1 |
Washizu, K. (1968). Variational methods in elasticity and plasticity. Oxford: Pergamon Press.
|
2 |
Zhang, W. F. (2014). Unified theory of free and restricted torsion for narrow rectangular plate, Sciencepaperonline. http://www.paper.edu.cn/html/releasepaper/2014/04/143/ (in Chinese).
|
3 |
Zhang, W. F. (2015a). Plate - beam theory for thin - walled structures , Research Report. Daqing: Northeast Petroleum University (in Chinese).
|
4 |
Zhang, W. F. (2015b). New engineering theory for torsional buckling of steel-concrete composite I-columns. In Proceedings of the 11th international conference on advances in steel and concrete composite structures (Vol. 12, pp. 225-232). Beijing, China.
|
5 |
Zhang, W. F. (2015c). New theory of elastic torsional buckling for axial loaded box-shaped steel columns. In Proceedings of the 15th national symposium on modern structure engineering (pp. 793-804).
|
6 |
Zhang, W. F. (2015d). Energy variational model and its analytical solutions for the elastic flexural-torsional buckling of I-beams with concrete-filled steel tubular flanges. In Proceedings of the 8th international symposium on steel structures (pp. 1100-1108). Jeju, Korea.
|
7 |
Zhang, W. F. (2015e). New engineering theory for mixed torsion of steel-concrete-steel composite walls. In Proceedings of 11th international conference on advances in steel and concrete composite structures (Vol. 12, pp. 705-712). Beijing, China.
|
8 |
Zhang, W. F. (2016). Combined torsion theory for castellated beams with rectangular openings based on continuous model. In Proceedings of the 6th national conference on steel structure engineering technology (Vol. 7, pp. 359-365). Nanjing, China (in Chinese).
|
9 |
Zhang, W. F. (2018). Symmetric and antisymmetric lateral-torsional buckling of prestressed steel I-beams. Thin-Walled Structures, 122, 463-479.
DOI
|
10 |
ABAQUS. (2008). Standard user's manual (vols. 1, 2 and 3), Version 6.8-1. USA: Hibbitt, Karlsson and Sorensen, Inc.
|
11 |
Alwis, W. A. M., & Wang, C. M. (1994). Should load remain constant when a thin-walled open profile column buckles? International Journal of Solids and Structures, 31(21), 2945-2950.
DOI
|
12 |
Chen, J. (2011). Stability theory of steel structures and it application (6th ed.). Beijing: Science Press (in Chinese).
|
13 |
Alwis, W. A. M., & Wang, C. M. (1996). Wagner term in flexural-torsional buckling of thin-walled open profile columns. Engineering Structures, 18(2), 125-132.
DOI
|
14 |
Bathe, K. J. (1996). Finite element procedures. NJ: Prentice Hall.
|
15 |
Bleich, F. (1952). Buckling strength of metal structures. New York, NY: McGraw-Hill.
|
16 |
Chen, W. F., & Atsuta, T. (1977). Theory of beam-columns. Space behaviour and design (Vol. 2). New York, NY: McGraw-Hill.
|
17 |
EN 1993-1-5:2006. (2006). Eurocode 3: Design of steel structures -Part 1 - 5: Plated structural elements. Brussels: CEN-European committee for Standardization.
|
18 |
ANSYS. (2006). Multiphysics, release 12. Canonsburg, PA: Ansys Inc.
|
19 |
Zhang, W. F., Liu, Y. C., Chen, K. S., et al. (2017). Dimensionless analytical solution and new design formula for lateral-torsional buckling of I-beams under linear distributed moment via linear stability theory. Mathematical Problems in Engineering, 2017, 1-23.
|
20 |
Ziemian, R. D. (2010). Guide to stability design criteria for metal structures (6th ed.). NJ: Wiley.
|
21 |
Jonsson, J., & Stan, T.-C. (2017). European column buckling curves and finite element modelling. Journal of Constructional Steel Research, 128, 136-151.
DOI
|
22 |
Gjelsvik, A. (1981). The theory of thin-walled bars. New York: Wiley.
|
23 |
Gotoand, Y., & Chen, W. F. (1989). On the validity of Wagner hypothesis. International Journal of Solids and Structures, 25(6), 621-634.
DOI
|
24 |
Hu, H. C. (1982). Variational principle of elasticity and its application. Beijing: Science Press (in Chinese).
|
25 |
Kala, Z., & Vales, J. (2017). Global sensitivity analysis of lateraltorsional buckling resistance based on finite element simulations. Engineering Structures, 134, 37-47.
DOI
|
26 |
Neal, B. G. (1950). The lateral instability of yielded mild steel beams of rectangular cross section. Philosophical Transactions of the Royal Society London, A242, 197-242.
|
27 |
Kitipomchai, S., Wang, C. M., & Trahair, N. S. (1987). Closure of “Buckling of monosymmetric I-beams under moment gradient”. Journal of Structural Engineering ASCE, 113(6), 1391-1395.
DOI
|
28 |
Knag, Y. J., Lee, S. C., & Yoo, C. H. (1992). On the dispute concerning the validity of the Wagner hypothesis. Compurers & Slructures, 43(5), 853-861.
|
29 |
Lu, L. W., Shen, S. Z., et al. (1983). Stability of steel structural members. Beijing: Publishing House of Chinese Construction Industry (in Chinese).
|
30 |
Ojalvo, M. (1981). Wagner hypothesis in beam and column theory. Engineering Mechanics Division ASCE, 107(4), 669-677.
|
31 |
Galambos, T. V. (1963). Inelastic lateral buckling of beams. ASCE Journal of the Structural Division, 89(ST5), 217-244.
|
32 |
Reddy, J. N. (1984). Energy principles and variational methods in applied mechanics. New York: Wiley.
|
33 |
Ojalvo, M. (1987). Discussion on “Buckling of monosymmetric I-beams under moment gradient. Journal of Structural Engineering ASCE, 113(6), 1387-1391.
DOI
|
34 |
Ojalvo, M. (1989). The buckling of thin-walled open-profile bars. Journal of Applied Mechanics ASME, 56, 633-638.
DOI
|
35 |
Ojalvo, M. (1990). Thin-walled bars with open profiles. Columbus, OH: The Olive Press.
|
36 |
Reismann, H., & Pawlik, P. S. (1974). Elasticity: Theory and applications. New York: Pergamon.
|
37 |
Trahair, N. S. (1982). Discussion on “Wagner hypothesis in beam and column theory”. Journal of the Engineering Mechanics Division ASCE, 108(3), 575-578.
|
38 |
Timoshenko, S. P., & Gere, J. (1961). Theory of elastic stability (2nd ed.). New York, NY: McGraw-Hill.
|
39 |
Timoshenko, S., & Woinowsky-Krieger, S. (2010). Theory of plates and shells. New York: Mc-Graw Hill.
|
40 |
Tong, G. S. (2006). Out-plane stability of steel structures. Beijing:Publishing House of Chinese Construction Industry (in Chinese).
|
41 |
Trahair, N. S. (1993). Flexural-torsional buckling of structures (1st ed.). London: Chapman & Hall.
|
42 |
Trahair, N. S. (2012). Inelastic buckling design of monosymmetric I-beams. Engineering Structures, 34, 564-571.
DOI
|
43 |
Valentino, J., Piand, Y. L., & Trahair, N. S. (1997). Inelastic buckling of steel beams with central torsional restraints. Journal of Structural Engineering, 123(9), 1180-1186.
DOI
|
44 |
Vlasov, V. Z. (1961). Thin-walled elastic beams. Jerusalem: Israel Program for Scientific Translations.
|