A NEW APPROACH FOR SOLVING INVERSE SOLIDIFICATION DESIGN-PROBLEMS

Inverse solidification design analysis represents an evolving area of research that can potentially affect a large segment of the manufactur ing community. The objective of the analysis involves designing a tran sient boundary condition that produces a prescribed interfacial surfac e motion to ensure a desired morphology. The solution is developed in the context of a weighted residual methodology in which the temporal v ariable is treated in an elliptic fashion. This approach does not exhi bit any of the symptoms associated with the solution of mildly ill-pos ed formulations. Finally, a conventional test case is presented indica ting the accuracy, convergence, and stability of the new methodology.