Implicit Function Modeling of Solidification in Metal Castings

[+] Author and Article Information
V. L. Rvachev, T. I. Sheiko

Institute for Problems in Machinery, Academy of Sciences of Ukraine, Kharkov, Ukraine

V. Shapiro, J. J. Uicker

Mechanical Engineering Department, University of Wisconsin-Madison, Madison, WI

J. Mech. Des 119(4), 466-473 (Dec 01, 1997) (8 pages) doi:10.1115/1.2826391 History: Received December 01, 1996; Revised July 01, 1997; Online December 11, 2007


Solidification of metal castings can be modeled by an implicit real-valued function whose behavior is determined by physical parameters prescribed on the boundary of a casting. We show how to construct such functions using theory of R-functions for two-dimensional castings represented by their boundaries. The parameterized form of the constructed functions is convenient for studying, controlling, and optimizing their behavior in terms of the physical parameters specified on the boundary of the casting. The proposed approach can also be used for modeling multiple cavities in a same sand mold, generalizes to three-dimensional castings, and is applicable to other physical phenomena that may be suitable for analysis based on empirical knowledge.

Copyright © 1997 by The American Society of Mechanical Engineers
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