Assessment of non-adiabatic behaviour in thermoelastic stress analysis of small scale components

Abstract

The classical thermoelastic equation and the
generalized heat conduction equation are developed to deal
with a non-adiabatic response in thermoelastic stress
analysis. A FE simulation procedure is set up to solve the
heat conduction equation over a range of loading frequencies.
A small disc (20 mm diameter) loaded under threepoint
diametric compression is used to examine the effect
of in-plane heat conduction. As the disc has regions of zero,
moderate and high stress gradients it is an ideal component
for this analysis. A regime is developed that provides a
basis for an assessment of the nature of the response and
allows a minimum loading frequency to be identified so
that adiabatic behaviour is obtained. This validity of this
approach is demonstrated on steel disc of 20 mm diameter.
A special loading device has been designed to obtain the
three-point loading and a recently introduced Instron Electropuls test machine is used to achieve the high levels
of cyclic loading required for the adiabatic conditions.

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