Free material optimization for stress constraints

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autorinnen und Autoren: Kocvara M, Stingl M
Zeitschrift: Structural and Multidisciplinary Optimization
Verlag: Springer Verlag (Germany)
Jahr der Veröffentlichung: 2007
Band: 33
Heftnummer: 4-5
Seitenbereich: 323-335
ISSN: 1615-147X


Free material design deals with the question of finding the lightest structure subject to one or more given loads when both the distribution of material and the material itself can be freely varied. We additionally consider constraints on local stresses in the optimal structure. We discuss the choice of formulation of the problem and the stress constraints. The chosen formulation leads to a mathematical program with matrix inequality constraints, so-called nonlinear semidefinite program. We present an algorithm that can solve these problems. The algorithm is based on a generalized augmented Lagrangian method. A number of numerical examples demonstrate the effect of stress constraints in free material optimization.

FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

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


Kocvara, M., & Stingl, M. (2007). Free material optimization for stress constraints. Structural and Multidisciplinary Optimization, 33(4-5), 323-335.

Kocvara, Michal, and Michael Stingl. "Free material optimization for stress constraints." Structural and Multidisciplinary Optimization 33.4-5 (2007): 323-335.


Zuletzt aktualisiert 2018-26-06 um 23:23