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Vol.45, No.5, pp.677-691

DOI: http://dx.doi.org/10.12989/sem.2013.45.5.677


Pressure loading, end- shortening and through- thickness shearing effects on geometrically nonlinear response of composite laminated plates using higher order finite strip method

Mohammad H. Sherafat, Seyyed Amir M. Ghannadpour and Hamid R. Ovesy

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Abstract
A semi-analytical finite strip method is developed for analyzing the post-buckling behavior of rectangular composite laminated plates of arbitrary lay-up subjected to progressive end-shortening in their plane and to normal pressure loading. In this method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. Thin or thick plates are assumed and correspondingly the Classical Plate Theory (CPT) or Higher Order Plate Theory (HOPT) is applied. The in-plane transverse deflection is allowed at the loaded ends of the plate, whilst the same deflection at the unloaded edges is either allowed to occur or completely restrained. Geometric non-linearity is introduced in the strain–displacement equations in the manner of the von-Karman assumptions. The formulations of the finite strip methods are based on the concept of the principle of the minimum potential energy. The Newton–Raphson method is used to solve the non-linear equilibrium equations. A number of applications involving isotropic plates, symmetric and unsymmetric cross-ply laminates are described to investigate the through-thickness shearing effects as well as the effect of pressure loading, end-shortening and boundary conditions. The study of the results has revealed that the response of the composite laminated plates is particularly influenced by the application of the Higher Order Plate Theory (HOPT) and normal pressure loading. In the relatively thick plates, the HOPT results have more accuracy than CPT.
Keywords
post-buckling; pressure load; Classical Plate Theory (CPT); Higher Order Plate Theory (HOPT); Finite Strip Method (FSM); composite laminated plates
Address
Mohammad H. Sherafat: Department of Mechanical Engineering, McGill University, 817Sherbrooke West, Montreal, Canada H3A 2K6 Seyyed Amir M. Ghannadpour: Aerospace Engineering Department, Faculty of New Technologies and Engineering, ShahidBeheshti University, G.C, 1983963113 Tehran, Iran Hamid R. Ovesy: Aerospace Engineering Department and Centre of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran