Extended element-free Galerkin method for steady heat conduction problem of inhomogenous material [非均质材料热传导问题的扩展无单元伽辽金法]

作者：Wang F.; Lin G.; Li Y.; Lyu C.

来源：Journal of Huazhong University of Science and Technology (Natural Science Edition), 2019, 47(12): 116-120.

DOI：10.13245/j.hust.191220

• Extended element-free Galerkin method
• Heat conduction
• Inhomogenous material
• Level set method
• Moving Kriging interpolation

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.

• 单位
  三峡大学