Kocvara M, Stingl M (2007)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2007
Publisher: Springer Verlag (Germany)
Book Volume: 33
Pages Range: 323-335
Journal Issue: 4-5
DOI: 10.1007/s00158-007-0095-5
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.
APA:
Kocvara, M., & Stingl, M. (2007). Free material optimization for stress constraints. Structural and Multidisciplinary Optimization, 33(4-5), 323-335. https://dx.doi.org/10.1007/s00158-007-0095-5
MLA:
Kocvara, Michal, and Michael Stingl. "Free material optimization for stress constraints." Structural and Multidisciplinary Optimization 33.4-5 (2007): 323-335.
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