참고문헌
- Ahmad, S.,Irons, B.M. and Zienkiewicz, O.C. (1970), "Analysis of thick and thin shell structures by curved finite elements", Int. J. Numer. Methods Eng., 2, 419-451. https://doi.org/10.1002/nme.1620020310
- Bathe, K.J., Wilson, E.L. and Peterson, F.E. (1974), "SAP IV-A Structural Analysis Program for Static and Dynamic Response of Linear Systems", Earthquake Engineering Research Center Report No. EERC 73-11, University of California, Berkeley, California, June 1973, revised April.
- Choi, C.K. and Schnobrich, W.C. (1975), "Nonconforming finite element analysis of shells", J. Eng. Mech. Div. ASCE, 101, 447-464.
- Choi, C.K. (1982), "General shell analysis by the nonconforming finite element", Bull. Int. Ass. Shell and Spatial Struct., 80, 5-16.
- Choi, C.K. (1984), "A conoidal shell analysis by modified isoparametric element", Compo. Struct., 18, 921-924. https://doi.org/10.1016/0045-7949(84)90037-3
- Choi, C.K. (1986), "Reduced integrated nonconforming plate element", J. Eng. Mech. Div. ASCE, 112, 370-385. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:4(370)
- Choi, C.K. and Kim, S.H. (1988), "Reduced integration, nonconforming modes, and their coupling in thin plate elements", Comp. Struct., 29, 57-62. https://doi.org/10.1016/0045-7949(88)90171-X
- Choi, C.K. and Kim, S.H. (1989), "Coupled use of reduced integration and nonconforming modes in quadratic Mindlin plate element", Int. J. Numer. Methods Eng., 28, 1909-1928. https://doi.org/10.1002/nme.1620280814
- Choi, C.K. and Park, Y.M. (1989), "Nonconforming transition plate bending elements with variable midsides nodes", Comp. Struct., 32, 295-304. https://doi.org/10.1016/0045-7949(89)90041-2
- Choi, C.K. and Kim, S.Y. (1989), "Nonconforming axisymmetric elements for the analysis of containment structures", Tran. 10th Int. Conf. SMIRT, California.
- Choi, C.K. and Yoo, S.W. (1991a), "Combined use of multiple improvement techniques in degenerated shell element", Comp. Struct., 39, 557-569. https://doi.org/10.1016/0045-7949(91)90064-S
- Choi, C.K. and Yoo, S.W. (1991b), "Geometrically nonlinear behavior of an improved degenerated shell element", Comp. Struct., 40, 785-794. https://doi.org/10.1016/0045-7949(91)90245-H
- Choi, C.K. and Park, Y.M. (1992), "Transition plate bending elements for compatible mesh gradation", J. Eng. Mech. Div. ASCE, 118, 462-480. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:3(462)
- Choi, C.K. (1992), "Development of the nonconforming elements", Proceedings of Korea-French Seminar on COMPUTATIONAL MECHANICS IN STRUCTURAL ENGINEERING,July 7-9, 1992, France, 1-18.
- Choi, C.K. and Lee, W.H. (1995), "Transition membrane elements with drilling freedom for local mesh refinements", Struct. Eng. Mech., 3, 75-89. https://doi.org/10.12989/sem.1995.3.1.075
- Choi, C.K. and Lee, W.H. (1996), "Versatile variable node flat shell element", J. Eng. Mech. Div. ASCE, 122, 432-441. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:5(432)
- Choi, C.K. and Park, Y.M. (1997), "Conforming and nonconforming transition plate bending elements for an adaptive h-refinement", Thin-Walled Str., 28(1), 1-20. https://doi.org/10.1016/S0263-8231(97)00007-4
- Clough, R.W. and Johnson, C.P. (1968), "A Finite Element Approximation for Analysis of Thin Shells, Int. J. of Solids and Structures, 4(1).
- Cochet, J.F. and Dhatt, G.S. (1978), "Plasticity analysis by a nonconforming plane element", Int. J. Numer. Methods Eng., 12, 561-566. https://doi.org/10.1002/nme.1620120314
- Cook, R.D. (1972), "More on reduced integration and isoparametric elements", Int. J. Numer. Methods Eng., 5, 141-142. https://doi.org/10.1002/nme.1620050113
- Cook, R.D. (1974), "Improved two-dimensional finite element", J. Struct. Div. ASCE, 1851-1863.
- Cook, R.D. (1975), "Avoidance of parasitic shear in plane element", J. Struct. Div. ASCE, 1239-1253.
- Cook, R.D. (1986), "On the Allman triangle and a related quadrilateral element", Comp. Struct., 22, 1065-1067. https://doi.org/10.1016/0045-7949(86)90167-7
- Fezans, G. and Verchery, G. (1982), "Some results on the behaviour of degenerated shell (D.S.) elements", Nucl. Eng. Des., 70,.27-35. https://doi.org/10.1016/0029-5493(82)90264-3
- Gupta, A.K. (1978), "A finite element for transition from a fine to a coarse grid", Int. J. Numer. Meth. Eng., 12, 35-45. https://doi.org/10.1002/nme.1620120104
- Hinton, E. and Huang, H.C. (1986), "A family of quadrilateral Mindlin plate elements with substitute shear strain fields", Comp. Struct., 23, 409-431. https://doi.org/10.1016/0045-7949(86)90232-4
- Huang, H.C. and Hinton, E. (1986), "A new nine node degenerated shell element with enhanced membrane and shear interpolation", Int. J. Numer. Methods Eng., 22, 73-92. https://doi.org/10.1002/nme.1620220107
- Hughes, T.J.R. and Cohen, M. (1978), "The heterosis finite element for plate bending", Comp. Struct., 9, 445-450. https://doi.org/10.1016/0045-7949(78)90041-X
- Hughes, T.J.R., Cohen, M. and Haron, M. (1978), "Reduced and selective integration techniques in the finite element analysis of plates", Nuclear Eng. Desgn., 46, 203-222. https://doi.org/10.1016/0029-5493(78)90184-X
- Hughes, T.J.R. and Tezduyar, T.E. (1981), "Finite elements based upon Mindlin plate bending theory with particular reference to the four-node bilinear isoparametric element", J. Appl. Mech., 48, 587-596. https://doi.org/10.1115/1.3157679
- Ibrahimbegovic, A., Taylor, R.L. and Wilson, E.L. (1990), "A robust quadrilateral membrane finte element with drilling degrees of freedom", Int. J. Numer. Methods Eng., 30, 445-457. https://doi.org/10.1002/nme.1620300305
- Kebari, H. and Cassel, A.C. (1991), "Stabilization by nonconforming modes: 9-node membrane element with drilling freedom", Int. J. Numer. Methods Eng., 31, 1453-1468. https://doi.org/10.1002/nme.1620310714
- Kim, S.H. and Choi, C.K. (1988), "Improved finite element models for the analysis of plate and shell structures", SEMR88-01E, Dept. Civil Eng., KAIST.
- Kim, S.H. and Choi, C.K. (1992), "Improvement of quadratic finite element for Mindlin plate bending", Int. J. Numer. Methods Eng., 34, 197-208. https://doi.org/10.1002/nme.1620340112
- Lee, S.W. and Wong, S.C. (1982), "Mixed formulation finite elements for Mindlin theory plate bending", Int. J. Numer. Methods Eng., 18, 1297-1311. https://doi.org/10.1002/nme.1620180903
- 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
- Mindlin, R.D. (1951), "Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates", J. Appl. Mech., 18, 31-38.
- Parisch, H. (1979), "A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration", Comp. Methods Appl. Mech. Eng., 20, 323-350. https://doi.org/10.1016/0045-7825(79)90007-0
- Park, Y.M. and Choi, C.K. (1997), "The patch tests and convergence for nonconforming Mindlin plate bending elements", Struct. Eng. Mech., 5, 471-490. https://doi.org/10.12989/sem.1997.5.4.471
- Pawsey, S.F. and Clough, R.W. (1971), "Improved numerical integration of thick shell finite elements", Int. J. Numer. Methods Eng., 3, 575-586. https://doi.org/10.1002/nme.1620030411
- Pugh, E.D.L., Hinton, E. and Zienkiewicz, O.C. (1978), "A study of quadrilateral plate bending elements with reduced integration", Int. J. Numer. Methods Eng., 12, 1059-1079. https://doi.org/10.1002/nme.1620120702
- Surana, K.S. (1983), "Geometrically nonlinear formulation for the curved shell elements", Int. J. Numer. Methods Eng., 19, 581-615. https://doi.org/10.1002/nme.1620190409
- Sze, K.Y. and Chow, C.L. (1991), "An incompatible element for axisymmetric structure and its modification by hybrid method", Int. J. Numer. Methods Eng., 31, 385-405. https://doi.org/10.1002/nme.1620310211
- Taylor, R.L., Beresford, P.J. and Wilson, E.L. (1976), "A nonconforming element for stress analysis", Int. J. Numer. Methods Eng., 10, 1211-1219. https://doi.org/10.1002/nme.1620100602
- Timoshenko, S.P. and Woiniwsky-Krieger, S. (1959), Theory of Plates and Shells, 2nd ed., MaGraw-Hill, New York.
- Tsach, U. (1981), "Locking of thin plate/shell elements", Int. J. Numer. Methods Eng., 17, 633-644. https://doi.org/10.1002/nme.1620170410
- Yunus, S.M. (1988), "A study of different hybrid elements with and without rotational D.O.F. for plane stress/plane strain problem", Comp. Struct., 30, 1127-1133. https://doi.org/10.1016/0045-7949(88)90155-1
- Wilson, E.L., Taylor, R.L., Doherty, W.P. and Ghaboussi, J. (1971), "Incompatible displacement modes", ONR Symposium on Numerical and Computer Methods in Structural Mechanics,University of Illinois, Urbana.
- Zienkiewicz, O.C., Taylor, R.L. and Too, J.M. (1971), "Reduced integration technique in general analysis of plates and shells", Int. J. Numer. Methods Eng., 3, 275-290. https://doi.org/10.1002/nme.1620030211
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