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The Quarterly Journal of Mechanics and Applied Mathematics 1966 19(2):183-195; doi:10.1093/qjmam/19.2.183
© 1966 by Oxford University Press
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BOUNDS IN MELTING SLABS WITH SEVERAL TRANSFORMATION TEMPERATURES{dagger}

TING-SHU WU

( The Ohio State University Columbus, Ohio )

The problem studied concerns the establishment of a uniqueness theorem and a comparison theorem, which are essential in the construction of bounds, for a multiphase slab which is insulated on one face and is heated in an arbitrary manner on the other. The material is assumed to possess an arbitrary but finite number of transformation temperatures. Each phase of the material may have distinet thermal properties, and each change of phase is assumed to take place at a given temperature and may be accompanied by the absorption of heat.


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