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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-1pp.182-196

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Pengfei He, Zhilei Ma, and Yongbin Ma, "Nonlinear Finite Element Analysis of Transient Structural Dynamic Impact Thermo-Electromechanical Responses of Two-Dimensional Orthotropic Piezoelectric Plate of Crystal Class Mm2 with Quadratic Temperature-Dependent Thermal Conductivity for Vibration Control," Mech. Solids. 60 (1), 182-196 (2025)
Year 2025 Volume 60 Number 1 Pages 182-196
DOI 10.1134/S0025654424605858
Title Nonlinear Finite Element Analysis of Transient Structural Dynamic Impact Thermo-Electromechanical Responses of Two-Dimensional Orthotropic Piezoelectric Plate of Crystal Class Mm2 with Quadratic Temperature-Dependent Thermal Conductivity for Vibration Control
Author(s) Pengfei He (School of Civil Engineering, Lanzhou University of Technology, Lanzhou, 730050 China, hepf@lut.edu.cn)
Zhilei Ma (School of Civil Engineering, Lanzhou University of Technology, Lanzhou, 730050 China; Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou, 730050 China, 232085901159@lut.edu.cn)
Yongbin Ma (School of Science, Lanzhou University of Technology, Lanzhou, 730050 China, myb_ssy@lut.edu.cn)
Abstract Piezoelectric structure stands as smart sensors (or actuators) in control systems or high-efficient energy harvesters in powering engineering which have aroused significant interests, and the structural dynamic responses analysis is crucial to avoid unwanted vibrations. This work aims to study the transient thermo electromechanical responses of a two-dimensional orthotropic piezoelectric plate of crystal class mm2 with quadratic temperature-dependent thermal conductivity. The nonlinear governing equations are established based on the L-S piezoelectric thermoelasticity, and thermal conductivity is adopted as the quadratic function of the temperature. To solve the nonlinear solutions, the nonlinear time-domain finite element method is developed to directly solve nonlinear finite element governing equations, of which maximally avoids the precision losses within the applications of the integrated transformation method. Numerical results reveal that quadratic temperature-dependent thermal conductivity remarkably affect nonlinear transient thermo-electromechanical responses, whilst the electrical energy harvesting ability and heat wave propagation in orthotropic piezoelectric plate are maximally lifted.
Keywords structural dynamic impact thermo-electromechanical responses, a two-dimensional orthotropic piezoelectric plate of crystal class mm2, quadratic temperature-dependent thermal conductivity, nonlinear finite element method, temperature-rate-dependent piezoelectric thermoelasticity3–10 words, comma separated
Received 18 October 2024Revised 28 December 2024Accepted 30 December 2024
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