This work investigates, using the Laplace transforms, the influence of thermal relaxation time in the piezo-thermoelastic rod under pulse heat flux. For the piezoelectric medium, the generalized piezothermoelastic fundamental equations are developed. The analytical solutions are expressed in the transformation domain using Laplace transforms. Laplace transforms are presented to solve the problem’s governing equations, removing the time impact and yielding analytical solutions for the temperature, electric field, displacement, and stresses in the Laplace domain. The time domain solutions of the variables under consideration are then found using numerical Laplace inversion and visually shown. The effects of the thermal time, pulse heating flux characteristic time, and constant heat flux are studied in a piezoelectric thermoelastic medium. The figures show that the thermal time, pulse heating flux characteristic time, and constant heat flux play significant roles in determining the values of all physical quantities.

中文翻译：

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受脉冲热通量作用的压电棒中的广义压热弹性相互作用


这项工作使用拉普拉斯变换研究了脉冲热通量下压电热弹性棒中热弛豫时间的影响。对于压电介质，开发了广义压热弹性基本方程。解析解在变换域中使用 Laplace 变换表示。提出了拉普拉斯变换来求解问题的控制方程，消除了时间影响，并产生了拉普拉斯域中温度、电场、位移和应力的解析解。然后使用数值拉普拉斯反演找到所考虑的变量的时域解，并直观地显示出来。在压电热弹性介质中研究了热时间、脉冲热通量特征时间和恒定热通量的影响。这些数字表明，热时间、脉冲加热通量特征时间和恒定热通量在确定所有物理量的值中起着重要作用。