Title :
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
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;
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
DOI :
10.1109/APMC.2012.6421902
