(Received 12 July 1999; accepted 28 March 2001)
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The solidification of molten base material often produces porous or cracked products. Following the investigations of Hansen and Sahm, we try to optimize the product in relation to fewer pores, cracks, and tensions: therefore, we observe the process of solidification of the base material. For the modeling of solidification we use the results of a commercial finite-element analysis program that solves the heat transfer equation. We define a criterion that describes the “goodness” of a casting and discuss the results of the calculation with respect to pores, cracks, and tensions of the product. A “vector of quality” is introduced to describe the results as a certification of the product and to compare castings.
Mathematician, director of AG Qualität im Fachbereich Mathematik, Universität Hannover, Hannovery,
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