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IssuesArchive of Issues2025-5pp.4079-4102

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Kangjian Wang and Man Zhou, "Lord-Shulman Piezoelectric Thermoelasticity Model with Cubic-Polynomial Temperature-Dependent Material Properties and Two-Dimensional Structural Dynamic Impact Responses," Mech. Solids. 60 (5), 4079-4102 (2025)
Year 2025 Volume 60 Number 5 Pages 4079-4102
DOI 10.1134/S0025654425602344
Title Lord-Shulman Piezoelectric Thermoelasticity Model with Cubic-Polynomial Temperature-Dependent Material Properties and Two-Dimensional Structural Dynamic Impact Responses
Author(s) Kangjian Wang (School of Architectural Engineering and Art Design, Suzhou Vocational Institute of Industrial Technology, Suzhou, Jiangsu, 215104 China, wangkjw@163.com)
Man Zhou (School of Architectural Engineering and Art Design, Suzhou Vocational Institute of Industrial Technology, Suzhou, Jiangsu, 215104 China; School of Civil Engineering, Wuhan University, Wuhan, 430072 China, civilzm1988@163.com)
Abstract The transient impact response of piezoelectric structures in ultrafast heating condition is critical for lowering unwanted vibrations in the smart sensors/actuators energy harvester systems, whereas the experimental validated cubic-polynomial temperature-dependent material properties are still not considered on this topic. To address this issue, this paper aims to establish the Lord-Shulman (L-S) piezoelectric thermoelasticity model with the cubic-polynomial temperature-dependent material properties. To solve the nonlinear governing equations, the nonlinear time-domain finite element method is developed. The proposed model and numerical approach are applied to investigate transient thermo-electromechanical impact responses of two-dimensional orthotropic piezoelectric plate of crystal class mm2. Dimensionless results indicate that the cubic-polynomial temperature-dependent parameters greatly influence the nonlinear transient thermo-electromechanical responses, lifting the electrical energy harvesting capability and heat wave propagation in the orthotropic piezoelectric plate.
Keywords L-S piezoelectric thermoelasticity model, Thermo-electromechanical coupling, Cubic-polynomial temperature-dependent material properties, Nonlinear transient impact thermo-electro-mechanical responses, Two-dimensional orthotropic piezoelectric plate, Finite element method
Received 09 May 2025Revised 11 July 2025Accepted 12 July 2025
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