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Analysis of wave propagation in functionally graded piezoelectric composite plates reinforced with graphene platelets
Institution:1. Laboratory of Mechanics, Physics, Mathematical Modeling (LMP2M), University of Medea, Algeria;2. Laboratory of Applied Automation and Industrial Diagnostic (LAADI), University of Djelfa, Algeria;3. Freelance Researcher in the field of Composite Materials and Structures, 13014 Marseille, France;4. Mechanical Engineering and Development Laboratory (LGMD), Ecole Nationale Polytechnique, Algeria;1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, PR China;2. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China;1. Centre for Infrastructure Engineering and Safety (CIES), School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;2. State Key Laboratory of Fluid Power & Mechatronic Systems, Zhejiang University, Hangzhou 310027, China;3. Wuhan University of Technology, Key Lab Roadway Bridge & Structure Engineering, Wuhan, Hubei 430070, China
Abstract:This paper presents a semi-analytical approach to investigate wave propagation characteristics in functionally graded graphene reinforced piezoelectric composite plates. Three patterns of graphene platelets (GPLs) describe the layer-wise variation of material properties in the thickness direction. Based on the Reissner-Mindlin plate theory and the isogeometric analysis, elastodynamic wave equation for the piezoelectric composite plate is derived by Hamilton’s principle and parameterized with the non-uniform rational B-splines (NURBS). The equation is transformed into a second-order polynomial eigenvalue problem with regard to wave dispersion. Then, the semi-analytical approach is validated by comparing with the existing results and the convergence on computing dispersion behaviors is also demonstrated. The effects of various distributions, volume fraction, size parameters and piezoelectricity of GPLs as well as different geometry parameters of the composite plate on dispersion characteristics are discussed in detail. The results show great potential of graphene reinforcements in design of smart composite structures and application for structural health monitoring.
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