OPTIMAL-DESIGN OF NONLINEAR PARABOLIC-SYSTEMS .2. VARIABLE SPATIAL DOMAIN WITH APPLICATIONS TO CASTING OPTIMIZATION

Authors
TORTORELLI DA TOMASKO JA MORTHLAND TE DANTZIG JA
Citation
Da. Tortorelli et al., OPTIMAL-DESIGN OF NONLINEAR PARABOLIC-SYSTEMS .2. VARIABLE SPATIAL DOMAIN WITH APPLICATIONS TO CASTING OPTIMIZATION, Computer methods in applied mechanics and engineering, 113(1-2), 1994, pp. 157-172
Citations number
36
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
113
Issue
1-2
Year of publication
1994
Pages
157 - 172
Database
ISI
SICI code
0045-7825(1994)113:1-2<157:OONP.V>2.0.ZU;2-D
Abstract
In Part I, design sensitivity expressions for nonlinear parabolic syst ems were derived and then specialized for the analysis for thermal sys tems which govern many processing operations. However, that presentati on did not account for shape variations. Here we present the shape sen sitivity analysis for the thermal system. The sensitivities are derive d via the domain parameterization method and computed with the finite element method. Various means for parameterizing the shape are also di scussed. Finally, the sensitivity analysis is coupled with nonlinear p rogramming to optimize the design of a sand casting.