A New Perturbation Technique in Numerical Study on Buckling of Composite Shells under Axial Compression

Authors: Zia R. Tahir, P. Mandal

Abstract:

A numerical study is presented on buckling and post buckling behaviour of laminated carbon fiber reinforced plastic (CFRP) thin-walled cylindrical shells under axial compression using asymmetric meshing technique (AMT). Asymmetric meshing technique is a perturbation technique to introduce disturbance without changing geometry, boundary conditions or loading conditions. Asymmetric meshing affects predicted buckling load, buckling mode shape and post-buckling behaviour. Linear (eigenvalue) and nonlinear (Riks) analyses have been performed to study the effect of asymmetric meshing in the form of a patch on buckling behaviour. The reduction in the buckling load using Asymmetric meshing technique was observed to be about 15%. An isolated dimple formed near the bifurcation point and the size of which increased to reach a stable state in the post-buckling region. The load-displacement curve behaviour applying asymmetric meshing is quite similar to the curve obtained using initial geometric imperfection in the shell model.

Keywords: CFRP Composite Cylindrical Shell, Finite Element Analysis, Perturbation Technique, Asymmetric Meshing Technique, Linear Eigenvalue analysis, Non-linear Riks Analysis

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1330197

References:

[1] H. Kim, K.T. Kedward, A method for modeling the local and global buckling of delaminated composite plates, Composite Structures, 44 (1999) 43-53.
[2] M. Cai, M.F.G. Holst, J.M. Rotter, Buckling strength of thin cylindrical shells under localized axial compression, in: 15th ASCE Engineering Mechanics Conference, Columbia University, New York, NY, 2002, pp. 1-8.
[3] A. Tafreshi, Buckling and post-buckling analysis of composite cylindrical shells with cutouts subjected to internal pressure and axial compression loads, International Journal of Pressure Vessels and Piping, 79 (2002) 351-359.
[4] H. Han, J. Cheng, F. Taheri, N. Pegg, Numerical and experimental investigations of the response of aluminum cylinders with a cutout subject to axial compression, Thin-Walled Structures, 44 (2006) 254- 270.
[5] H.E. Estekanchi, A. Vafai, On the buckling of cylindrical shells with through cracks under axial load, Thin-Walled Structures, 35 (1999) 255- 274.
[6] A. Vaziri, On the buckling of cracked composite cylindrical shells under axial compression, Composite Structures, 80 (2007) 152-158.
[7] B. Prabu, A.V. Raviprakash, A. Venkatraman, Parametric study on buckling behaviour of dented short carbon steel cylindrical shell subjected to uniform axial compression, Thin-Walled Structures, 48 (2010) 639-649.
[8] R.M. Jones, Buckling of Bars, Plates, and Shells, Bull Ridge Corporation, 2006.
[9] A.B. Sabir, A.C. Lock, The applications of finite elements to large deflection geometrically nonlinear behaviour of cylindrical shells, in: C.A. Brebbia, H. Tottenham (Eds.) Variational Methods in Engineering, Southampton University Press, University of Southampton, Southampton, GB, 1972.
[10] B.L. Wardle, Buckling and damage resistance of transversely loaded composite shells, in: Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, 1998.
[11] B.L. Wardle, Solution to the Incorrect Benchmark Shell-Buckling Problem, AIAA Journal, 46 (2008) 381-387.
[12] B.L. Wardle, P.A. Lagace, M.A. Tudela, Buckling response of transversely loaded composite shells, Part 2: Numerical Analysis, AIAA Journal, 42 (2004) 1465-1473.
[13] T. Zhang, W. Gu, The Secondary Buckling and Design Criterion of Composite Laminated Cylindrical Shells, Applied Composite Materials, 19 (2012) 203-217.
[14] Z.R. Tahir, P. Mandal, Effect of Asymmetric Meshing on the Buckling of Composite Laminated Shells, in: International Conference on Advanced Modeling and Simulation, Rawalpindi, Pakistan, 2011, pp. 51-55.
[15] E.T. Hambly, C.R. Calladine, Buckling experiments on damaged cylindrical shells, International Journal of Solids and Structures, 33 (1996) 3539-3548.
[16] P. Mandal, C.R. Calladine, Buckling of thin cylindrical shells under axial compression, International Journal of Solids and Structures, 37 (2000) 4509-4525.
[17] E.R. Lancaster, C.R. Calladine, S.C. Palmer, Paradoxical buckling behaviour of a thin cylindrical shell under axial compression, International Journal of Mechanical Sciences, 42 (2000) 843-865.
[18] C. Bisagni, Experimental Buckling of Thin Composite Cylinders in Compression, AIAA Journal, 37 (1999) 276-278.
[19] K.J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice Hall, New Jersey, 1982.
[20] ABAQUS, Theory and user's manuals, in: Hibbitt, Karlsson, Sorensen. (Eds.), Providence, 2010.
[21] C. Bisagni, Numerical analysis and experimental correlation of composite shell buckling and post-buckling, Composites Part B: Engineering, 31 (2000) 655-667.
[22] E. Riks, An incremental approach to the solution of snapping and buckling problems, International Journal of Solids and Structures, 15 (1979) 529-551.
[23] E. Zhu, P. Mandal, C.R. Calladine, Buckling of thin cylindrical shells: an attempt to resolve a paradox, International Journal of Mechanical Sciences, 44 (2002) 1583-1601.