Strain gradient elasticity solution for functionally graded micro-cylinders
Strain gradient elasticity solution for functionally graded micro-cylinders
复制标题
DOI：
10.1016/j.ijengsci.2011.09.006
复制
发表时间：
2013-05
影响因子：
6.6
通讯作者：
H. Sadeghi;M. Baghani;R. Naghdabadi
中科院分区：
文献类型：
--
作者：
H. Sadeghi;M. Baghani;R. Naghdabadi
本文提出了一种分析功能梯度微柱的应变梯度弹性公式。假设材料性质在径向上服从幂律。控制微分方程是一个四阶常微分方程。得到了FG微柱在内外压作用下的应力和位移的幂级数解。通过数值算例研究了特征长度参数和FG幂指数对FG柱位移场和应力分布的影响。结果表明，特征长度参数对FG微柱的应力分布有很大的影响。材料长度参数的增加也会导致圆柱体最大径向和切向应力的减小。此外，它表明，FG功率指数有一个显着的最大径向和切向应力的影响。
In this paper, strain gradient elasticity formulation for analysis of FG (functionally graded) micro-cylinders is presented. The material properties are assumed to obey a power law in radial direction. The governing differential equation is derived as a fourth order ODE. A power series solution for stresses and displacements in FG micro-cylinders subjected to internal and external pressures is obtained. Numerical examples are presented to study the effect of the characteristic length parameter and FG power index on the displacement field and stress distribution in FG cylinders. It is observed that the characteristic length parameter has a considerable effect on the stress distribution of FG micro-cylinders. Also, increasing material length parameter leads to decrease of the maximum radial and tangential stresses in the cylinder. Furthermore, it is shown that the FG power index has a significant effect on the maximum radial and tangential stresses.