Short Time Perturbation Solution for Thermoelastic Instabilities in Planar Solidification

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Abstract:

A simplified thermomechanical growth instability model for early stages of solidification porcess is obtained. The model consists of a thermally deformable mold of finite thickness. The inclusion of the mold into the model introduces a parameter known as distortivity which plays an important role in the thermoelastic instability problems. The results show that the perturbation in contact pressure tends asymptotically to a maximum value at larger values of time. The magnitude of the contact pressure perturbation decreases as the thickness of the mold increases whereas it increases as the distortivity of the mold increases.

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295-300

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January 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] O. Richmond, L. G., Hector Jr., and J. M. Fridy, Growth Instability During Non-Uniform Directional Solidification of Pure Metals, ASME J. Appl. Mech., vol. 57, 529-536, (1990).

DOI: 10.1115/1.2897055

Google Scholar

[2] N. -Y. Li and J.R. Barber, Thermoelastic Instability in Planar Solidification, Int. J. Mech. Sci., vol. 33, No. 12, 945-959, (1991).

DOI: 10.1016/0020-7403(91)90051-4

Google Scholar

[3] F. Yigit, N. -Y. Li, and J.R. Barber, Effect of Thermal Capacity on Thermoelastic Instability During the Solidification of Pure Metals, J. Thermal Stresses, vol. 16, 285-309, (1993).

DOI: 10.1080/01495739308946231

Google Scholar

[4] F. Yigit, Effect of Mold Properties on Thermoelastic Instability in Unidirectional Planar During Solidification, J. Thermal Stresses, vol. 21, pp.55-81, (1998).

DOI: 10.1080/01495739808956135

Google Scholar