A point heat source on the apex of a transversely isotropic magneto-electro-thermo-elastic cone

Article type: Research Article

Authors: Hou, Peng-Fei^{a; *} | Luo, Wei^a | Leung, Andrew Y.T.^b

Affiliations: [a] Department of Engineering Mechanics, Hunan University, Changsha 410082, P.R. China | [b] Department of Building and Construction, City University of Hong Kong, Hong Kong, SAR China

Correspondence: [*] Corresponding author. E-mail: [email protected]

Abstract: We use the compact mono-harmonic general solutions of transversely isotropic magneto-electro-thermo-elastic materials to construct the three-dimensional solutions of a steady point heat source on the apex of a transversely isotropic magneto-electro-thermo-elastic cone by five newly introduced mono-harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. When the apex angle 2α equals to π, the solutions reduce to those of the semi-infinite body problem. Numerical results are given graphically by contours.

Keywords: Point heat source, transversely isotropic, magneto-electro-thermo-elastic, cone

DOI: 10.3233/JAE-2008-936

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 27, no. 1-2, pp. 25-41, 2008