Cylindrical rotating components have been of special interest in different industries and due to their wide applications such as grinding wheel, drive shaft; the analyses of elastic and plastic stress and strains have been an interesting topic for investigation. Therefore, in this study an analytical elastic and elasto-plastic solution to evaluate the stress field in axisymmetric thick-double-walled cylindrical hollow shafts made of functionally graded materials and homogeneous layers subjected to pressure, temperature gradient, and angular speed are presented. In the first step, by considering the combined different loading condition, a closed-form analytical thermo-elastic solution for radial and circumferential stresses as well as the normalized effective stresses are presented. Then, the starting radius of the plastic deformation by using a completely elastic solution and a failure criterion is determined. In the second stage, the relations for determining the plastic zone radius as well as the radial, circumferential, and effective stresses in both elastic and plastic zones are obtained for three types of functionally graded layers under different combined loading condition. Finally, it will be shown that by using the functionally graded layer, the stress distribution and consequently the yield pattern in the thick-double-walled cylindrical hollow shaft can be improved.

圆柱旋转组件由于其广泛的应用而在不同行业中引起了广泛的兴趣，例如砂轮，驱动轴，弹性和塑性应力和应变的分析已成为一个有趣的研究课题。因此，在这项研究中，提出了一种分析弹性和弹塑性解决方案，以评估功能梯度材料和均质层所承受的轴对称厚双壁圆柱空心轴在压力，温度梯度和角速度下的应力场。在第一步中，通过考虑组合的不同载荷条件，提出了一种用于径向和周向应力以及归一化有效应力的闭合形式的分析热弹性解决方案。然后，通过使用完全弹性解和破坏准则确定塑性变形的起始半径。在第二阶段中，获得了三种类型的功能梯度层在不同组合载荷条件下确定塑性区半径以及弹性区和塑性区中的径向应力，周向应力和有效应力的关系。最后，将显示出，通过使用功能梯度层，可以改善厚双壁圆柱空心轴中的应力分布并因此改善屈服模式。在不同的组合载荷条件下，获得了三种类型的功能梯度层在弹性和塑性区域的有效应力。最后，将显示出，通过使用功能梯度层，可以改善厚双壁圆柱空心轴中的应力分布并因此改善屈服模式。在不同的组合载荷条件下，获得了三种类型的功能梯度层在弹性和塑性区域的有效应力。最后，将显示出，通过使用功能梯度层，可以改善厚双壁圆柱空心轴中的应力分布并因此改善屈服模式。