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首页> 外文期刊>Materials & design >Reliability of stress field in A1-Al_2O_3 functionally graded thick hollow cylinder subjected to sudden unloading, considering uncertain mechanical properties
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Reliability of stress field in A1-Al_2O_3 functionally graded thick hollow cylinder subjected to sudden unloading, considering uncertain mechanical properties

机译：考虑到不确定的机械性能，A1-Al_2O_3功能梯度厚空心圆筒在突然卸载时应力场的可靠性

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摘要

In this paper, the reliability analysis and safety evaluation of dynamic stresses are presented for Al-Al_2O_3 functionally graded (FG) thick hollow cylinder subjected to sudden unloading as a mechanical shock loading. The FG cylinder is considered to have infinite length and axisymmetry conditions. The constitutive mechanical properties of Al and Al_2O_3 are assumed as random variables with Gaussian distribution and also the mechanical properties are considered to vary across thickness of FG cylinder as a non-linear power function of radius. The radial and hoop stresses are obtained by solving Navier equation in displacement form and stress-displacement equations. The FG cylinder is divided to many linear functionally graded elements across thickness of cylinder and hybrid numerical method (Galerkin finite element and Newmark finite difference methods) along with the Monte Carlo simulation are employed to solve the statistical problem. The reliability of radial and hoop stresses are calculated in various points across thickness for different grading patterns in functionally graded material (FGM) and several yield stresses. The variability of the dynamic stress reliability of the FG cylinder to the values of coefficients of variation (COVs) is examined and discussed in details.
机译：本文对功能性梯度Al-Al_2O_3功能梯度（FG）空心圆柱体作为机械冲击载荷的突然卸载进行了动态应力的可靠性分析和安全性评估。 FG圆柱体被认为具有无限的长度和轴对称条件。 Al和Al_2O_3的本构力学性能被假定为具有高斯分布的随机变量，并且该力学性能也被视为在FG圆柱体的整个厚度上随半径的非线性幂函数而变化。径向应力和环向应力是通过求解位移形式的Navier方程和应力位移方程获得的。 FG圆柱体在圆柱体的整个厚度上分为许多线性的功能梯度元素，并采用混合数值方法（Galerkin有限元和New​​mark有限差分法）以及蒙特卡罗模拟来解决统计问题。对于功能梯度材料（FGM）中的不同梯度模式和几个屈服应力，将在整个厚度的各个点计算径向和环向应力的可靠性。研究并详细讨论了FG气缸的动态应力可靠性随变异系数（COVs）值的变化。

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