A NEW APPROACH FOR SOLVING INVERSE SOLIDIFICATION DESIGN PROBLEMS

Abstract

Inverse solidification design analysis represents an evolving area of research that can potentially affect a large segment of the manufacturing community. The objective of the analysis involves designing a transient boundary condition that produces a prescribed interfacial surface motion to ensure a desired morphology. The solution is developed in the context of a weighted residual methodology in which the temporal variable is treated in an elliptic fashion. This approach does not exhibit any of the symptoms associated with the solution of mildly ill-posed formulations. Finally, a conventional test case is presented indicating the accuracy, convergence, and stability of the new methodology.

Notes

Address correspondence to Dr. Jay I. Frankel, Department of Mechanical and Aerospace Engineering and Engineering Sciences, The University of Tennessee—Knoxville, 414 Dougherty Engineering Building, Knoxville, TN, 37996-2210, USA.