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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

期刊名称：复合材料学报，23（2006）, 161-167
时间：0
分类：O316[理学—一般力学与力学基础;理学—力学] TB330.1[一般工业技术—材料科学与工程]
作者机构：[1]同济大学航空航天与力学学院,上海200092
相关基金：国家自然科学基金资助重点项目（10432030）
相关项目：功能梯度材料与结构的关键力学问题研究

关键词：功能梯度材料, 三维分析, 细观元, 材料组分, 开孔板, functionally graded material, three-dimensional analysis, microelement, material component, plate with hole

中文摘要：

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。

英文摘要：

A new microelement method for the analysis of functionally graded structures was suggested, and the method model, basic computational equations, features and functions were given in this paper. In order to reflect the graded change of the material component, the dense microelements were set up in the normal finite element of the structure, and the degrees of freedom of all microelement＇s nodes were translated into the ones of the same normal finite element by the compatibility conditions, which were calculated by the computer. This microelement method can fully realize the transition from material micro-constitution to macroresponse of the structure, and its computational elements and degrees of freedom are the same as those of the normal finite element method. Therefore, this method is an effective means for the scale-span analysis of the functionally graded structures. In this paper, the macro response can be immediately calculated by the material component distribution determined in the process of the material production. The three-dimensional distributions of mechanical quantities of the functionally graded plates with different holes are given in this paper.