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首页> 外文期刊>Materials Focus >Three-Dimensional Generalized Thermoelasticity with Fractional Order Heat Conduction of a Half-Space Subjected to Rectangular Thermal Pulse: State-Space Approach
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Three-Dimensional Generalized Thermoelasticity with Fractional Order Heat Conduction of a Half-Space Subjected to Rectangular Thermal Pulse: State-Space Approach

机译：具有矩形热脉冲的半空间具有分数阶导热的三维广义热弹性：状态空间法

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摘要

In this paper, a mathematical model of three-dimensional generalized thermoelasticity with fractional order heat conduction has been improvement. The non-dimensional governing equations together with the Laplace and double Fourier transform techniques have been applied to a three-dimensionalhalf-space subjected to rectangular thermal pulse and traction free surface. The inverses of double Fourier transforms and Laplace transforms have been obtained numerically by using a complex inversion formula of the transform with the techniques of the Fourier expansion. Numerical resultsfor the strain, thermal stress, displacement, and temperature are represented graphically based on various values of the heat conduction fractional order parameter to stand on its effect on the thermo-mechanical waves. The fractional order parameter of the heat conduction has significant effectson the thermal and the mechanical waves.
机译：本文对具有分数阶热传导的三维广义热弹性数学模型进行了改进。将无量纲控制方程与拉普拉斯（Laplace）和双重傅立叶变换技术一起已应用于经受矩形热脉冲和无牵引力表面的三维半空间。通过使用傅立叶展开技术的复杂的逆变换公式，可以得到双傅立叶变换和拉普拉斯变换的逆值。基于热导率分数阶参数的各种值，以图形方式表示了应变，热应力，位移和温度的数值结果，以反映其对热机械波的影响。热传导的分数阶参数对热波和机械波具有重要影响。

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