Sensitivity analysis and nonlinear programming applied to investment casting design

S. A. Ebrahimi, D. A. Tortorelli, J. A. Dantzig

Research output: Contribution to journalArticlepeer-review


Finite element solidification heat transfer analysis, explicit design sensitivity analysis, and nonlinear programming are combined to examine investment casting. The theoretical formulation is presented for considering both continuous and discrete optimization. The methods are then applied to improve the design of an axisymmetric superalloy investment casting. A significant reduction in material is achieved by minimizing riser volume, while maintaining directional solidification. In a second example problem a continuous-discrete algorithm is implemented to solve a similar problem, where mold wrap having one of a set of discrete thicknesses is placed on the investment to control the solidification pattern.

Original languageEnglish (US)
Pages (from-to)113-123
Number of pages11
JournalApplied Mathematical Modelling
Issue number2
StatePublished - Feb 1997


  • Finite element analysis
  • Investment casting
  • Sensitivity analysis

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics


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