APPLICATION OF FIRST-ORDER AND 2ND-ORDER SENSITIVITIES IN DOMAIN OPTIMIZATION FOR STEADY CONDUCTION PROBLEM

Authors
DEMS K KORYCKI R ROUSSELET B
Citation
K. Dems et al., APPLICATION OF FIRST-ORDER AND 2ND-ORDER SENSITIVITIES IN DOMAIN OPTIMIZATION FOR STEADY CONDUCTION PROBLEM, Journal of thermal stresses, 20(7), 1997, pp. 697-728
Citations number
22
Categorie Soggetti
Mechanics,Thermodynamics
Journal title
Journal of thermal stresses → ACNP
ISSN journal
01495739
Volume
20
Issue
7
Year of publication
1997
Pages
697 - 728
Database
ISI
SICI code
0149-5739(1997)20:7<697:AOFA2S>2.0.ZU;2-0
Abstract
A steady heat conduction problem within an anisotropic domain is formu lated. Considering an arbitrary behavioral functional, its first and s econd sensitivities with respect to variation of domain shape are deri ved using the material derivative concept and direct as well as adjoin t approaches. Then the shape optimal design problem is formulated and the optimization algorithms of the first and second order are discusse d.