Extended element-free Galerkin method for steady heat conduction problem of inhomogenous material

被引：0
|
作者：
Wang F. [1 ,2 ]
Lin G. [3 ]
Li Y. [1 ,2 ]
Lyu C. [1 ,2 ]
机构：
[1] College of Hydraulic & Environmental Engineering, China Three Gorges University, Yichang, 443002, Hubei
[2] Hubei Key Laboratory of Construction and Management in Hydropower Engineering, China Three Gorges University, Yichang, 443002, Hubei
[3] Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian, 116024, Liaoning
来源：
Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition) | 2019年 / 47卷 / 12期
关键词：
Extended element-free Galerkin method; Heat conduction; Inhomogenous material; Level set method; Moving Kriging interpolation;
D O I：
10.13245/j.hust.191220
中图分类号：
学科分类号：
摘要：
The extended element-free Galerkin (XEFG) method was improved through the moving Kriging interpolation in this paper, which was used to construct the unity partition function. The shape functions constructed from the moving Kriging interpolation possess the Kronecker delta property compared with traditional moving least square shape functions. The moving Kriging (MK) shape functions overcome the shortcomings of moving least squares approximation which are difficult to impose essential boundary conditions directly and accurately. Furthermore, this method was extended to solve the steady heat conduction problem of inhomogenous materials. Examples of single inclusion and multiple inclusions show that the improved XEFG method is easy to impose the essential boundary condition. It is more convenient to be solved since the enriched nodes are determined only considering the geometric interfaces of inclusions. © 2019, Editorial Board of Journal of Huazhong University of Science and Technology. All right reserved.
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页码：116 / 120
页数：4
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