Stress analysis of a functional gradient material plate with a circular hole under symmetric loads

Wen-tao Chen, C. Gao, Quanquan Yang
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引用次数: 1

Abstract

This paper is to study the stress distribution of a functional gradient material plate with a circular hole under symmetric load. With using the method of homogenized layer and neglecting the thermal effects on the structure, the solution for the stress distribution of the functional gradient material plate having radial arbitrary elastic modulus is derived based on the known results of a single thick layer cylinder structure, and the continuous conditions of stress and displacement along the interfaces. When the number of the layer N rarr infin, one can obtain an exact solution. But, since the N is taken as a finite number in general cases, so only an approximate solution can be presented. As an example, a functional gradient material plate with different radial elastic modulus is selected for numerical calculation. It is shown that the stress is greatly reduced as the radial elastic modulus increased, and moreover the stress level varies when the radial elastic modulus increased in different ways. Thus, it can be concluded that the stress around the circular hole in the functional gradient material plate can be effectively reduced by choosing the proper change ways of the radial elastic modulus.
带圆孔功能梯度材料板在对称荷载作用下的应力分析
本文研究了带圆孔的功能梯度材料板在对称荷载作用下的应力分布。采用均质层法,在忽略热效应的情况下,基于单层厚圆柱结构的已知结果,在应力和位移沿界面连续的条件下,推导出具有径向任意弹性模量的功能梯度材料板的应力分布。当层数N为无穷大时,可以得到精确解。但是,由于一般情况下N是一个有限的数,所以只能给出近似解。以不同径向弹性模量的功能梯度材料板为例进行数值计算。结果表明:应力随径向弹性模量的增大而显著减小,且应力水平随径向弹性模量的增大而变化。由此可以得出,选择适当的径向弹性模量变化方式,可以有效减小功能梯度材料板圆孔周围的应力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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