One-dimensional nonlinear model of generalized thermo-electroelasticity

IF 2.2 3区 工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2023-03-29 DOI:10.1007/s00419-023-02403-6
A. F. Ghaleb, Ethar A. A. Ahmed, A. A. Mosharafa
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Abstract

We investigate a one-dimensional restriction of a nonlinear model of thermo-electroelasticity in extended thermodynamics and in the quasi-electrostatic regime (see Ghaleb et al. in Int J Eng Sci 119:29–39, 2017. https://doi.org/10.1016/j.ijengsci.2017.06.010). An additional dependence of the thermal conductivity and the thermal relaxation time on temperature and heat flux is introduced. The aim of the present work is to assess the effect of some quadratic nonlinear couplings between the mechanical, thermal and electric fields. Such couplings are known to have a crucial effect on the stability of the solutions. It is confirmed that there are two speeds of wave propagation of disturbances, the coupled thermoelastic wave and the heat wave. Formulae are provided for both speeds, showing their explicit dependence on temperature, heat flux and electric field. The purely thermal case is briefly considered. The present results may be useful for the description of a broad range of interactions in large polarizable slabs of electro-thermoelastic materials and for the design of such materials.

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广义热电弹性的一维非线性模型
我们研究了扩展热力学和准静电状态下非线性热电弹性模型的一维限制(参见Ghaleb et al. in Int J Eng science 119:29 - 39,2017)。https://doi.org/10.1016/j.ijengsci.2017.06.010)。介绍了热导率和热松弛时间对温度和热通量的依赖性。本工作的目的是评估一些二次非线性耦合之间的机械,热和电场的影响。已知这种耦合对溶液的稳定性有至关重要的影响。证实了扰动有两种传播速度,即耦合热弹性波和热波。给出了两种速度的公式,显示了它们对温度、热流密度和电场的显式依赖。简单地考虑了纯热的情况。目前的结果可能有助于描述电-热弹性材料的大极化板中的广泛相互作用,并有助于这种材料的设计。
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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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