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首页> 外文期刊>Journal of thermal stresses >Transient hygrothermoelastic response in a porous cylinder subjected to ramp-type heat-moisture loading
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Transient hygrothermoelastic response in a porous cylinder subjected to ramp-type heat-moisture loading

机译：斜坡型热湿载荷作用下多孔圆柱体的瞬态湿热弹性响应

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摘要

The classical theory of heat conduction (Fourier theory) predicts an infinite speed for thermal disturbance propagation, which is physically unrealistic. By extending the classical Fourier heat conduction and Fick's diffusion, this article develops hyperbolic diffusion/heat conduction laws with phase lags of heat/moisture flux to simulate coupled heat-moisture diffusion-propagation behavior with the Defour and Soret effects. A porous cylinder subjected to a ramp-type heating and humidifying at the surface is studied. The Laplace transform is used to obtain a closed-form solution of the temperature, moisture, displacements and stresses in the cylinder. Numerical results are calculated via the inversion of the Laplace transform. Obtained results show that the thermal/moisture relaxation time or phase lag plays a significant role in affecting transient hygrothermoelastic field. For a non-vanishing phase lag, non-Fourier and non-Fickian effects exist and hygrothermal waves have finite propagation speeds. The influences of the phase lag of heat/moisture flux and ramp-type time parameter on the transient response of hygrothermoelastic field are presented graphically. A comparison of the numerical results based on the classical model and the present one is made. The non-Fourier heat conduction and non-Fickian diffusion can effectively avoid the shortcomings induced by the classical Fourier and Fick laws.
机译：经典的热传导理论（傅立叶理论）预测了无限大的热干扰传播速度，这在物理上是不现实的。通过扩展经典的傅立叶热传导和菲克扩散，本文开发了具有热/水分通量相位滞后的双曲线扩散/热传导定律，以模拟具有Defour和Soret效应的热-水分扩散-传播耦合行为。研究了在表面进行倾斜加热和加湿的多孔圆柱体。拉普拉斯变换用于获得圆柱体中温度，湿度，位移和应力的闭合形式的解。通过拉普拉斯变换的反演计算数值结果。所得结果表明，热/湿弛豫时间或相位滞后在影响瞬时湿热弹性场中起着重要作用。对于不消失的相位滞后，存在非傅里叶和非菲克效应，并且湿热波具有有限的传播速度。用图形表示了热/湿通量的相位滞后和斜坡型时间参数对湿热弹性场瞬态响应的影响。比较了基于经典模型和当前模型的数值结果。非傅里叶热传导和非菲克扩散可以有效地避免经典傅里叶和菲克定律引起的缺点。

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