长沙理工大学学报（自然科学版）2017，Vol.14Issue(4)：55-61,7.
任意梯度分布极正交各向异性空心圆球的热应力
Thermal stresses of polar orthotropic FGM hollow sphere with arbitrary gradient
摘要
Abstract
Thermo-elastic problem of polar orthotropic functionally graded hollow sphere is investigated.Different from previous studies,the thermal mechanical properties are assumed arbitrary function vary along the radial direction.Substituting the hoop stress and radial displacement with radial stress into the equilibrium equation,we can obtain the Fredholm integral equation about the radial stress.Then,the numerical solution of thermal stresses in polar orthotropic functionally graded hollow sphere can be obtained by calculating the Fredholm integral equation.The correctness of the Fredholm integral method are investigated by comparing the numerical solutions with the analytic solution as power-law model.The influences of material gradient index and orthotropic degree on the thermal stress fields are analyzed.The results show that:For given functionally graded hollow sphere subjected by thermal loads,the maximum value of thermal stresses increases with the decrease of gradient index and increase of orthotropic degree.Changing the distribution of material properties can make the internal structure thermal stress uniformity and reduce the overall thermal stresses.关键词
极正交各向异性/任意功能梯度/空心圆球/热应力/Fredholm积分方程方法Key words
Polar orthotropic/arbitrary gradient/hollow sphere/thermal stress/Fredholm integral equation method分类
数理科学引用本文复制引用
彭旭龙,韩德谦,曹思奇,杨建强..任意梯度分布极正交各向异性空心圆球的热应力[J].长沙理工大学学报（自然科学版）,2017,14(4):55-61,7.基金项目
国家自然科学基金资助项目(11202038) （11202038）
湖南省自然科学基金资助项目(2016JJ3002) （2016JJ3002）
