2D Green's functions for two-phase orthotropic electro-magneto-thermo-elastic materials

Article type: Research Article

Authors: Xiong, Su-Ming^{a; *} | Hou, Peng-Fei^b | Yang, Shi-You^a

Affiliations: [a] College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China | [b] Department of Engineering Mechanics, Hunan University, Changsha, 410082, China

Correspondence: [*] Corresponding author: S.M. Xiong, Tel.: +86 571 87951915; Fax: +86 571 87951915; E-mail: xiongsm@zju.edu.cn

Abstract: We use the 2D general solutions of orthotropic electro-magneto-thermo-elastic material to construct the 2D Green's function for a steady line heat source in the interior of two-phase orthotropic electro-magneto-thermo-elastic plane by ten newly introduced harmonic functions with undetermined constants. The corresponding coupled field can be obtained by substituting these functions into the general solution, and the undetermined constants can be obtained by the continuous conditions and equilibrium conditions. All components of coupled field are expressed in terms of elementary functions and are convenient to use.

Keywords: 2D Green's function, line heat source, two-phase, orthotropic, electro-magneto-thermo-elastic

DOI: 10.3233/JAE-2010-1076

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 32, no. 3, pp. 159-175, 2010