Browse > Article
http://dx.doi.org/10.12989/sem.2018.68.2.261

Comprehensive investigation of buckling behavior of plates considering effects of holes  

Mohammadzadeh, Behzad (Department of Civil Engineering, Hongik University)
Choi, Eunsoo (Department of Civil Engineering, Hongik University)
Kim, Woo Jin (Department of Materials Science and Engineering, Hongik University)
Publication Information
Structural Engineering and Mechanics / v.68, no.2, 2018 , pp. 261-275 More about this Journal
Abstract
A comprehensive study was provided to investigate the buckling behavior of the steel plates with and without through-thickness holes subjected to uniaxial compression using ABAQUS. The method was validated by the results reported in the literature. Using the critical stresses, the buckling coefficients ($K_c$) were calculated. The effects of inclusion of material nonlinearity, plate thickness (t), aspect ratio (AR), and initial imperfection on buckling resistance of the plate was studied. Besides, the effects of having the hole in the plate were also studied. The diameter of the hole was normalized by dividing by plate breadth and was given in the form of ${\alpha}$. Results showed that perforating one hole in the center of a plate increases the plate buckling resistance while the having two holes resulted in a decrease in the plate buckling resistance. The effects of hole eccentricity (Ecc) on the buckling resistance of the plate was studied. The position of the hole center was normalized by half of the plate breadth and length in X- and Y-directions, respectively. In this study, four cases of boundary conditions were considered, and the corresponding buckling behavior were studied combined with plate aspect ratio. It was observed that the boundary condition of the case I resulted in the highest buckling resistance. Finally, a comparison was made between the buckling behavior of the uniaxially and biaxially loaded plate. It was revealed that the buckling resistance of a biaxially loaded plate is lower half than half of that of the uniaxially loaded plate.
Keywords
buckling analysis; post-buckling; plates; through-thickness hole; buckling coefficient; material nonlinearity; geometrical nonlinearity; hole eccentricity;
Citations & Related Records
Times Cited By KSCI : 12  (Citation Analysis)
연도 인용수 순위
1 Seifi, R., Chahardoli, S. and Akhavan Attar, A. (2017), "Axial buckling of perforated plates reinforced with strips and middle tubes", Mech. Res. Commun., 85, 21-32.   DOI
2 Shanley, F.R. (1946), "The column paradox", J. Aeronaut. Sci., 13(12), 678-678.   DOI
3 Shimizu, S. (2007), "Tension buckling of plate having a hole", Thin-Wall. Struct., 45(10-11), 827-833.   DOI
4 Soares, R.A. and Palermo Jr, L. (2017), "Effect of shear deformation on the buckling parameter of perforated and non-perforated plates studied using the boundary element method", Eng. Analy. Bound. Elem., 85, 57-69.   DOI
5 Sweedan, A.M.I. and Sawy, K.M. (2011), "Elastic local buckling of perforated webs of steel cellular beam-column elements", J. Constr. Steel Res., 67(7), 1115-1127.   DOI
6 Tajdari, M., Nezamabadi, A.R., Naeemi, M. and Pirali, P. (2011), "The effect of plate-support condition on buckling strength of rectangular perforated plates under linearly varying in-plane normal load", World Acad. Sci. Eng. Technol., 54, 479-486.
7 Choi, E., Chae, S.W., Park, H., Nam, T.H., Mohammadzadeh, B. and Hwang, J.H. (2018), "Investigating self-centering capacity of superelastic shape memory alloy fibers with different anchorages through pullout tests", J. Nanosci. Nanotechnol., 18(9), 6228-6232.   DOI
8 C.Scheperboer, I., Efthymiou, E. and and Maljaars, J. (2016), "Local buckling of aluminum and steel plates with multiple holes", Thin-Wall. Struct., 99, 132-141.   DOI
9 Xie, K., Chen, M. and Li, Z. (2017), "An analytic method for free and forced vibration analysis of stepped conical shells with arbitrary boundary conditions", Thin-Wall. Struct., 111, 126-137.   DOI
10 Degtyarev, V. and Degtyareva, N. (2017), "Numerical simulations on cold-formed steel channels with flat slotted webs in shear. Part I: Elastic shear buckling characteristics", Thin-Wall. Struct., 119, 22-32.   DOI
11 Xinwei, W. and Zhangxian, Y. (2018), "Buckling analysis of isotropic skew plates under general in-plane loads by the modified differential quadrature method", Appl. Math. Modell., 56, 83-95.   DOI
12 Hichem, B., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Hassan, S. (2017), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., 62(6), 695-702.   DOI
13 El-Hania, F., Bakora, A., Bousahla, A.A., Tunsi, A. and Mahmoud, S.R. (2017), "A simple analytical approach for thermal buckling of thick functionally graded sandwich plates", Struct. Eng. Mech., 63(5), 585-595.   DOI
14 El-Sawy, K.M. and Nazmy, A.S. (2001), "Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes", Thin-Wall. Struct., 39(12), 983-998.   DOI
15 Guo, S., Li, D., Zhang, X. and Xiang, J. (2014), "Buckling and post-buckling of a composite C-section with cutout and flange reinforcement", Compos. Part B: Eng., 60, 119-124.   DOI
16 Jana, P. (2016), "Optimal design of uniaxially compressed perforated rectangular plate for maximum buckling load", Thin- Wall. Struct., 103, 225-230.   DOI
17 Jiao, P., Chen, Z., Xu, F., Tang, X. and Su, W. (2018), "Effects of ringed stiffener on the buckling behavior of cylindrical shells with cutout under axial compression: Experimental and numerical investigation", Thin-Wall. Struct., 123, 232-243.   DOI
18 Kasaeian, Sh., Azhari, M., Heidarpour, A. and Hajiannia, A. (2012), "Inelastic local buckling of curved plates with or without thickness-tapered sections using finite strip method", Int. J. Steel Struct., 12(3), 427-442.   DOI
19 Jowhari Moghadam, S. (2015), "Plastic buckling of columns and plats", Ph.D. Dissertation, Imperial College, London, U.K.
20 Kaci, A., Houari, M.S.A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Post-buckling analysis of sheardeformable composite beams using a novel simple twounknown beam theory", Struct. Eng. Mech., 65(5), 621-631.   DOI
21 Kiran, M.C. and Kattimani, S.C. (2017), "Buckling characteristics and static studies of multilayered magneto-electro-elastic plate", Struct. Eng. Mech., 64(6), 751-763.   DOI
22 Khetir, H., Bouiadjra, M.B., Sid Ahmed, H.M., Tounsi, A. and Hassan, S. (2017), "A new nonlocal trigonometric shear deformation theory for themal buckling analysis of embedded nanosized FG plates", Struct. Eng. Mech., 64(4), 391-402.   DOI
23 Kim, H.S., Park, Y.M., Kim, B.J. and Kim, K. (2018), "Numerical investigation of buckling strength of longitudinally stiffened web of plate girders subjected to bending", Struct. Eng. Mech., 65(4), 141-154.
24 Kim, J.H., Jeon, J.H., Park, J.S., Seo, H.D., Ahn, H.J. and Lee, J.M. (2015), "ㅊ, Int. J. Mech. Sci., 92, 194-205.   DOI
25 Komur, M.A. and Sonmez, M. (2015), "Elastic buckling behavior of rectangular plates with holes subjected to partial edge loading", J. Constr. Steel Res., 112, 54-60.   DOI
26 Le Grognec, P. and Saoud, K.S. (2015), "Elastoplastic buckling and post-buckling analysis of sandwich columns", Int. J. Non-Lin. Mech., 72, 67-79.   DOI
27 Komur, M.A. (2011), "Elasto-plastic buckling analysis for perforated steel plates subjected to uniform compression", Mech. Res. Commun., 38(2), 117-122.   DOI
28 Ko, W.L. (1998), Mechanical- and Thermal-Buckling Behavior of Rectangular Plates with Different Central Cutouts, Dryden Flight Research Center, Edwards, California, U.S.A., National Aeronautics and Space Administration.
29 Le Grognec, P. and Van., A.L. (2011), "On the plastic bifurcation and post-bifurcation of axially compressed beams", Int. J. Non-Lin. Mech., 46(5), 693-702.   DOI
30 Maiorana, E., Pellegrino, C. and Modena, C. (2009), "Elastic stability of plates with circular and rectangular holes subjected to axial compression and bending moment", Thin-Wall. Struct., 47(3), 241-255.   DOI
31 Menasria, A., Bouhadra, A., Tounsi, A., Bousahla, A.A. and Hassan, S. (2017), "A new and simple HSDT for thermal stability analysis of FG sandwich plats", Steel Compos. Struct., 25(2), 157-175.   DOI
32 Meziane, M.A.A., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318.   DOI
33 Mohammadzadeh, B., Bina, M. and Hasounizadeh, H. (2012), "Application and comparison of mathematical and physical models on inspecting slab of stilling basin floor under static and dynamic forces", Appl. Mech. Mater., 147, 283-287.
34 Mokhtar, Y., Heireche, H., Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2018), "A novel shear deformation theory for buckling analysis of single layer graphene sheet based on nonlocal elasticity theory", Smart Struct. Syst., 21(4), 397-405.   DOI
35 Mohammadzadeh, B. and Noh, H.C. (2017), "Analytical method to investigate nonlinear dynamic responses of sandwich plates with FGM faces resting on elastic foundation considering blast loads", Compos. Struct., 174, 142-157.   DOI
36 Mohammadzadeh, B. and Noh, H.C. (2015), "Numerical analysis of dynamic responses of the plate subjected to impulsive loads", Int. J. Civil, Environ., Struct., Constr. Architect. Eng., 9(9), 1148-1151.
37 Mohammadzadeh, B. and Noh, H.C. (2014), "Investigation into central-difference and Newmark's beta method in measuring dynamic responses", Adv. Mater. Res., 831, 95-99.
38 Mohammadzadeh, B. and Noh, H.C. (2018), "An analytical and numerical investigation on the dynamic responses of steel plates considering the blast loads", Int. J. Steel Struct.
39 Mohammadzadeh, B. and Noh, H.C (2016), "Investigation into buckling coefficients of plates with holes considering variation of hole size and plate thickness", Mechan., 22(3), 167-175.
40 Mohammadzadeh, B. and Noh, H.C. (2014), "Use of buckling coefficient in predicting buckling load of plates with and without holes", J. Kor. Soc. Adv. Comp. Struct., 5(3), 1-7.   DOI
41 Akbas, S.D. (2014), "Large post-buckling behavior of Timoshenko beams under axial compression loads", Struct. Eng. Mech., 51(6), 955-971.   DOI
42 Abdelbaki, C., Tounsi, A., Habib, H., Hassan, S. (2017), "Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT", Smart Struct. Syst., 19(3), 289-297.   DOI
43 Abdelaziz, H.H., Meziane, M.A.A., Bousahla, A.A., Tounsi, A., Mahmoud, S.R., Alwabi, A.S. (2017), "An efficient hyperbolic shear deformation theory for bending, buckling and free vibration of FGM sandwich plates with various boundary conditions", Steel Compos. Struct., 25(6), 693-704.   DOI
44 Aghazadeh, R., Dag, S. and Cigeroglu, E. (2018), "Modeling of graded rectangular micro-plates with variable length scale parameters", Struct. Eng. Mech., 65(5), 573-585.   DOI
45 Aykac, B., Aykac, S., Kalkan, I. and Bocek, M. (2016), "The Outof-plane bending behavior of brick infill wall strengthened with perforated steel plates", Ingenieria, Investigaciony Tecnologia, 17(4), 429-435.   DOI
46 Prajapat, K., Ray-Chaudhuri, S. and Kumar, A. (2015), "Effect of in-plane boundary conditions on elastic buckling behavior of solid and perforated plates", Thin-Wall. Struct., 90, 171-181.   DOI
47 Musa, I.A. (2016), "Buckling of plates including effect of shear deformations: A hyperelastic formulation", Struct. Eng. Mech., 57(6), 1107-1124.   DOI
48 Nguyen, V.V., Hancock, G. J. and Pham, C.H. (2017), "Analysis of thin-walled sections under localized loading for general end boundary conditions-part 1: Pre-buckling", Thin-Wall. Struct., 119, 956-972.   DOI
49 Pham, C.H. (2017), "Shear buckling of plates and thin-walled channel sections with holes", J. Constr. Steel Res., 128, 800-811.   DOI
50 Ruocco, E., Mallardo, V., Minutolo, V. and Di Giacinto, D. (2017), "Analytical solution for buckling of Mindlin plates subjected to arbitrary boundary conditions", Appl. Math. Modell., 50, 497-508.   DOI
51 Sabir, A.B. and Chow, F.Y. (1986), "Elastic buckling of plates containing eccentrically located circular holes", Thin-Wall. Struct., 4(2), 135-149.   DOI
52 Sadamoto, S., Tanaka, S., Taniguchi, K., Ozdemir, M., Bui, T.Q., Murakami, C. and Yanagihara, D. (2017), "Buckling analysis of stiffened plate structures by an improved meshfree flat shell formulation", Thin-Wall. Struct., 117, 303-313.   DOI
53 Yzid, M., Heirche, H., Tounsi, A., Anis, Bousahla, A.A. and Houari, M.S.A. (2018), "A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium", Smart Struct. Syst., 21(1), 15-25.   DOI
54 Ziane, N., Meftah, S.A., Ruta, G., Tounsi, A. and Bedia, E.A.A. (2015), "Investigation of the instability of FGM box beams", Struct. Eng. Mech., 54(3), 579-595.   DOI
55 Timoshenko, S.P. and Gere, J.M. (2010), Theory of Elastic Stability, Tata McGraw-Hill Education Pvt. Ltd., New Delhi, India.
56 Bedair, O.K. (1997), "Influence of in-plane restraint on the buckling behaviour of plates under uniform compression, shear and in-plane bending", Comput. Meth. Appl. Mech. Eng., 148(1-2), 1-10.   DOI
57 Bedair, O.K. and Sherbourne, A.N. (1994), "On the stability of plates under combined compression and in-plane bending", Comput. Struct., 53(6), 1453-1464.   DOI
58 Bouderba, B., Sid Ahmed, H.M., Tounsi, A. and Hassan, S. (2016), "Thermal stability of functionally graded sandwich plates using a simple shear deformation theory", Struct. Eng. Mech., 58(3), 397-422.   DOI
59 Bousahla, A.A., Benyoucef, S. and Tounsi, A. (2016), "On thermal stability of plates with functionally graded coefficient of thermal expansion", Struct. Eng. Mech., 60(2), 313-335.   DOI
60 Chajes, A. (1974), Principles of Structural Stability Theory, Prentice-Hall, Englewood Cliffs, New Jersey, U.S.A.
61 Choi, E., Mohammadzadeh, B., Kim, D. and Jeon, J.S. (2018), "A new experimental investigation into the effects of reinforcing mortar beams with superelastic SMA fibers on controlling and closing cracks", Compos. Part B, 137, 140-152.   DOI
62 Choi, E., Mohammadzadeh, B., Hwang, J.H. and Kim, W.J. (2018), "Pullout behavior of superelastic SMA fibers with various end-shapes embedded in cement mortar", Constr. Build. Mater., 167, 605-616.   DOI