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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-4pp.2424-2439

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L.Y. Yang and C.C. Du, "Electromechanical Coupling Characteristics of Functionally Graded Piezoelectric Ceramic Beam," Mech. Solids. 59 (4), 2424-2439 (2024)
Year 2024 Volume 59 Number 4 Pages 2424-2439
DOI 10.1134/S0025654424604610
Title Electromechanical Coupling Characteristics of Functionally Graded Piezoelectric Ceramic Beam
Author(s) L.Y. Yang (South West Petroleum University, Chengdu, Sichuan, 610500 China, 44272141@qq.com)
C.C. Du (South West Petroleum University, Chengdu, Sichuan, 610500 China, ducc1982@163.com)
Abstract The tremendous attention of researchers has been attracted to the unusual properties of piezoelectric ceramic materials. A semi-analytical approach to estimate the electromechanical coupling characteristics of multilayered functionally graded piezoelectric ceramic beams with different boundary conditions is presented. The state space method is formulated to the electroelastic theory to derive the state equations for ceramic beams along the thickness direction. The mixed supported boundary conditions are represented by means of the displacement function and Fourier series expansions, respectively. A global propagator matrix is used to connect the field variables at the internal interface to those at the external interface for the whole structure. Governing equations of the models with geometrical nonlinearity are solved using the secant method. Numerical examples show the correctness of the proposed method by finite element model and the influence of the functional gradient index factors η, different boundary conditions, and loading voltage on the static behavior of piezoelectric ceramic beams. Our results show that the modified state space approach overcomes the disadvantage of the inability to address clamped supported and free boundary conditions. η possesses the ability to improve interfacial stress discontinuities.
Keywords piezoelectric ceramic beam, functionally graded materials, different boundary conditions, electromechanical characteristics
Received 12 July 2024Revised 13 September 2024Accepted 14 September 2024
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