The buckling of piezoelectric plates on pasternak elastic foundation using higher-order shear deformation plate theories

Mokhtar Ellali, Khaled Amara, Mokhtar Bouazza and Fouad Bourada

Abstract

In this article, an exact analytical solution for mechanical buckling analysis of magnetoelectroelastic plate resting on pasternak foundation is investigated based on the third-order shear deformation plate theory. The in-plane electric and magnetic fields can be ignored for plates. According to Maxwell equation and magnetoelectric boundary condition, the variation of electric and magnetic potentials along the thickness direction of the plate is determined. The von Karman model is exploited to capture the effect of nonlinearity. Navier\'s approach has been used to solve the governing equations for all edges simply supported boundary conditions. Numerical results reveal the effects of (i) lateral load, (ii) electric load, (iii) magnetic load and (iv) higher order shear deformation theory on the critical buckling load have been investigated. These results must be the analysis of intelligent structures constructed from magnetoelectroelastic materials.

Key Words

buckling; piezoelectric; plates; shear deformation theories

Address

Mokhtar Ellali and Fouad Bourada: Smart structures Laboratory, University Centre of Ain Temouchent, Ain Temouchent 46000, Algeria; Department of Civil Engineering, University Centre of Ain Temouchent, Algeria Khaled Amara: Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 22000, Algeria; Department of Civil Engineering, University Centre of Ain Temouchent, Algeria Mokhtar Bouazza: Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 22000, Algeria; Department of Civil Engineering, University of Bechar, Bechar 8000, Algeria

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