Investigation of Pre-buckling Stress Effect on Buckling Load Determination of Finite Rectangular Plates with Circular Cutout

Subject Areas : Engineering

S Abolghasemi ¹ , H.R Eipakchi ² , M Shariati ³

1 - Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
2 - Faculty of Mechanical and Mechatronic Engineering, Shahrood University of Technology, Shahrood, Iran
3 - Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

Received: 2018-07-23 Accepted : 2018-09-26 Published : 2018-12-30

Keywords:

References:

[1] Lekhnitskii S., 1968, Anisotropic Plates, Gordon and Breach Science, New York.
[2] Savin G. N., 1961,Stress Concentration Around Holes, Pergamon, New York.
[3] Sevenois R. D. B., Koussios S., 2014, Analytic methods for stress analysis of two-dimensional flat anisotropic plates with notches: an overview, Applied Mechanics Reviews 66: 060802.
[4] Lin C. C., Ko C. C., 1988, Stress and strength analysis of finite composite laminates with elliptical holes, Journal of Composite Materials 22: 373-385.
[5] Gao X. L., 1996, A general solution of an infinite elastic plate with an elliptic hole under biaxial loading, International Journal of Pressure Vessels and Piping 67: 95-104.
[6] Ukadgaonker V. G., Rao D. K. N., 2000, A general solution for stresses around holes in symmetric laminates under inplane loading, Composite Structures 49: 339-354.
[7] Xu X. W., Man H. C., Yue T. M., 2000, Strength prediction of composite laminates with multiple elliptical holes, International Journal of Solids and Structures 37: 2887-2900.
[8] Louhghalam A., Igusa T., Park C., Choi S., Kim K., 2011, Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping – Finite element approach, International Journal of Solids and Structures 48: 1991-2004.
[9] Nemeth M. P., stein M., Johnson E. R., 1986, An approximate buckling analysis for rectangular orthotropic plates with centrally located cutouts, NASA Technical Paper 1986: 1-18.
[10] Britt V. O., 1994, Shear and compression buckling analysis for anisotropic panels with elliptical cutouts, AIAA Journal 32: 2293-2299.
[11] Shakerley T. M., Brown C. J., 1996, Elastic buckling of plates with eccentrically positioned rectangular perforations, International Journal of Mechanical Sciences 38: 825-838.
[12] El-Sawy K. M., Nazmy A. S., 2001, Effect of aspect ratio on the elastic buckling of uniaxially loaded plates with eccentric holes, Thin–Walled Structures 39: 983-998.
[13] Sabir A., Chow F., 1986, Elastic buckling of plates containing eccentrically located circular holes, Thin–Walled Structures 4: 135-149.
[14] Ghannadpour S. A. M., Najafi A., Mohammadi B., 2006, On the buckling behavior of cross-ply laminated composite plates due to circular/elliptical cutouts, Composite Structures 75: 3-6.
[15] Anil V., Upadhyay C. S., Iyengar N. G. R., 2007, Stability analysis of composite laminate with and without rectangular cutout under biaxial loading, Composite Structures 80: 92-104.
[16] Moen C. D., Schafer B. W., 2009, Elastic buckling of thin plates with holes in compression or bending, Thin–Walled Structures 47: 1597-1607.
[17] Kumar D., Singh S. B., 2013, Effects of flexural boundary conditions on failure and stability of composite laminate with cutouts under combined in-plane loads, Composites Part B: Engineering 45: 657-665.
[18] Kumar D., Singh S. B., 2012, Stability and failure of composite laminates with various shaped cutouts under combined in-plane loads, Composites Part B: Engineering 43: 142-149.
[19] Kumar D., Singh S. B., 2010, Effects of boundary conditions on buckling and postbuckling responses of composite laminate with various shaped cutouts, Composite Structures 92: 769-779.
[20] Aydin Komur M., Sonmez M., 2008, Elastic buckling of rectangular plates under linearly varying in-plane normal load with a circular cutout, Mechanics Research Communications 35: 361-371.
[21] Prajapat K., Ray-Chaudhuri S., Kumar A., 2015, Effect of in-plane boundary conditions on elastic buckling behavior of solid and perforated plates, Thin–Walled Structures 90: 171-181.
[22] Barut A., Madenci E., 2010, A complex potential-variational formulation for thermo-mechanical buckling analysis of flat laminates with an elliptic cutout, Composite Structures 92: 2871-2884.
[23] Ovesy H. R., Fazilati J., 2012, Buckling and free vibration finite strip analysis of composite plates with cutout based on two different modeling approaches, Composite Structures 94: 1250-1258.
[24] Huang C., Leissa A., 2009, Vibration analysis of rectangular plates with side cracks via the Ritz method, Journal of Sound and Vibration 323: 974-988.
[25] Huang C., Leissa A., Chan C., 2011, Vibrations of rectangular plates with internal cracks or slits, International Journal of Mechanical Sciences 53: 436-445.
[26] Sadd M. H., 2005, Elasticity: Theory, Applications, and Numerics, Academic Press, India.
[27] Reddy J. N., 2006, Theory and Analysis of Elastic Plates and Shells, CRC Press.
[28] Bažant Z. P., Cedolin L., 2010, Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories, World Scientific.
[29] Kumar Y., 2017, The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review, Journal of Vibration and Control 2017: 1-23.
[30] Moreno-García P., Dos Santos J. V. A., Lopes H., 2017, A review and study on Ritz Method admissible functions with emphasis on buckling and free vibration of isotropic and anisotropic beams and plates, Archives of Computational Methods in Engineering 2017: 1-31.
[31] ABAQUS, 6.11. User’s manual, Dassault Systemes, 2011.