由材料组分直接计算功能梯度复合材料开孔板宏观响应的跨尺度分析

建议一种新颖的功能梯度构件分析的细观元法, 给出了方法模型、基本算式及特点与功能。细观元法对构件的常规有限单元内部设置密集细观单元以反映材料组分梯度变化, 又通过协调条件将各细观元结点自由度转换为同一常规有限元自由度, 再上机计算。此法可实现材料细观结构到构件宏观响应的直接过渡分析, 而计算单元与自由度又等同于常规有限元, 为解决功能梯度构件宏观、细观跨尺度分析提供了一种有效工具。本文中直接从制备时给定材料组分分布出发计算构件宏观响应, 给出了不同开孔形状与数量功能梯度板的力学量三维分布形态。 

Scale-span analysis for macro-response of functionally gradedmaterial plates with holes by material component

A new microelement method for the analysis of functionally graded st ructures was suggested , and themethod model , basic computational equations , features and functions were given in this paper. In order to reflect thegraded change of the material component , the dense microelement s were set up in the normal finite element of thest ructure , and the degrees of f reedom of all microelementps nodes were t ranslated into the ones of the same normalfinite element by the compatibility conditions , which were calculated by the computer. This microelement methodcan fully realize the transition from material micro-constitution to macroresponse of the st ructure , and it s computational element s and degrees of f reedom are the same as those of the normal finite element method. Therefore , thismethod is an effective means for the scale-span analysis of the functionally graded st ructures. In this paper , themacro-response can be immediately calculated by the material component dist ribution determined in the process ofthe material production. The three-dimensional dist ributions of mechanical quantities of the functionally gradedplates with different holes are given in this paper.