Abstract

ABSTRACTA geometric nonlinear finite element formulation for piezothermoelastic composite laminates using first-order shear deformation theory (FSDT) is presented to solve mechanically and self-strain loaded smart composite plate buckling problems. Green–Lagrange strain–displacement equations consistent with von Kármán geometric nonlinearity are used. Mixed finite elements using hierarchic Lagrangian interpolation functions are used for the membrane/bending displacements and electric potential variations; transverse shear stress resultants at the Gauss quadrature points use standard Lagrangian functions. Eigenvalue analysis is used to determine the laminate buckling load magnitudes and corresponding mode shapes. A primary purpose of this investigation on the buckling behavior of smart composite plates is to demonstrate the impact of the direct piezoelectric effect. Thermal buckling study includes rectangular and circular plate geometries.

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