Generalized piezoelectric thermoelasticity problems with strain rate and transient thermo‐electromechanical responses analysis,ZAMM - Journal of Applied Mathematics and Mechanics

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Generalized piezoelectric thermoelasticity problems with strain rate and transient thermo‐electromechanical responses analysis
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-02-28 , DOI: 10.1002/zamm.201900067
Chenlin Li ₁ , Huili Guo ₁ , Xiaogeng Tian ₂ , Tianhu He ₃

Affiliation

Piezoelectric materials have become one of the most promising candidates for a new class of smart structures which are widely used as sensors and actuators in control systems due to their superior electromechanical performance and high‐efficiency in electro‐mechanical energy conversion. In recent years, although there are many papers of theoretical modeling of generalized piezoelectric thermoelasticity that considered the piezoelectric‐thermoelastic coupling of piezoelectric structures serving in the extreme fast heating environment (e.g. ultra‐fast laser), the strain relaxation effect has not been considered yet. This work aims to investigate the generalized piezoelectricity problem with strain rate with the aid of extended thermodynamic principles, and corresponding generalized variational theorem is also strictly formulated to provide a complete rationale for numerical method by using semi‐inverse method. For numerical evaluation, transient thermo‐electromechanical responses of a one‐dimensional semi‐infinite piezoelectric medium with one end subjecting to a sudden thermal loading are considered and solved by applying Laplace transformation methods. Then the transient responses of temperature, displacement, strain, stress and electric potential are obtained and illustrated graphically, and the influences of strain relaxation parameters on them are also analyzed and discussed.

中文翻译：

带有应变率和瞬态热机电响应分析的广义压电热弹性问题

压电材料由于其优异的机电性能和高效的机电能量转换，已成为新型智能结构中最有希望的候选者之一，这些智能结构被广泛用作控制系统中的传感器和致动器。近年来，尽管有很多关于广义压电热弹性理论模型的论文，其中都考虑了在极快加热环境下工作的压电结构（例如超快激光）的压电-热弹性耦合，但尚未考虑应变松弛效应。。这项工作旨在借助扩展的热力学原理研究具有应变率的广义压电问题，并严格公式化了相应的广义变分定理，为使用半反方法的数值方法提供了完整的原理。为了进行数值评估，考虑并通过应用拉普拉斯变换方法解决了一维半无限压电介质的瞬态热机电响应，其一端承受突然的热负荷。然后获得了温度，位移，应变，应力和电势的瞬态响应，并进行了图解说明，并分析和讨论了应变松弛参数对其的影响。通过应用拉普拉斯变换方法，考虑并解决了一维半无限压电介质的瞬态热机电响应，其一端承受突然的热负荷。然后获得了温度，位移，应变，应力和电势的瞬态响应，并进行了图解说明，并分析和讨论了应变松弛参数对其的影响。通过应用拉普拉斯变换方法，考虑并解决了一维半无限压电介质的瞬态热机电响应，其一端承受突然的热负荷。然后获得了温度，位移，应变，应力和电势的瞬态响应，并进行了图解说明，并分析和讨论了应变松弛参数对其的影响。

更新日期：2020-02-28

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