[1] Tsiptsis, I.N., Sapountzakis, E.J., Generalized Warping and Distortional Analysis of Curved Beams with Isogeometric Methods, Computers & Structures, 191, 2017, 33-50.
[2] Tsiptsis, I.N., Sapountzakis, E.J., Higher order beam theories and isogeometric methods in the analysis of curved bridges - assessment of diaphragms’ guidelines, International Journal of Bridge Engineering, 5(3), 2017, 133-182.
[3] Vlasov, V., Thin Walled Elastic Beams, 2nd Edn, National Science Foundation, Washington DC, 1961.
[4] Dabrowski, R., Warping torsion of curved box girders of non-deformable cross-section, Der Stahlbau, 34, 1965, 135-141.
[5] Dabrowski, R., Curved thin-walled girders theory and analysis, Cement and Concrete Association, 1968.
[6] Lili, Z., Yinghua, Z., Guangxin, W., Exact solution for in-plane displacement of redundant curved beam, Structural Engineering and Mechanics, 34(1), 2010, 139-142.
[7] Luo, Q.Z., Li, Q.S., Shear Lag of Thin-Walled Curved Box Girder Bridges, Journal of Engineering Mechanics, 126(10), 2000, 1111-1114.
[8] Heins, C.P., Spates, K.R., Behavior of single horizontally curved girder, Journal of the Structural Division ASCE, 96, 1970, 1511-1524.
[9] Koo, K.K., Cheung, Y.K., Mixed variational formulation for thin-walled beams with shear lag, Journal of Engineering Mechanics ASCE, 115, 1989, 2271-2286.
[10] Rosen, A., Abromovich, H., Galerkin method as a tool to investigate the planar and non-planar behaviour of curved beams, Computers & Structures, 18, 1984, 165-174.
[11] Yoo, C.H., Matrix formulation of curved girders, Journal of Engineering Mechanics ASCE, 105, 1979, 971-987.
[12] Gendy, A.S., Saleeb, A.F., On the finite element analysis of the Spatial response of curved beams with arbitrary thin-walled sections, Computers & Structures, 44(3), 1992, 639-652.
[13] Arici, M., Granata, M.F., Unified theory for analysis of curved thin-walled girders with open and closed cross section through HSA method, Engineering Structures, 113, 2016, 299-314.
[14] Sakai, F., Nagai, M., A proposal for intermediate diaphragm design in curved steel box girder bridges, Proceedings of the Japan Society of Civil Engineers, 305, 1981, 11-22.
[15] Nakai, H., Murayama, Y., Distortional stress analysis and design aid for horizontally curved box girder bridges with diaphragms, Proceedings of the Japan Society of Civil Engineers, 309, 1981, 25-39.
[16] Yabuki, T., Arizumi, Y., A provision on intermediate diaphragm spacing in curved steel-plated box-bridge-girders, Structural engineering/earthquake engineering JSCE, 6(2), 1989, 207-216.
[17] Park, N.H., Lim, N.H., Kang, Y.J., A consideration on intermediate diaphragm spacing in steel box girder bridges with a doubly symmetric section”, Engineering Structures, 25, 2003, 1665-1674.
[18] Park, N.H., Choi, Y.J., Kang, Y.J., Spacing of intermediate diaphragms in horizontally curved steel box girder bridges, Finite Elements in Analysis and Design, 41, 2005, 925-943.
[19] Kang, Y.J., Yoo, C.H., Thin-walled curved beams, I: formulation of nonlinear equations, Journal of Engineering Mechanics, 120(10), 1994, 2072-2101.
[20] Zhang, Y., Hou, Z., Li, Y., Wang, Y., Torsional behaviour of curved composite beams in construction stage and diaphragm effects, Journal of Constructional Steel Research, 108, 2015, 1-10.
[21] Yoo, C.H., Kang, J., Kim, K., Stresses due to distortion on horizontally curved tub-girders, Engineering Structures, 87, 2015, 70-85.
[22] Yangzhi, R., Wenming, C., Yuanqing, W., Bin, W., Analysis of the distortion of cantilever box girder with inner flexible diaphragms using initial parameter method, Thin-Walled Structures, 117, 2017, 140-154.
[23] Yangzhi, R., Wenming, C., Yuanqing, W., Qingrong, C., Bin, W., Distortional analysis of simply supported box girders with inner diaphragms considering shear deformation of diaphragms using initial parameter method, Engineering Structures, 145, 2017, 44-59.
[24] Vu, Q.V., Thai, D.K., Kim, S.E., Effect of intermediate diaphragms on the load-carrying capacity of steel-concrete composite box girder bridges, Thin-Walled Structures, 122, 2018, 230-241.
[25] Jung, J. H., Jang, G.W., Shin, D., Kim, Y.Y., One-dimensional analysis of thin-walled beams with diaphragms and its application to optimization for stiffness reinforcement, Computational Mechanics, 61(3), 2018, 331-349.
[26] Sapountzakis, E.J., Tsiptsis, I.N., Generalized warping analysis of curved beams by BEM, Engineering Structures, 100, 2015, 535-549.
[27] Katsikadelis, J.T., The Analog Equation Method. A Boundary - only Integral Equation Method for Nonlinear Static and Dynamic Problems in General Bodies, Theoretical and Applied Mechanics, 27, 2002, 13-38.
[28] American Association of State Highway and Transportation Officials (AASHTO), AASHTO LRFD bridge design specifications, 7th ed. Washington, DC, 2014.
[29] American Association of State Highway and Transportation Officials (AASHTO), AASHTO Guide specifications for horizontally curved steel girder highway bridges with design examples for I-girder and box-girder bridges, Washington, DC, 2003.
[30] Hanshin Expressway Public Corporation (HEPC), Guidelines for the design of horizontally curved girder bridges (draft), Osaka, Japan: Hanshin Expressway Public Corporation and Steel Struct Study Com, 1988.
[31] Cantieni R., Dynamic load test on highway bridges in Switzerland, 60 years experience of EMPA, Report no.211, Dubendorf, Switzerland, 1983.
[32] Ontario Highway Bridge Design Code (OHBDC), Ministry of Transportation and Communication, Ontario, Canada, 1983.
[33] Billing, J.R., Green, R., Design provisions for dynamic loading of highway bridge, Transportation Research Report 950, Ontario Ministry of Transportation and Communications, Dowsview, Ontario, Canada, 94-103, 1984.
[34] Heins, C.P., Hall, D.H., Designer’s guide to steel box-girder bridges, Bethlehem, Bethlehem Steel Corporation, 1981.
[35] Hamed, E., Frosting, Y., Free vibrations of multi-girder and multi-cell box bridges with transverse deformations effects, Journal of Sound and Vibration, 279, 2005, 699-722.
[36] Petrolo, M., Zappino, E., Carrera, E., Refined free vibration analysis of one-dimensional structures with compact and bridge-like cross-sections, Thin-Walled Structures, 56, 2012, 49-61.
[37] Bathe, K. J., ADINA System. ADINA R&D Inc, 2016.
[38] Dikaros, I.C., Sapountzakis, E.J., Distortional Analysis of Beams of Arbitrary Cross Section Using BEM, Journal of Engineering Mechanics, 143(10), 2017, 04017118.
[39] Bendsøe, M.P., Sigmund, O., Topology optimization, theory, methods, and applications, Springer, Berlin, 2004.
[40] Oleinik, J.C., Heins, C.P., Diaphragms for curved box beam bridges, Journal of the Structural Division ASCE, 101(10), 1975, 2161-2178.
[41] Eurocode 3, Design of steel structures - Part 1-5: Plated structural elements, Brussels, Belgium: European Committee for Standardization, 2006.
[42] Lacki, P., Derlatka, A., Strength evaluation of beam made of the aluminum 6061-T6 and titanium grade 5 alloys sheets joined by RFSSW and RSW, Composite Structures, 159, 2017, 491-497.
[43] Lacki, P, Derlatka, A, Kasza, P., Comparison of steel-concrete composite column and steel column, Composite Structures, 202, 2018, 82-88.
[44] Lacki, P., Nawrot, J., Derlatka, A., Winowiecka, J., Numerical and experimental tests of steel-concrete composite beam with the connector made of top-hat profile, Composite Structures, 211, 2019, 244-53.
[45] FEMAP for Windows. Finite element modeling and post-processing software. Help System Index Version, 11(1), 2010.
[46] Aminbaghai, M., Murin, J., Hrabovsky, J., Mang, H.A., Torsional warping eigenmodes including the effect of the secondary torsion moment on the deformations, Engineering Structures, 106, 2016, 299-316.
[47] Peng, H., Xiaojie, Y., Chen, L., Bo, W., Hongliang, L., Gang, L., Fei, N., An integrated framework of exact modeling, isogeometric analysis and optimization for variable-stiffness composite panels, Computer Methods in Applied Mechanics and Engineering, 339, 2018, 205-238.
[48] Peng, H., Yutian, W., Rui, M., Hongliang, L., Bo, W., Gang, L., A new reliability-based design optimization framework using isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, 345, 2019, 476-501.
[49] Peng, H., Chen, L., Xuanxiu, L., Xiaojie, Y., Bo, W., Gang, L., Manhong, D., Liang, C., Isogeometric analysis and design of variable-stiffness aircraft panels with multiple cutouts by level set method, Composite Structures, 206, 2018, 888-902.