A Quadrilateral Element-based Method for Calculation of Multi-scale Temperature Field

作者：Sun Zhigang^*; Zhou Chaoxian; Gao Xiguang; Song Yingdong

来源：Chinese Journal of Aeronautics, 2010, 23(5): 529-536.

DOI：10.1016/S1000-9361(09)60251-X

• functionally graded materials
• higher-order theory
• temperature field
• multi-scale computing
• quadrilateral cell

In the analysis of functionally graded materials (FGMs) the uncoupled approach is used broadly which is based on homogenized material property and ignores the effect of local micro-structural interaction The higher-order theory for FGMs (HOTFGM) is a coupled approach that explicitly takes the effect of micro-structural gradation and the local interaction of the spatially variable inclusion phase into account Based on the HOTFGM this article presents a quadrilateral clement-based method for the calculation of multi-scale temperature field (QTF) In this method, the discrete cells are quadrilateral including rectangular while the surface-averaged quantities are the primary variables which replace the coefficients employed in the temperature function In contrast with the HOTFGM this method improves the efficiency, eliminates the restriction of being rectangular cells and expands the solution scale The presented results illustrate the efficiency of the QTF and its advantages in analyzing FGMs

• 出版日期2010-10
• 单位南京航空航天大学