TEMPERATURE FIELD NEAR THE SINGULAR LINE
OF THE INTERFACE OF ANISOTROPIC MEDIA

I. T. Denisyuk

UDC 536.22

A representation of the temperature fields and the components 
of the vector of heat-flux density in both the base material (matrix) 
and the conjugate medium (inclusion) has been found for anisotropic 
media in the case of the interface with a singular line on condition 
of ideal thermal contact. It has been shown that the anisotropy of 
thermal properties makes it possible to do away with the singularity 
of the components of the heat-flux-density vector. Particular cases 
of isotropy of the media and of heat-insulated and isothermal inclusions 
have been investigated. The results obtained are applicable for studying 
the nonstationary heat conduction of an anisotropic body with an uneven 
anisotropic inclusion.

Keywords: singular line, anisotropy of thermal properties, 
heat conduction, conjugation problem, singularity, distribution of 
the components of heat-flux density, temperature distribution, heat-flux 
coefficients.
 
Lutsk State Technical University, 75 L'vovskaya Str., Lutsk, 43018, Ukraine. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 1, pp. 157-162, 
January-February, 2009. Original article submitted May 30, 2007; revision 
submitted June 24, 2008.