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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)
  • Received : 2018.05.08
  • Accepted : 2018.07.21
  • Published : 2018.10.25

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.

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

References

  1. 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. https://doi.org/10.12989/sss.2017.19.3.289
  2. 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. https://doi.org/10.12989/SCS.2017.25.6.693
  3. 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. https://doi.org/10.12989/SEM.2018.65.5.573
  4. Akbas, S.D. (2014), "Large post-buckling behavior of Timoshenko beams under axial compression loads", Struct. Eng. Mech., 51(6), 955-971. https://doi.org/10.12989/sem.2014.51.6.955
  5. 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. https://doi.org/10.1016/j.riit.2016.11.002
  6. 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. https://doi.org/10.1016/S0045-7825(97)00035-2
  7. 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. https://doi.org/10.1016/0045-7949(94)90410-3
  8. 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. https://doi.org/10.12989/sem.2016.58.3.397
  9. 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. https://doi.org/10.12989/sem.2016.60.2.313
  10. Chajes, A. (1974), Principles of Structural Stability Theory, Prentice-Hall, Englewood Cliffs, New Jersey, U.S.A.
  11. Timoshenko, S.P. and Gere, J.M. (2010), Theory of Elastic Stability, Tata McGraw-Hill Education Pvt. Ltd., New Delhi, India.
  12. 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. https://doi.org/10.1016/j.compositesb.2017.11.017
  13. 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. https://doi.org/10.1016/j.conbuildmat.2018.02.070
  14. 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. https://doi.org/10.1166/jnn.2018.15635
  15. 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. https://doi.org/10.1016/j.tws.2015.11.009
  16. 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. https://doi.org/10.12989/SEM.2017.63.5.585
  17. 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. https://doi.org/10.1016/S0263-8231(01)00040-4
  18. 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. https://doi.org/10.1016/j.compositesb.2013.12.055
  19. 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. https://doi.org/10.12989/SEM.2017.62.6.695
  20. Jana, P. (2016), "Optimal design of uniaxially compressed perforated rectangular plate for maximum buckling load", Thin- Wall. Struct., 103, 225-230. https://doi.org/10.1016/j.tws.2015.12.027
  21. 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. https://doi.org/10.1016/j.tws.2017.11.013
  22. Jowhari Moghadam, S. (2015), "Plastic buckling of columns and plats", Ph.D. Dissertation, Imperial College, London, U.K.
  23. 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. https://doi.org/10.12989/SEM.2018.65.5.621
  24. 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. https://doi.org/10.1007/s13296-012-3011-9
  25. 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. https://doi.org/10.12989/SEM.2017.64.4.391
  26. 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.
  27. 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. https://doi.org/10.1016/j.ijmecsci.2014.12.016
  28. 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. https://doi.org/10.12989/SEM.2017.64.6.751
  29. 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. https://doi.org/10.1016/j.jcsr.2015.04.020
  30. Komur, M.A. (2011), "Elasto-plastic buckling analysis for perforated steel plates subjected to uniform compression", Mech. Res. Commun., 38(2), 117-122. https://doi.org/10.1016/j.mechrescom.2011.01.001
  31. 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.
  32. 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. https://doi.org/10.1016/j.ijnonlinmec.2011.02.001
  33. 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. https://doi.org/10.1016/j.ijnonlinmec.2015.02.011
  34. 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. https://doi.org/10.1016/j.tws.2008.08.003
  35. 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. https://doi.org/10.12989/SCS.2017.25.2.157
  36. 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. https://doi.org/10.1177/1099636214526852
  37. 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. https://doi.org/10.12989/SSS.2018.21.4.397
  38. 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. https://doi.org/10.1016/j.compstruct.2017.03.087
  39. 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.
  40. 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.
  41. 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.
  42. 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.
  43. 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. https://doi.org/10.11004/kosacs.2014.5.3.001
  44. 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.
  45. Musa, I.A. (2016), "Buckling of plates including effect of shear deformations: A hyperelastic formulation", Struct. Eng. Mech., 57(6), 1107-1124. https://doi.org/10.12989/sem.2016.57.6.1107
  46. 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. https://doi.org/10.1016/j.tws.2017.01.010
  47. Pham, C.H. (2017), "Shear buckling of plates and thin-walled channel sections with holes", J. Constr. Steel Res., 128, 800-811. https://doi.org/10.1016/j.jcsr.2016.10.013
  48. 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. https://doi.org/10.1016/j.tws.2014.12.015
  49. 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. https://doi.org/10.1016/j.apm.2017.05.052
  50. Sabir, A.B. and Chow, F.Y. (1986), "Elastic buckling of plates containing eccentrically located circular holes", Thin-Wall. Struct., 4(2), 135-149. https://doi.org/10.1016/0263-8231(86)90020-0
  51. 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. https://doi.org/10.1016/j.tws.2017.04.012
  52. 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. https://doi.org/10.1016/j.mechrescom.2017.07.015
  53. Shanley, F.R. (1946), "The column paradox", J. Aeronaut. Sci., 13(12), 678-678. https://doi.org/10.2514/8.11478
  54. Shimizu, S. (2007), "Tension buckling of plate having a hole", Thin-Wall. Struct., 45(10-11), 827-833. https://doi.org/10.1016/j.tws.2007.08.033
  55. 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. https://doi.org/10.1016/j.enganabound.2017.09.008
  56. 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. https://doi.org/10.1016/j.jcsr.2011.02.004
  57. 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.
  58. 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. https://doi.org/10.1016/j.tws.2017.05.026
  59. 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. https://doi.org/10.1016/j.tws.2016.11.017
  60. 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. https://doi.org/10.1016/j.apm.2017.11.031
  61. 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. https://doi.org/10.12989/SSS.2018.21.1.015
  62. 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. https://doi.org/10.12989/sem.2015.54.3.579

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