Local definition for surface-based geometrical modulus and use in automated casting cooling determination
Résumé
The notion of geometrical modulus is widely used in foundry to approximate castings cooling through Chvorinov’s rule. An extension to its definition at a local scale has been devised, which can be used to determine a cooling map of the surface of an arbitrary casting. An algorithm using simple tessellated surfaces (.stl) files as data entry has been tested, the results showing good agreement with theoretical values for simple casting shapes. Experiments have confirmed the potential of this method to automatically and quickly (a few seconds to minutes) map the cooling of complex parts, despite some limitations mostly linked to the initial discretization of the surface. Potential applications would be automated hot spots location, as well as determination of local cooling times and solidification directions.
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