摘要
推导出适应功能梯度材料构件分析的半解析梯度有限元法基本算式,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,从而分析不同情况功能梯度板件问题.该法适应性强而又简洁高效,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分析的有效数值方法.用提出的方法分析几种具有复杂形状及开孔的功能梯度板,给出了板件的力学量三维分布形态.
Basic formulas for Semi-analytical Graded FEM on FGM members were derived. Since FGM parameters vary along three space coordinates, the parameters can be integrated in mechanical equations. Therefore with parameters of a given FGM plate, the FGM plate problems under various conditions can be solved. The approach uses 1D discretization to obtain 3D solutions, and proves to be an effeclive numerical method for mechanical analyses of FGM structures. Last, several FGM plate exanples with complex shapes and various holes were provided.
出处
《应用数学和力学》
CSCD
北大核心
2009年第1期15-20,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10432030)
关键词
功能梯度材料
半解析法
复杂形状
开孔
三维分析
functionally graded material
semi-analytical method
complex shape
hole
3D analysis
