| 用无网格局部径向点插值法分析功能梯度材料问题 |
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| 引用本文： | 夏平,龙述尧,刘凯远.用无网格局部径向点插值法分析功能梯度材料问题[J].湖南工程学院学报(自然科学版),2008,18(1):28-32. |
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| 作者姓名： | 夏平 龙述尧 刘凯远 |
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| 作者单位： | 1. 湖南工程学院,机械工程系,湖南,湘潭,411101;湖南大学,力学与航空航天学院,湖南,长沙,410082
2. 湖南大学,力学与航空航天学院,湖南,长沙,410082 |
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| 摘 要： | 采用无网格局部径向点插值法来分析功能梯度材料问题．这种无网格方法采用径向基函数耦合多项式基函数来近似试函数，采用三次样条函数作为加权残值法中的权函数．所构造成的形函数具有Kronecker Delta性质，方便处理本质边界条件．在计算过程中，取积分中的高斯点的材料参数来模拟问题域材料特性的变化．结果表明这是一种真正的无网格方法，模拟简单而且计算精度高．
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| 关 键 词： | 无网格法 径向点插值法 功能梯度材料 径向基函数 |
| 文章编号： | 1671-119X(2008)01-0028-05 |
| 修稿时间： | 2007年10月27 |
A Meshless Local Radial Point Interpolation Method for Analysis of Functionally Graded Material |
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| XIA Ping,LONG Shu-yao,LIU Kai-yuan.A Meshless Local Radial Point Interpolation Method for Analysis of Functionally Graded Material[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2008,18(1):28-32. |
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| Authors: | XIA Ping LONG Shu-yao LIU Kai-yuan |
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| Institution: | XIA Ping, LONG Shu- yao , LIU Kai -yuan ( 1. Dept. of Mech. Eng. , Hunan Institute of Engineering, Xiangtan 411101, China; 2.College of Mechanics and Aerospace Engineering,Hunan University, Changsha 410082, China) |
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| Abstract: | A meshless local radial point interpolation method for the analysis of functionally graded materials is presented in this paper.It uses a radial basis function(RBF) coupled with a polynomial basis function as a trail function,and uses the cubic spline function as a test function of the weighted residual method.The shape function obtained in trail function has the Kronecker Delta property,and no additional treatment is required to impose essential boundary conditions.In computational procedures,variations of material properties in the considered domain are simulated by adopting proper material parameters at Gauss points in integrations.The results show that the presented method is a truly meshless method and has advantages of the easy implementation and high accuracy. |
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| Keywords: | meshless method radial point interpolation method functionally graded material radial basis function |
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