Abstract
In this paper, static bending analysis of functionally graded plates with piezoelectric layers has been carried out considering geometrical nonlinearity in different sets of mechanical and electrical loadings. Only the geometrical nonlinearity has been taken into account. The governing equations are obtained using potential energy and Hamilton’s principle. The finite element model is derived based on constitutive equation of piezoelectric material accounting for coupling between elasticity and electric effect by using higher order elements. The present finite element used displacement and electric potential as nodal degrees of freedom. Results are presented for two constituent FGM plate under different mechanical boundary conditions. Numerical results for FGM plate are given in dimensionless graphical forms. Effects of material composition and boundary conditions on nonlinear response of the plate are also studied.
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Bashir Behjat entered the Mechanical Engineering program at the Amirkabir University of Technology. He received his bachelor’s degree, along with a major degree in Solid Mechanics in 2006. After getting as an honored student among the students of the faculty, Bashir Behjat was accepted into the master’s program in the Mechanical Engineering department at Amirkabir University of Technology in 2006. After accepting as a PhD student in Tabriz University in Iran in September 2009, he continued his Ph.D in this university as a researcher in the field of Nonlinear Finite element method and FGPM Materials and now he is associate professor in the Sahnad University of Technology in Sahand, Iran.
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Behjat, B., Khoshravan, M.R. Nonlinear analysis of functionally graded laminates considering piezoelectric effect. J Mech Sci Technol 26, 2581–2588 (2012). https://doi.org/10.1007/s12206-012-0638-6
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DOI: https://doi.org/10.1007/s12206-012-0638-6