Abstract
Uniformly stretched thin plates do not buckle unless they are in special boundary conditions. However, buckling commonly occurs around discontinuities, such as cracks, cuts, narrow slits, holes, and different openings, of such plates. This study aims to show that buckling can also occur in thin plates that contain no defect or singularity when the stretching is local. This specific stability problem is analyzed with the finite element method. A brief literature review on stretched plates is presented. Linear and nonlinear buckling stress analyses are conducted for a partially stretched rectangular plate, and various load cases are considered to investigate the influence of the partial loading expanse on the critical tensile buckling load. Results are summarized in iso-stress areas, tables and graphs. Local stretching on one end of the plate induces buckling in the thin plate even without geometrical imperfection.
Similar content being viewed by others
References
S. P. Timoshenko and J. M. Gere, Theory of elastic stability, McGraw-Hill, New York (1961).
P. S. Bulson, The Stability of Flat Plates, Chatto and Windus, London (UK) (1970).
Y. J. Chen and H. G. Kim, An equivalent plate model for corrugated-core sandwich panels, Journal of Mechanical Science and Technology, 29 (3) (2015) 1217–1223.
S. Deng, X. Qin and S. Huang, A study on the effect of subsurface crack propagation on rolling contact fatigue in a bearing ring, Journal of Mechanical Science and Technology, 29 (3) (2015) 1029–1038.
A. Eslami-majd and A. Rahbar-Ranji, Blast response of corroded steel plates, Journal of Mechanical Science and Technology, 28 (5) (2014) 1683–1690.
P. Cartraud and T. Messager, Computational homogenization of periodic beam-like structures, International Journal of Solids and Structures, 43 (3) (2006) 686–696.
A. Ghorbanpour Arani, Sh. Maghamikia, M. Mohammadimehr and A. Arefmanesh, Buckling analysis of laminated composite rectangular plates reinforced by swcnts using analytical and finite element methods, Journal of Mechanical Science and Technology, 25 (3) (2011) 809–820.
G. Ikhenazen, M. Saidani and A. Chelghoum, Finite element analysis of linear plates buckling under in-plane patch loading, Journal of Constructional Steel Research, 66 (8) (2010) 1112–1117.
R. Brighenti and A. Carpinteri, Buckling and fracture behavior of cracked thin plates under shear loading, Materials & Design, 32 (3) (2011) 1347–1355.
A. L. Narayana, K. Rao and R. V. Kumar, Fem buckling analysis of quasi-isotropic symmetrically laminated rectangular composite plates with a square/rectangular cutout, Journal of Mechanical Science and Technology, 27 (5) (2013) 1427–1435.
M. R. Khedmati, Z. H. M. E. Nouri and M. M. Roshanali, A comparative computational investigation on the effects of randomly distributed general corrosion on the post-buckling behavior of uniaxially loaded plates, Journal of Mechanical Science and Technology, 26 (3) (2012) 767–783.
R. Seifi and N. Khoda-yari, Experimental and numerical studies on buckling of cracked thin-plates under full and partial compression edge loading, Thin-Walled Structures, 49 (12) (2011) 1504–1516.
P. K. Datta and R. L. Carlson, Buckling and vibration of a thin tensioned sheet with an elliptical hole, Experimental Mechanics, 13 (7) (1973) 280–286.
S. P. Timoshenko and J. N. Goodier, Theory of elasticity, McGraw-Hill book Company (1951).
D. Shaw and Y. H. Huang, Buckling behavior of a central cracked thin plate under tension, Engineering Fracture Mechanics, 35 (6) (1990) 1019–1027.
R. Brighenti, Buckling of cracked thin-plates under tension or compression, Thin-Walled Structures, 43 (2) (2005) 209–224.
R. Brighenti, Numerical buckling analysis of compressed or tensioned cracked thin plates, Engineering Structures, 27 (2) (2005) 265–276.
R. Brighenti, Buckling sensitivity analysis of cracked thin plates under membrane tension or compression loading, Nuclear Engineering and Design, 239 (6) (2009) 965–980.
Y. Tomita and A. Shindo, Onset and growth of wrinkles in thin square plates subjected to diagonal tension, International Journal of Mechanical Sciences, 30 (12) (1988) 921–931.
K. Woo and C. H. Jenkins, Analysis of crease-wrinkle interaction for thin sheets, Journal of Mechanical Science and Technology, 26 (3) (2012) 905–916.
T. Kremer and H. Schürmann, Buckling of tension-loaded thin-walled composite plates with cut-outs, Composites Science and Technology, 68 (1) (2008) 90–97.
A. Gilabert, P. Sibillot, D. Sornette, C. Vanneste, D. Maugis and F. Muttin, Buckling instability and pattern around holes or cracks in thin plates under a tensile load, European Journal of Mechanics. A. Solids, 11 (1) (1992) 65–89.
R. Seifi and A. R. Kabiri, Lateral load effects on buckling of cracked plates under tensile loading, Thin-Walled Structures, 72 (2013) 37–47.
G. H. Bryan, On the stability of a plane plate under thrusts in its own plane, with applications to the "buckling" of the sides of a ship, Proceedings of the London Mathematical Society, 22 (1891) 54–67.
N. Friedl, F. G. Rammerstorfer and F. D. Fischer, Buckling of stretched strips, Computers & Structures, 78 (1) (2000) 185–190.
P. J. Deolasi, P. K. Datta and D. L. Prabhakara, Buckling and vibration of rectangular plates subjected to partial edge loading (compression or tension), Journal of Structural Engineering, 22 (3) (1995) 135–144.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Beomkeun Kim
Madina Kilardj was born in Algiers, Algeria. She is a Ph.D. student at the University of Sciences and Technology Houari Boumediene U.S.T.H.B. in Algeria, where she also received her master’s degree in Civil Engineering. Her research interests are civil engineering, structure analysis, strength of materials and plate stability.
Rights and permissions
About this article
Cite this article
Kilardj, M., Ikhenazen, G., Messager, T. et al. Linear and nonlinear buckling analysis of a locally stretched plate. J Mech Sci Technol 30, 3607–3613 (2016). https://doi.org/10.1007/s12206-016-0721-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-016-0721-5