Equivalence principle for 3D anisotropic multi-physics model building

Author

Junchong Xiao ; Gaobiao Xiao

Author_Institution

Key Lab. of Minist. of Educ. for Res. of Design & EMC of High Speed Electron. Syst., Shanghai Jiao Tong Univ., Shanghai, China

fYear

2012

fDate

4-7 Dec. 2012

Firstpage

1301

Lastpage

1303

Abstract

This article presents the concept of equivalence principle to do the thermal analysis in three-dimensional ICs design. A volume integral equation is presented here of which the Green function for the equation is used to derive the integral solution by the establishment of equivalent heat source model. The relationship between the temperature and the heat flux on the surface of the anisotropic media is generated in an explicit way and the domain mapping technique is applied to derive the analytical solution to this problem. The validity of the proposed scheme is demonstrated by numerical examples where the results are compared with analytical solution.

Keywords

Green´s function methods; anisotropic media; heat conduction; integrated circuit design; partial differential equations; thermal analysis; 3D anisotropic multiphysics model building; Green function; anisotropic media; domain mapping technique; equivalence principle; heat flux; heat source model; integral equation; integral solution; numerical examples; thermal analysis; three-dimensional IC design; Heat transfer; Heating; Integral equations; Mathematical model; Media; Steady-state; Temperature distribution; 3D anisotropic media; domain mapping; equivalence principle; heat conduction; volume heat source;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference Proceedings (APMC), 2012 Asia-Pacific

Conference_Location

Kaohsiung

Print_ISBN

978-1-4577-1330-9

Electronic_ISBN

978-1-4577-1331-6

Type

conf

DOI

10.1109/APMC.2012.6421902

Filename

6421902