Abstract.
In the present study optimal design of composite laminates, with and without rectangular cut-out, is carried out for maximizing the buckling load. Optimization study is carried out for obtaining the maximum buckling load with design variables as ply thickness, cut-out size and orientation of cut-out with respect to laminate. Buckling load is evaluated using a ‘simple higher order shear deformation theory’ based on four unknown displacements u, v, w b and w s . A C1 continuous shear flexible finite element based on HSDT model is developed using Hermite cubic polynomial. It is observed that for thick anti-symmetric laminates, the non-dimensional buckling load decreases with increase in aspect ratio and increase in fibre orientation angle. There is a decrease in the non-dimensional buckling load of symmetric laminate in the presence of cut-out.
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References
Anil V 2004 Stability analysis of composite laminates with and without cut-out. M.Tech Thesis, Indian Institute of Technology, Kanpur, India
Bogner F K, Fox R L, Schmit L A 1966 The generation of inter element compatible stiffness and mass matrices by the use of a interpolation formula. Matrix Methods in Structural Mechanics 397–444
Callahan J K, Weeks E G 1992 Optimum design of composite laminates using genetic algorithm. Compos. Eng. 2: 149–160
Chakraborty A 2003 Stability analysis of composite laminates using simple higher order shear deformation theory. M.Tech Thesis, Indian Institute of Technology, Kanpur, India
Deb K 2001 Multi-objective optimization using evolutionary algorithms. John Wiley and Sons
Goldberg D D 1989 Genetic algorithm in search, optimization, and machine learning. Addison–Wesley
Hui D 1984 Shear buckling of anti-symmetric cross-ply rectangular plates. Fibre Sci. Technol. 21: 327
Jain P, Kumar A 2003 Post buckling response of square laminates with a central circular/elliptical cutout. Comput. Struct. 65: 119–125
Jones R M 1975 Mechanics of composite materials. Philadelphia, PA: Taylor & Francis, Second Edition
Kogiso M, Watson L T, Gurdal L, Hftka R T, Nagendra S 1994 Design of composite laminates by a genetic algorithm with memory. Mech. Compos. Mater. Struct. 1: 95–117
Leissa A W 1981 Advances in vibration, buckling and post buckling studies in composite plates, composite structures. Proceedings I st International Conference on Composite Structures, London: Applied Science Publishers, 312–334
Leissa A W 1987 A review of laminated composite plate buckling. Appl. Mech. Rev. 40: 5
Lim S P, Lee K H, Chow S T, Senthilnathan R N 1988 Linear and nonlinear bending of shear deformable plates. Comput. Struct. 30: 945–952
Muc A, Gurba W 2001 Genetic algorithms and finite element analysis in optimization of composite structures. Compos. Struct. 54: 275–281
Nagendra S, Haftka R T, Gurdal Z 1992 Stacking sequence optimization of simply supported laminates with stability and strain constraints. J AIAA 30: 2132–2137
Paul C 1998 An introduction to genetic algorithms for numerical optimization. Mini-Workshop on Numerical Methods in Astrophysics, Oslo
Prabhakara D L, Datta P K 1997 Vibration, buckling and parametric instability of plates with centrally located cutouts subjected to in-plane edge loading (tension and compression). Thin Walled Struct. 27: 443–470
Reddy J N 1984 A simple higher order theory for laminated composite plates. J. Appl. Mech. 51: 745–752
Reddy J N 1990 A general non-linear third-order theory of plates with moderate thickness. Int. J. Nonlinear Mech. 25: 677–686
Reddy J N 2004 Mechanics of laminated composite plates and shells: Theory and analysis. Boca Raton, FL: CRC Press, Second Edition
Reddy J N 2006 An introduction to finite element method. McGraw-hill, Third Edition
Reissner E 1945 The effect of rotary inertia and shear on flexure motion of isotropic plates. J. Appl. Mech. 12, A69–77
Singh G 1993 Nonlinear bending, vibration and buckling of composite beams and plates. Ph.D. Thesis, Indian Institute of Technology, Kanpur, India
Sivakumar K, Iyengar N G R, Deb K 1999 Optimum design of laminated composite plates undergoing large amplitude oscillations. Appl. Compos. Mater. 6: 87–98
Srivatsa K S, Murthy A V K 1991 Stability of laminated composite plates with cut-outs. Comput. Struct. 43: 213–219
Vyas N 2005 Optimal design of composite laminates subjected to in-plane compressive loads. M.Tech Thesis, Indian Institute of Technology, Kanpur
Whitney J M 1969 The effect of transverse shear deformation on the bending of laminated plates. J. Compos. Mater. 3: 534–547
Whitney J M, Pagano N J 1970 Shear deformation in heterogeneous anisotropic plates. J. Appl. Mech. 37: 1031–1036
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IYENGAR, N.G.R., VYAS, N. Optimum design of laminated composite under axial compressive load. Sadhana 36, 73–85 (2011). https://doi.org/10.1007/s12046-011-0009-5
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DOI: https://doi.org/10.1007/s12046-011-0009-5