Free material optimization for plates and shells
Gaile S, Leugering G, Stingl M (2009)
Publication Status: Published
Publication Type: Conference contribution, Original article
Publication year: 2009
Journal
Publisher: Springer Verlag
Book Volume: 312
Pages Range: 239-250
Conference Proceedings Title: Proceedings of the 23rd IFIP TC 7 Conference on System Modelling and Optimization
Event location: Cracow
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.
Authors with CRIS profile
Günter Leugering
Lehrstuhl für Angewandte Mathematik
Michael Stingl
Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)
How to cite
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.
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