摘要
推导出适应功能梯度材料构件分析的半解析方法基本算式,并针对功能梯度构件的材料参数随空间坐标变化的特点,将材料参数纳入到力学方程中进行整体积分计算,从而编制统一程序计算不同边界条件下的板件问题。该法适应性强而又简洁高效,且不同于一般的半解析法,可采用一维离散,给出三维分析结果,是一种解决功能梯度构件力学性能分析的有效数值方法。文中用半解析法分析几种具有不同复杂边界条件的功能梯度板,给出了板件的力学量三维分布形态。
The basic formulas of semi- analytical method applied to the analyses of functionally graded structures were derived, and according to the characteristics of functionally graded material parameters varying with the space coordinates, the material parameters were entered into mechanical equations for the whole integral calculation, then the unified program was formed for calculating plate problems under different boundary conditions. The method, which has strong adaptability, brevity and method, can use 1-D discretization, obtain 3-D analytical high efficiency, is different from general semi-analytical results. It＇s an effective numerical method to solve mechanical analysis of functionally graded material structures. In the paper the semi-analytical method was used to analyse several different functionally graded material plates with complex boundary conditions,and the 3-D distributions of mechanical quantities were given.
出处
《功能材料》
EI
CAS
CSCD
北大核心
2006年第8期1348-1351,共4页
Journal of Functional Materials
基金
国家自然科学基金重点资助项目(10432030)
关键词
功能梯度材料
半解析法
复杂边界
三维分析
functionally graded material
semi-analytical method
complex boundary
three-dimensional analysis
作者简介
程国华（1980--），男，湖北汉川人，在读硕士，师承曹远志教授，从事材料工程力学研究。
通讯作者：曹志远
