Nonlinear zigzag theory for buckling of hybrid piezoelectric rectangular beams under electrothermomechanical loads

Kapuria, S. ; Alam, N. (2005) Nonlinear zigzag theory for buckling of hybrid piezoelectric rectangular beams under electrothermomechanical loads Journal of Engineering Mechanics, 131 (4). pp. 367-376. ISSN 0733-9399

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Official URL: http://ascelibrary.org/doi/abs/10.1061/(ASCE)0733-...

Related URL: http://dx.doi.org/10.1061/(ASCE)0733-9399(2005)131:4(367)

Abstract

A new efficient electromechanically coupled geometrically nonlinear (of von Karman type) zigzag theory is developed for buckling analysis of hybrid piezoelectric beams, under electrothermomechanical loads. The thermal and potential fields are approximated as piecewise linear in sublayers. The deflection is approximated as piecewise quadratic to explicitly account for the transverse normal strain due to thermal and electric fields. The longitudinal displacement is approximated as a combination of third order global variation and a layerwise linear variation. The shear continuity conditions at the layer interfaces and the shear traction-free conditions at the top and bottom are used to formulate the theory in terms of three primary displacement variables. The governing coupled nonlinear field equations and boundary conditions are derived using a variational principle. Analytical solutions for buckling of symmetrically laminated simply supported beams under electrothermal loads are obtained for comparing the results with the available exact two-dimensional (2D) piezothermoelasticity solution. The comparison establishes that the present results are in excellent agreement with the 2D solution which neglects the prebuckling transverse strain effect.

Item Type:Article
Source:Copyright of this article belongs to American Society of Civil Engineers.
ID Code:109773
Deposited On:31 Jan 2018 10:49
Last Modified:31 Jan 2018 10:49

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