Thermoelastic instability in planar solidification
dc.contributor.author | Li, Nai-Yi | en_US |
dc.contributor.author | Barber, J. R. | en_US |
dc.date.accessioned | 2006-04-10T14:56:11Z | |
dc.date.available | 2006-04-10T14:56:11Z | |
dc.date.issued | 1991 | en_US |
dc.identifier.citation | Li, Nai-Yi, Barber, J. R. (1991)."Thermoelastic instability in planar solidification." International Journal of Mechanical Sciences 33(12): 945-959. <http://hdl.handle.net/2027.42/29652> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6V49-47YSCRJ-R7/2/474a56a59cb672e4d33871152a7a4a31 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/29652 | |
dc.description.abstract | A linear perturbation method is used to examine the stability of a unidirectional solidification problem in which a liquid, initially at the melting temperature, becomes solidified by heat transfer across a pressure-dependent thermal contact resistance to a plane mold. The contact pressure will be influenced by thermal distortion in response to the instantaneous temperature field in the solidified shell. The heat transfer and thermal stress problems are therefore coupled through the boundary conditions.The temperature and stress fields are assumed to consist of a unidirectional component and a small spatially-sinusoidal perturbation which can vary with time. Analysis of the thermoelastic problem for the solidified shell leads to an ordinary differential equation relating the perturbation in heat flux at the mold/casting interface and the corresponding perturbation in contact pressure. A second equation relating the same two variables is obtained by linear perturbation of the relation for heat conduction across the thermal contact resistance. These are then reduced to a single equation which is solved numerically. The results show that a small initial perturbation will grow substantially during the solidification process if the thermal contact resistance is very sensitive to pressure. | en_US |
dc.format.extent | 828144 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Thermoelastic instability in planar solidification | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mechanical Engineering | en_US |
dc.subject.hlbsecondlevel | Aerospace Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125, U.S.A. | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/29652/1/0000741.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0020-7403(91)90051-4 | en_US |
dc.identifier.source | International Journal of Mechanical Sciences | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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