H. (1988), "A novel shell element including in-plane torque effect", Comput. Struct., 28, 505-522. https://doi.org/10.1016/0045-7949(88)90024-7
- MacNeal, R.H.and Harder, R.L. (1988), "A refined four-noded membrane element with rotational degrees of freedom", Comput. Struct., 28,75-84. https://doi.org/10.1016/0045-7949(88)90094-6
- Naghdi, P.M. (1964), "On a variational theorem in elasticity and its application to shell theory", J. Appl. Mech., 31, 647-653. https://doi.org/10.1115/1.3629726
- Reissner, E. (1965), "A note on variational principles in elasticity", Int. J. Solids Struct., 1, 93-95. https://doi.org/10.1016/0020-7683(65)90018-1
- Timoshenko, S. and Goodier, J.N. (1951), Theory of Elasticity, McGraw-Hill, New York.
- Wilson, E.L. (1974), "The static condensation algorithm", Int. J. Numer. Methods Eng., 8, 199-203.
- Yunus, S.M. (1988), "A study of different hybrid elements with and without rotational D.O.F. for plane stress/plane strain problem", Comput. Struct., 30, 1127-1133. https://doi.org/10.1016/0045-7949(88)90155-1
- Yunus, S.M., Saigal, S. and Cook, R.D. (1989), "On improved hybrid finite elements with rotational degrees of freedom", Int. J. Numer. Methods Eng., 28, 785-800. https://doi.org/10.1002/nme.1620280405
- Yunus, S.M., Pawlak, T.P. and Wheeler, M.J. (1990), "Application of the Zienkiewicz-Zhuerror estimator for plate and shell analysis", Int. J. Numer. Methods Eng., 29, 1281-1298. https://doi.org/10.1002/nme.1620290612
- Zienkiewicz, O.C. and Taylor, R.L. (1989), The Finite Element Method: Basic formulation and Linear Problems, I, McGraw-Hill, London.
- Zhu, J.Z., Zienkiewicz, O.C. and Wu, J. (1991), "A new approach to the development of automatic quadrilateral mesh generation", Int. J. Numer. Methods Eng., 32, 849-866. https://doi.org/10.1002/nme.1620320411
Cited by
- Nonconforming Variable-Node Axisymmetric Solid Element vol.130, pp.5, 2004, https://doi.org/10.1061/(ASCE)0733-9399(2004)130:5(578)
- A refined 5-node plate bending element based on Reissner-Mindlin theory vol.23, pp.5, 2006, https://doi.org/10.1002/cnm.914
- Mixed formulated 13-node hexahedral elements with rotational degrees of freedom: MR-H13 elements vol.11, pp.1, 2001, https://doi.org/10.12989/sem.2001.11.1.105
- Finite element techniques for wind engineering vol.81, pp.1-3, 1999, https://doi.org/10.1016/S0167-6105(99)00010-0
- Conforming and nonconforming transition plate bending elements for an adaptive h-refinement vol.28, pp.1, 1997, https://doi.org/10.1016/S0263-8231(97)00007-4
- Two-dimensional nonconforming finite elements: A state-of-the-art vol.6, pp.1, 1998, https://doi.org/10.12989/sem.1998.6.1.041
- A new quadrilateral 5-node non-conforming membrane element with drilling DOF vol.14, pp.6, 2002, https://doi.org/10.12989/sem.2002.14.6.699
- Direct modification for non-conforming elements with drilling DOF vol.55, pp.12, 2002, https://doi.org/10.1002/nme.550
- Versatile Variable-Node Flat-Shell Element vol.122, pp.5, 1996, https://doi.org/10.1061/(ASCE)0733-9399(1996)122:5(432)
- Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995) vol.14, pp.4, 1997, https://doi.org/10.1108/02644409710178494
- Variable-node non-conforming membrane elements vol.16, pp.4, 2003, https://doi.org/10.12989/sem.2003.16.4.479
- Variable-node axisymmetric solid element and its application to adaptive mesh refinement vol.11, pp.4, 2001, https://doi.org/10.12989/sem.2001.11.4.443
- Three dimensional non-conforming 8-node solid elements with rotational degrees of freedom vol.4, pp.5, 1996, https://doi.org/10.12989/sem.1996.4.5.569
- Adaptive finite element wind analysis with mesh refinement and recovery vol.1, pp.1, 1998, https://doi.org/10.12989/was.1998.1.1.111