Static Analysis of Composite Plates by a Simple Theory Quasi 3-D

I. Klouche Djedid, K. Draiche, M. Driss

Abstract


Abstract: This paper presents a static analysis of laminated composites plates by employing a novel higher-order shear deformation theory with stretching effect (quasi-3D HSDT). This theory accounts for both transverse shear and normal strains effects by a parabolic variation of all displacements through the thickness and satisfies the stress-free boundary conditions on the top and bottom surfaces of the plate without using shear correction factor. The displacement field of the proposed theory has only five unknowns, which is even less than the other existing high-order shear deformation plate theories. The principle of virtual works is used to derive the governing equations and boundary conditions. The closed form solutions are obtained by using Navier procedure for cross-ply laminated composite plates subjected to sinusoidal load for simply supported boundary conditions. The numerical results are compared with those predicted by other theories to show the effects of shear deformation and thickness stretching on displacement and stresses.

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References


Soldatos, K.P. On certain refined theories for plate bending, ASME J. Appl. Mech., 55 (1988) 994-995.

Kant, T.; Swaminathan, K. Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory”, Compos. Struct., 56, (2002) 329-344.

Akavci, S.S. Buckling and free vibration analysis of symmetric and antisymmetric laminated composite plates on an elastic foundation”, J. Reinf. Plast. Compos., 26, (2007) 1907-1919.

Sayyad, A.S.; Ghugal, Y.M. Flexure of cross-ply laminated plates using equivalent single layer trigonometric shear deformation theory;, Structural Engineering and Mechanics, 1(5) (2014) 867-891.

Swain, P.; Adhikari, B.; Dash, P. “A higher-order polynomial shear deformation theory for geometrically nonlinear free vibration response of laminated composite plate, Mech. of Adv. Mater. and Struct., 26(2) (2017) 129–138.

Katariya, P.V.; Panda, S.K.; Mahapatra, T.R.“Bending and vibration analysis of skew sandwich plate”, Aircr. Eng. and Aerosp. Tech., 90 (6) (2018) 885–895.

Zhang, Y. ; Zhang, S. “Free transverse vibration of rectangular orthotropic plates with two opposite edges rotationally restrained and remaining others free, Appl. Sci., , 9(1) (2018) 22.

Sahla, M., Saidi, H.; Draiche, K.; Bousahla, A.A.; Bourada, F.; Tounsi, A. Free vibration analysis of angle-ply laminated composite and soft core sandwich plates, Steel and Compos., Struct., 33(5) (2019) 663–679.

Sayyad, A.S.; Ghugal, Y.M. Static and free vibration analysis of laminated composite and sandwich spherical shells using a generalized higher-order shell theory, Compos. Struct., 219 (2019) 129-146.

Mindlin, R.D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, ASME J. Appl. Mech., (1951), 18, 31-38.

Reddy, J.N. A simple higher order shear deformation theory for laminated composite plates, Journal of Applied Mechanics, 51(4) (1984) 745–753.

Pagano, N.J. Exact solutions for bidirectional composites and sandwich plates, J. Compos. Mater., 4 (1970) 20-34.


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