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Structural Engineering and Mechanics Volume 44, Number 1, October10 2012 , pages 15-34 DOI: https://doi.org/10.12989/sem.2012.44.1.015 |
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Analytical solution for bending analysis of soft-core composite sandwich plates using improved high-order theory |
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M.M. Kheirikhah, S.M.R. Khalili and K. Malekzadeh Fard
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| Abstract | ||
| In the present paper, an improved high-order theory is used for bending analysis of soft-core sandwich plates. Third-order plate assumptions are used for face sheets and quadratic and cubic functions are assumed for transverse and in-plane displacements of the orthotropic soft core. Continuity conditions for transverse shear stresses at the interfaces as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of the plate are satisfied. Also, transverse flexibility and transverse normal strain and stress of the orthotropic core are considered. The equations of motion and boundary conditions are derived by principle of minimum potential energy. Analytical solution for bending analysis of simply supported sandwich plates under various transverse loads are presented using Navier\'s solution. Comparison of the present results with those of the three-dimensional theory of elasticity and some plate theories in the literature confirms the accuracy of the proposed theory. | ||
| Key Words | ||
| bending analysis; sandwich plate; high-order theory; analytical solution; soft core | ||
| Address | ||
| M.M. Kheirikhah: Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran S.M.R. Khalili: Centre of Excellence for Research in Advanced Materials & Structures, Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran K. Malekzadeh Fard: Department of Structural Engineering and Simulation, Space Research Institute, Tehran-karaj Highway, Tehran, Iran | ||