PLANE CONTACT PROBLEM OF INTERACTION
BETWEEN A RIGID HEAT-CONDUCTING WEDGE
AND AN ELASTIC LAYER UNDER NONSTATIONARY
FRICTION HEAT RELEASE

P. P. Krasnyuk

UDC 539.3

We consider a solution to the new plane problem of contact 
interaction with an elastic layer of a rigid, heat-conducting cross-sectional 
die in the form of a bounded or unbounded wedge. Using the apparatus 
of integral transformations, we have obtained an exact solution of 
the heat-conduction equations for the die and the layer, which permits 
reducing the problem stated to a system of integral equations whose 
structure is determined by the kind of thermophysical conditions on 
the interaction surface. This enables us to make the mathematical 
statement of the problem more realistic in terms of the distribution 
of thermoelastic stresses and adequately estimate the influence of 
thermal fields on the value of the contact pressure and the character 
of its distribution.

L'vov Banking Institute, Banking University, National 
Bank of Ukraine, 9 T. Shenchenko Ave., L'vov, 79005, Ukraine. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 4, pp. 755-766, 
July-August, 2008. Original article submitted November 21, 2006.