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Возмущение температурного поля трещиной в полимерных материалах
Инженерный журнал: наука и инновации
# 11·2017 21
Disturbance of the temperature field caused by a fracture
in polymer materials
©
A.A. Valishin
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article presents a solution to the problem of temperature distribution in a sample
containing a fracture. We analysed the temperature field in depth. We show that when a
steady-state heat flow affects a cracked sample, the temperature gradient locally increas-
es in the vicinity of the fracture, which makes the temperature stresses increase. We
computed the temperature profile along two crack surfaces, the equidistant curves of the
temperature field adjacent to the fracture, relative distortion of the temperature field
caused by the crack, and the distribution of the tangential and normal components of the
heat flux vector along the width of the sample in the vicinity of the fracture. We plotted
the vector lines of the temperature field in a sample featuring an internal fracture. We
present a detailed analysis of the temperature field at the crack tip where the heat flow
concentrates, and computed temperature values in that region. We determined how the
maximum distortion of the temperature field depends on the distance to the fracture. We
demonstrate the following: that the fracture dimensions define the size of the temperature
field distortion zone adjacent to the crack; that in addition to the displacement disconti-
nuity in the crack surfaces there exists a temperature discontinuity proportional to the
power of the external heat flow and the size of the crack; that the fracture is a stress
raiser (amplifying the stresses locally) in the mechanical field, and in the temperature
field it additionally acts as a heat flow concentrator.
Keywords:
fracture, temperature field
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