In this paper, the propagation of stress waves in thick porous graphene-reinforced cylinders (TPGRCs) is investigated using a meshless solution based on an axisymmetric model and moving least squares (MLSs) interpolation functions. The cylinders are assumed under a steady state thermal gradient effect along with an initial deflection response obtained from the static solution of the same cylinder subjected to a static internal pressure. To improve the design of such TPGRCs, functionally graded (FG) profiles are considered for the distribution of graphene nanofillers along their radial direction. Moreover, pores are non-uniformly embedded inside the cylinders to decrease the weight of TPGRCs. The material properties of porous and nanocomposite materials are calculated as functions of temperature using a closed cell model and a modified Halpin-Tsai (HS) technique, respectively. Considering structural damping for the system, the influences of embedding porosity, the temperature of each surface, reinforcing with graphene and the thickness of cylinder on the stress wave responses of TPGRCs have been investigated. The results reveal that the increase of porosity volume inside TPGRCs significantly increases the amplitudes and stationary time of deflections; however, it reduces the values of stationary deflections and stresses, along with the reduction of propagation speeds.

在本文中，使用基于轴对称模型和移动最小二乘（MLSs）插值函数的无网格解决方案，研究了应力波在厚多孔石墨烯增强圆柱体（TPGRC）中的传播。假设圆柱体在稳态热梯度效应下以及从相同圆柱体的静态内部静压力获得的初始挠度响应中得出。为了改进此类TPGRC的设计，考虑了功能梯度（FG）轮廓用于石墨烯纳米填料沿其径向方向的分布。此外，孔不均匀地嵌入圆柱体内，以减轻TPGRC的重量。分别使用闭孔模型和改进的Halpin-Tsai（HS）技术，计算多孔和纳米复合材料的材料特性作为温度的函数。考虑到系统的结构阻尼，研究了孔隙率，每个表面的温度，石墨烯补强和圆柱体厚度对TPGRCs应力波响应的影响。结果表明，TPGCRC内部孔隙体积的增加显着增加了挠度的振幅和稳定时间；但是，它减小了固定挠度和应力的值，并降低了传播速度。研究了石墨烯增强和圆柱体厚度对TPGRCs应力波响应的影响。结果表明，TPGCRC内部孔隙体积的增加显着增加了挠度的振幅和稳定时间；但是，它减小了固定挠度和应力的值，并降低了传播速度。研究了石墨烯增强和圆柱体厚度对TPGRCs应力波响应的影响。结果表明，TPGCRC内部孔隙体积的增加显着增加了挠度的振幅和稳定时间；但是，它减小了固定挠度和应力的值，并降低了传播速度。