Sensitivity analysis and optimization of polymer sheet extrusion dies

Douglas E. Smith, Daniel A. Tortorellil, Charles L Tucker

Research output: Contribution to journalConference articlepeer-review


A general framework is presented for design sensitivity analysis and optimization of purely viscous Non-Newtonian steady flow processes. Derivations are limited to creeping flows through thin cavities in which the Generalized Hele-Shaw approximation can be applied. Both process parameters and design variables that parameterize the flow domain shape are considered in the sensitivity analysis and optimization. The method is applied to polymer sheet extrusion dies where the die cavity is designed to minimize the total pressure drop across the die and reduce the velocity variation at the die exit. The solution of the nonlinear equations for the pressure field is computed using Newton-Raphson iteration. Design sensitivities are derived via the adjoint method and are used in a gradient-based optimization algorithm. The analysis and design sensitivity analysis are performed with the finite element method.

Original languageEnglish (US)
Pages (from-to)307-318
Number of pages12
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - 1994
EventProceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA
Duration: Nov 6 1994Nov 11 1994

ASJC Scopus subject areas

  • Mechanical Engineering


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