THE PROBLEM OF THE STATIONARY HEAT DISTRIBUTION IN А PLANE FORMED BY TWO HALF-PLANES CONSISTING OF NON-HOMOGENEOUS MATERIALS WITH AN INTERPHASE CRACK
Authors:
Type:
Article
Pages:
from 151
to 154
Status:
Published
Received:
29.08.2014
Accepted:
11.03.2020
Published:
17.06.2014
Language:
Russian
Keywords:
transmission problem, classical solution, general solution, boundary conditions, steady heat conduction equation, crack, asymptotics
Abstract (English):
. The problem of transmission about the stationary heat distribution in a bimaterial with an interphase crack is considered. It is assumed that coefficients of the thermal conductivity of the materials are different and have an exponential form. The boundary conditions set the jumps of the temperature and the heat flux. Some explicit formulas of this solution of the formulated problem are obtained. It is allocated singular components of the first derivatives of the solution of the formulated problem near the ends of the crack, arising from the abolition of additional conditions. The solutions remain continuous.
. The problem of transmission about the stationary heat distribution in a bimaterial with an interphase crack is considered. It is assumed that coefficients of the thermal conductivity of the materials are different and have an exponential form. The boundary conditions set the jumps of the temperature and the heat flux. Some explicit formulas of this solution of the formulated problem are obtained. It is allocated singular components of the first derivatives of the solution of the formulated problem near the ends of the crack, arising from the abolition of additional conditions. The solutions remain continuous.
Keywords:
transmission problem, classical solution, general solution, boundary conditions, steady heat conduction equation, crack, asymptotics
transmission problem, classical solution, general solution, boundary conditions, steady heat conduction equation, crack, asymptotics
