Hybrid Finite Element Method Based on Polygon-Quadtree Meshes for Heat Transfer and Thermal Elastic Analysis  

作　　者：Lihui Wang Rui Zhang Ran Guo Jiangbo Tao 

机构地区：[1]Faculty of Civil Engineering and Mechanics,Kunming University of Science and Technology,Kunming 650000,China

出　　处：《Acta Mechanica Solida Sinica》2023年第5期745-753,共9页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12062007 and 12072135).

摘　　要：A steady-state thermal hybrid element model is proposed to calculate particle-reinforced composites divided by an improved quadtree mesh.The functional of hybrid flux finite element method(HF-FEM)is constructed using the weighted residual method.This functional independently assumes a heat flux field in the cell domain and a temperature field along cell boundaries.The construction of a universal heat flux function is put forward,which is approximated by a complete polynomial,and the temperature at the cell boundary is obtained by linear interpolation.Also,the hybrid stress finite element method(HS-FEM)is constructed to solve the thermal stress.In this paper,an improved quadtree grid that can accurately describe the shape of elliptical inclusions is built.By comparing several numerical examples with the traditional FEM,it is demonstrated that the hybrid element of the thermal analysis proposed in this paper is practical.

关 键 词：Hybridflux method Hybrid thermal stress method Improved quadtree grid STEADY-STATE 

分 类 号：O17[理学—数学]