This study explores the thermo-viscoelasticity response of annular disks made of a functionally graded graphene platelet reinforced composite (FG-GPLRC). Random orientation is considered for GPL nanofillers. A power-law model with a controller index is also used to determine the GPL volume fraction distribution along the radial direction. The effective thermomechanical properties of the nanocomposite medium are calculated through the one-point and two-point correlation homogenization processes. The Kelvin-Voigt technique is employed to design the viscosity nature of the system. Coupled thermoelasticity is considered to attain the governing formulation because the considered disk is subjected to a sudden high temperature. Furthermore, by incorporating generalized thermoelasticity based on the Lord-Shulman concept, the physical structure of the problem is altered. The transient governing equations are solved based on a hybrid approach. The spatial dependency is solved using a Chebyshev-based generalized differential quadrature (GDQ) method, while the time dependency is calculated using an average acceleration-based Newmark technique. After confirming the described formulation and method with previous research, different parametric samples are given to explain more about the behavior of viscoelastic nanocomposite disks that are heated quickly and rotated at a constant rate.

本研究探讨了由功能梯度石墨烯薄片增强复合材料 (FG-GPLRC) 制成的环形盘的热粘弹性响应。GPL 纳米填料考虑随机取向。具有控制器指数的幂律模型也用于确定 GPL 沿径向的体积分数分布。通过单点和两点相关均质化过程计算纳米复合介质的有效热机械性能。Kelvin-Voigt 技术用于设计系统的粘度特性。耦合热弹性被认为是获得控制公式，因为所考虑的磁盘受到突然的高温。此外，通过结合基于 Lord-Shulman 概念的广义热弹性，问题的物理结构被改变。基于混合方法求解瞬态控制方程。空间相关性使用基于切比雪夫的广义微分求积 (GDQ) 方法求解，而时间相关性使用基于平均加速度的 Newmark 技术计算。在与之前的研究确认了所描述的配方和方法之后，给出了不同的参数样本来解释更多关于快速加热并以恒定速率旋转的粘弹性纳米复合圆盘的行为。