Abstract

Due to importance of exploring novel ways to protect systems from detrimental influences of thermal shock phenomenon, this study aims at analyzing the transient coupled poro/thermoelasticity response of functionally graded CNT reinforced (FG-CNTR) nanocomposite panels surrounded by non-polynomial kind of elastic foundation. In addition to thermal shock, the mentioned nanocomposite structure is subjected to initial mechanical loads in different orientations. As the accuracy of the results is of high prominence to guarantee reliability of the practical designs, the governing equations are developed on the basis of the exact type of elasticity theory known as three-dimensional form. Also, analytical solution is determined by applying Navier approach to solve the governing differential equations for simply-supported boundaries. Energy balance equation is utilized to determine the temperature gradient of the cylindrical panel considering the assumptions that the internal surface is fully isolated and the external one is subjected to thermal shock loading. Modified type of Dunber and Abate’s approach is implemented to inverse the Laplace transform in order to map the response of the system from Laplace into time domain. Convergence of the determined deflection, shear stresses, and temperature versus passing time is analyzed and confirmed. The acquired numerical results elucidate the role of different factors such as mid-radius to thickness ratio, volume-fraction, and scattering pattern of CNT in the transient coupled poro/thermoelasticity response of the FG-CNTR nanocomposite cylindrical panel. As a valuable result, it is found that increasing the volume-fraction of CNT applies negative impacts on the variation of the transverse shear stress.

摘要

由于探索保护系统免受热冲击现象有害影响的新方法的重要性，本研究旨在分析被非多项式弹性基础包围的功能梯度碳纳米管增强（FG-CNTR）纳米复合材料面板的瞬态耦合孔隙/热弹性响应。除了热冲击之外，所提到的纳米复合材料结构还承受不同方向的初始机械载荷。由于结果的准确性对于保证实际设计的可靠性非常重要，因此控制方程是在精确类型的弹性理论（称为三维形式）的基础上开发的。此外，通过应用纳维方法求解简支边界的控制微分方程来确定解析解。考虑到内表面完全隔离且外表面受到热冲击载荷的假设，利用能量平衡方程来确定圆柱形面板的温度梯度。Dunber 和 Abate 方法的改进类型被实现为拉普拉斯逆变换，以便将系统的响应从拉普拉斯映射到时域。分析并确认了所确定的挠度、剪切应力和温度与通过时间的收敛性。获得的数值结果阐明了不同因素（例如碳纳米管的中半径与厚度比、体积分数和散射模式）在 FG-CNTR 纳米复合材料圆柱形面板的瞬态耦合孔隙/热弹性响应中的作用。作为一个有价值的成果，