| 等参梯度有限元应用于非线性梯度材料的研究 |
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| 引用本文： | 张驰.等参梯度有限元应用于非线性梯度材料的研究[J].飞机设计,2008,28(3):31-34. |
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| 作者姓名： | 张驰 |
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| 作者单位： | 沈阳航空工业学院,民航学院,辽宁,沈阳,110136 |
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| 摘 要： | 将等参梯度有限元法应用于非线性功能梯度材料，推导了2种受力情况下指数体积分数变化的功能梯度材料的应力分布解析解。通过不同的单元划分形式，对等参梯度元数值解、均匀单元数值解及解析解三者进行比较分析，得出等参梯度有限元方法对非线性梯度材料同样适用，为等参梯度有限元的推广应用提供了证据。
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| 关 键 词： | 等参梯度有限元 非线性 功能梯度材料 各向同性 |
Isoparametric Graded Finite Elements for Nonlinear Materials |
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| ZHANG Chi.Isoparametric Graded Finite Elements for Nonlinear Materials[J].Aircraft Design,2008,28(3):31-34. |
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| Authors: | ZHANG Chi |
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| Institution: | ZHANG Chi ( Civil Aviation School, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, China) |
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| Abstract: | Isoparametric graded finite elements used for nonlinear functional graded material are described in this paper.The exact analytical solutions are derived for exponential graded material with two loading conditions.By comparing the numerical solutions with the analytical solutions for isoparametric graded elements and homogeneous elements under the different mesh methods,it is educed that the isoparametric graded finite elements are useful for nonlinear material.It can help the popularization of isoparametric graded finite elements. |
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| Keywords: | isoparametric graded finite elements nonlinear FGM isotropy |
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