Free material optimization for plates and shells

Beitrag bei einer Tagung
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Gaile S, Leugering G, Stingl M
Verlag: Springer Verlag
Jahr der Veröffentlichung: 2009
Band: 312
Tagungsband: Proceedings of the 23rd IFIP TC 7 Conference on System Modelling and Optimization
Seitenbereich: 239-250
ISSN: 1868-4238
eISSN: 1868-422X


Abstract


In this article, we present the Free Material Optimization (FMO) problem for plates and shells based on Naghdi's shell model. In FMO - a branch of structural optimization - we search for the ultimately best material properties in a given design domain loaded by a set of given forces. The optimization variable is the full material tensor at each point of the design domain. We give a basic formulation of the problem and prove existence of an optimal solution. Lagrange duality theory allows to identify the basic problem as the dual of an infinite-dimensional convex nonlinear semidefinite program. After discretization by the finite element method the latter problem can be solved using a nonlinear SDP code. The article is concluded by a few numerical studies.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Leugering, Günter Prof. Dr.
Stingl, Michael Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


Zitierweisen

APA:
Gaile, S., Leugering, G., & Stingl, M. (2009). Free material optimization for plates and shells. In Proceedings of the 23rd IFIP TC 7 Conference on System Modelling and Optimization (pp. 239-250). Cracow, PL: Springer Verlag.

MLA:
Gaile, Stefanie, Günter Leugering, and Michael Stingl. "Free material optimization for plates and shells." Proceedings of the 23rd IFIP TC 7 Conference on System Modelling and Optimization, Cracow Springer Verlag, 2009. 239-250.

BibTeX: 

Zuletzt aktualisiert 2018-10-08 um 05:55