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IssuesArchive of Issues2025-7pp.6138-6159

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Fei Zhao, Xiaotian Li, Bo Zhou, Xiuxing Zhu, Peng Jia, and Haijing Wang, "Nonlinear Behavior Analysis of Lead Zirconate Titanate/Shape Memory Polyurethane Composite Beam," Mech. Solids. 60 (7), 6138-6159 (2025)
Year 2025 Volume 60 Number 7 Pages 6138-6159
DOI 10.1134/S0025654425604641
Title Nonlinear Behavior Analysis of Lead Zirconate Titanate/Shape Memory Polyurethane Composite Beam
Author(s) Fei Zhao (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Xiaotian Li (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Bo Zhou (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China, zhoubo@upc.edu.cn)
Xiuxing Zhu (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Peng Jia (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Haijing Wang (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Abstract Shape memory polymers (SMPs) and lead zirconate titanate (PZT) have unique properties in intelligent structures. PZT/SMP composites, integrating their advantages, show broad application prospects. However, research on accurately characterizing their electromechanical coupling performance is lacking. In this paper, a mechanical model containing kinematic and material parameter equations is established to study the electromechanical coupling (EMC) performance of PZT/SMP composite beams. Based on constitutive equations of the composite, combined with Euler-Bernoulli beam theory and Hamilton’s principle, considering kinetic energy, strain energy, external force work, and electric field work, the kinematic equations are established. By integrating material parameter equations of SMP with composite mechanics theory and considering transversely isotropic characteristics of PZT, the material parameter equations are developed. Taking a simply supported beam as example, the constructed model was used to solve and conduct simulation analysis on it. The forceelectrical response characteristics of the composite beam under different PZT particles volume fractions were thoroughly investigated, as well as the EMC performance between its piezoelectric effect and viscoelastic mechanical behavior. The research results indicate that the changes in the viscoelastic mechanical behavior of the composite beam are basically synchronized with the changes in the piezoelectric effect. In addition, when the volume fraction of PZT particles increases, the improvement amplitude of the mechanical properties of the composite beam is greater than that of the piezoelectric properties. Notably, during this process, the viscous deformation rate of the composite beam decreases, while its deformation amplitude remains basically stable. This study provides a solid theoretical support for the design and analysis of intelligent structures based on PZT/SMP.
Keywords PZT/SMP composite beam, mechanical model, piezoelectric effect, shape memory effect, thermos-viscoelastic mechanical behavior
Received 30 August 2025Revised 22 October 2025Accepted 23 October 2025
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