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首页> 外文期刊>Journal of thermal stresses >Variable thermal conductivity and diffusivity impact on forced vibrations of thermodiffusive elastic plate
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Variable thermal conductivity and diffusivity impact on forced vibrations of thermodiffusive elastic plate

机译：可变导热性和散射效应对热电偶的强制振动的影响

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摘要

The purpose of this article is to determine the effect of variable thermal conductivity and diffusivity on the transient response of thermoelastic diffusion plate in the light of two-temperature fractional-order generalized thermoelasticity. The boundary of the plate is designed as mechanical, concentration and ramp type thermal loadings on one side and rigidly fixed, insulated and impermeable on the other side. Consideration of variable thermal conductivity and diffusivity as linear functions of thermodynamic temperature and concentration, respectively, leads to non-linear equations of heat conduction and mass diffusion, which are transformed into a linear form by introducing Kirchhoff's transformation. Linear governing equations obtained are solved by using the Laplace-Fourier transform technique. In the transform space, the closed form of expressions for conductive and thermodynamic temperatures, displacement and stress components, concentration and chemical potential are obtained. The mathematical inversion technique is employed to invert the Laplace and Fourier transform, and numerical results are obtained for various quantities for copper material. The numerically obtained solutions are depicted graphically to illustrate the impact of various considered parameters on conductive and thermodynamic temperature, normal stress and mass concentration.
机译：本文的目的是根据两种温度分数通用热弹性，确定可变导热性和扩散性对热弹性漫射板的瞬态响应的影响。板的边界设计为机械，浓度和斜坡型热载体，在一侧并在另一侧刚性地固定，绝缘和不可渗透。考虑可变导热性和扩散性作为热力学温度和浓度的线性函数，导致导热和质量扩散的非线性方程，通过引入Kirchhoff的转化来转化为线性形式。通过使用拉普拉斯傅里叶变换技术来解决所获得的线性控制方程。在变换空间中，获得用于导电和热力学温度，位移和应力分量，浓度和化学电位的封闭形式的表达式。使用数学反演技术来反转拉普拉斯和傅立叶变换，并且为铜材料的各种量获得数值结果。图以图形方式描绘了数值获得的溶液以说明各种考虑参数对导电和热力学温度，正常应力和质量浓度的影响。

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