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Assessment of Non-Adiabatic Behaviour in Thermoelastic Stress Analysis of Small Scale Components

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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 three-point 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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Acknowledgements

The financial support from China Scholarship Council and UK DEfS are gratefully acknowledged. The Deltatherm system used in this work was provided by the UK Engineering and Physical Sciences Research Council Loan Pool.

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Correspondence to J. M. Dulieu-Barton.

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Wang, W.J., Dulieu-Barton, J.M. & Li, Q. Assessment of Non-Adiabatic Behaviour in Thermoelastic Stress Analysis of Small Scale Components. Exp Mech 50, 449–461 (2010). https://doi.org/10.1007/s11340-009-9249-2

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  • DOI: https://doi.org/10.1007/s11340-009-9249-2

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