Cyclic Elastoplastic Large Deflection Analysis of Thin Steel Plates
Publication: Journal of Engineering Mechanics
Volume 124, Issue 4
Abstract
This paper deals with the elastoplastic large deflection analysis of thin steel plates subjected to in-plane cyclic compression and tension using the finite element method. The modified two-surface plasticity model, recently developed by the authors, and the approximate updated Lagrangian description of motion are employed, respectively, for material and geometrical nonlinearities in the elastoplastic finite element formulation for plates. The plate element is implemented in the computer program FEAP used in the analysis. The formulation accounts for important cyclic characteristics of structural steel within the yield plateau and hardening regime, such as the decrease and disappearance of the yield plateau, reduction of the elastic range, and cyclic strain hardening, as well as the spread of plasticity through the thickness and plane of the plate. The cyclic elastoplastic performance of the formulation was found to be good when compared with the results obtained from other material models. Based on the results of an extensive parametric study, the effect of loading history and some important plate parameters on the hysteretic behavior of thin plates is discussed and evaluated.
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References
1.
Banno, S. (1994). “Cyclic elastoplastic finite displacement analysis of plates with modified two-surface model,” MS thesis, Dept. of Civ. Engrg., Nagoya University, Nagoya, Japan (in Japanese).
2.
Bathe, K. J., and Ho, L. W.(1981). “A simple and effective element for analysis of general shell structures.”Comp. and Struct., 13, 673–681.
3.
Bradford, M. A., and Azhari, M.(1995). “Inelastic local buckling of plates and plate assemblies using bubble functions.”Engrg. Struct., 17(2), 95–103.
4.
Dafalias, Y. F., and Popov, E. P.(1975). “A model of nonlinear hardening materials for complex loading.”Acta Mechanica, 21(3), 173–192.
5.
Dafalias, Y. F., and Popov, E. P.(1976). “Plastic Internal Variables Formalism of Cyclic Plasticity.”J. Appl. Mech., Trans. ASME, 43, 645–651.
6.
Fafard, M., Dhatt, G., and Botaz, J. L.(1989). “A new discrete kirchhoff plate/shell element with updated procedures.”Comp. and Struct., 31(4), 591–603.
7.
Fukumoto, Y., and Kusama, H. (1985). “Cyclic behavior of plates under in-plane loading.”Engrg. Struct., 7(Jan.), 56–63.
8.
Jetteur, P., Cescotto, S., de Ville de Goyet, V., and Frey, F.(1983). “Improved nonlinear finite elements for oriented bodies using an extension of Marguerre's theory.”Comp. and Struct., 17(1), 129–137.
9.
Mamaghani, I. H. P., Shen, C., Mizuno, E., and Usami, T.(1995). “Cyclic behavior of structural steels. I: Experiments.”J. Engrg. Mech., ASCE, 121(11), 1158–1164.
10.
Mamaghani, I. H. P., Usami, T., and Mizuno, E.(1996a). “Inelastic large deflection analysis of steel structural members under cyclic loading.”Engrg. Struct., 18(9), 659–668.
11.
Mamaghani, I. H. P., Usami, T., and Mizuno, E. (1996b). “Cyclic elastoplastic large displacement behaviour of steel compression members.”J. Struct. Engrg., JSCE, 42(A), 135–145, Tokyo, Japan.
12.
Mamaghani, I. H. P., Usami, T., and Mizuno, E. (1996c). “Cyclic elastoplastic behavior of steel structures: theory and experiment.”NUCE Res. Rep. No. 9601, Nagoya Univ., Nagoya, Japan.
13.
MARC User Information Manual. (1988). MARC Analysis Research Corp., Nippon MARC Co., Ltd., Tokyo, Japan.
14.
Owen, D. R. J., and Hinton, E. (1980). Finite elements in plasticity: theory and practice. Pineridge Press Limited, Swansea, Wales.
15.
Shen, C., Tanaka, Y., Mizuno, E., and Usami, T. (1992). “A two-surface model for steels with yield plateau.”J. Struct. Engrg. and Earthquake Engrg., 8(4), 179–188, Tokyo, Japan.
16.
Shen, C., Mamaghani, I. H. P., Mizuno, E., and Usami, T.(1995). “Cyclic behavior of structural steels. II: Theory.”J. Engrg. Mech., ASCE, 121(11), 1165–1172.
17.
Usami, T., Wada, M., Kato, M., and Ge, H. B. (1991). “Ultimate compressive strength of plate assemblies.”Steel structures: recent research and developments: Proc., Int. Conf. on Steel and Aluminum Struct., S. L. Lee and N. E. Shanmugam, eds., Elsevier Applied Science, New York, N.Y., 471–480.
18.
Usami, T., Mizutani, S., Aoki, T., and Itoh, Y. (1992). “Steel and concrete-filled steel compression members under cyclic loading.”Stability and ductility of steel structures under cyclic loading, Y. Fukumoto and G. C. Lee, eds., CRC Press, Boca Raton, Fla., 123–138.
19.
Usami, T.(1993). “Effective width of locally buckled plates in compression and bending.”J. Struct. Engrg., ASCE, 119(5), 1358–1373.
20.
Washizu, K. (1982). Variational methods in elasticity and plasticity. 3rd Ed., Pergamon Press, Inc., Tarrytown, N.Y.
21.
Yao, Y., and Nikolov, P. I. (1992). “Numerical experiment on buckling/plastic collapse behavior of plates under cyclic loading.”Stability and ductility of steel structures under cyclic loading, Y. Fukumoto and G. C. Lee, eds., CRC Press, Boca Raton, Fla., 203–214.
22.
Zienkiewicz, O. C. (1977). The finite element method. 3rd Ed., McGraw-Hill Book Co., Inc., New York, N.Y.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 124 • Issue 4 • April 1998
Pages: 363 - 370
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Apr 1, 1998
Published in print: Apr 1998
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