具有记忆效应的功能梯度压电棒的非局部热弹性响应

IF 2.5 3区 工程技术 Q2 MECHANICS
Zheng Wan, Yixin Zhang, Lixu Chen, Yongbin Ma
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引用次数: 0

摘要

考虑热传导记忆和尺寸依赖效应,研究了功能梯度压电棒的热弹性动态响应。与传统模型不同,这个模型允许热波以有限的速度传播,摩尔-吉布森-汤普森方程是一个关键组成部分。通过在热传导方程中加入两个额外的松弛时间,并在本构方程中引入klein - gordon型非局部弹性理论,该模型有效地捕获了小尺度相互作用。利用该模型对压电杆的一维热-机械响应进行了分析。导出了变换后的热物理场在拉普拉斯变换域中的解析表达式。在此基础上,应用数值反演方法在物理域求解,阐明了各种物理参数的影响。这些发现适用于开发各种热/压电器件,如传感器和陀螺仪与压电元件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlocal thermoelastic response of functionally graded piezoelectric rod with memory-dependent effects

This paper investigates the thermoelastic dynamic response of a functionally graded piezoelectric rod, accounting for thermal conduction memory and size-dependent effects. Unlike conventional models, this one permits thermal waves to propagate at a finite speed, with the Moore–Gibson–Thompson equation being a key component. By incorporating two additional relaxation times into the thermal conduction equation and introducing Klein–Gordon-type nonlocal elastic theory in the constitutive equation, the model effectively captures small-scale interactions. Using this model, the one-dimensional thermo-mechanical response of a piezoelectric rod was analyzed. Analytical expressions for the transformed thermophysical fields were derived in the Laplace transform domain. Numerical inversion methods were then applied to obtain solutions in the physical domain, elucidating the effects of various physical parameters. These findings are applicable to the development of various pyro/piezoelectric devices, such as sensors and gyroscopes with piezoelectric components.

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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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