| 基于自然元法和精细积分法的功能梯度材料瞬态热传导问题求解 |
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| 引用本文： | 李庆华,陈莘莘,薛志清,曹晖. 基于自然元法和精细积分法的功能梯度材料瞬态热传导问题求解[J]. 计算机辅助工程, 2011, 20(3): 25-28 |
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| 作者姓名： | 李庆华 陈莘莘 薛志清 曹晖 |
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| 作者单位： | 湖南工业大学土木工程学院,湖南工业大学土木工程学院,湖南工业大学土木工程学院,湖南工业大学土木工程学院 |
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| 摘 要： | 为促进无网格法分析技术在热传导分析中的应用,提出空间离散采用自然单元法、时间离散采用精细积分法求解功能梯度材料瞬态热传导问题的数值计算方法.在计算过程中,取高斯点的材料参数模拟功能梯度材料特性的变化.温度场采用自然邻接点插值形函数进行离散插值.数值算例验证该数值算法的正确性和有效性.
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| 关 键 词： | 功能梯度材料 热传导 自然单元法 精细积分法 |
| 收稿时间： | 2011-05-01 |
| 修稿时间： | 2011-05-29 |
Transient heat conduction solution to functionally graded materials based on natural element method and precise integration method |
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| Li Qinghu,CHEN Shenshen,Xue Zhiqing and Cao hui. Transient heat conduction solution to functionally graded materials based on natural element method and precise integration method[J]. Computer Aided Engineering, 2011, 20(3): 25-28 |
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| Authors: | Li Qinghu CHEN Shenshen Xue Zhiqing Cao hui |
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| Affiliation: | College of Civil Engineering, Hunan University of Technology,College of Civil Engineering, Hunan University of Technology,College of Civil Engineering, Hunan University of Technology,College of Civil Engineering, Hunan University of Technology |
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| Abstract: | To promote the application of meshless method in heat conduction analysis, a numerical computation method is propsed for transient heat conduction analysis of functionally graded materials. In the method, the space domain is discretized by natural element method and time is discretized by precise integration method. In the computation, the variations of functionally graded material properties are simulated by employing material parameters at Gauss points. The natural neighbor interpolation shape function is used to discretize temperature field. A numerical example indicates the validity and effectiveness of the method. |
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| Keywords: | functionally graded material heat conduction natural element method precise integration method |
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