Solving stress constrained problems in topology and material optimization

0421362 - ÚTIA 2014 RIV US eng J - Článek v odborném periodiku
Kočvara, Michal - Stingl, M.
Solving stress constrained problems in topology and material optimization.
Structural and Multidisciplinary Optimization. Roč. 46, č. 1 (2012), s. 1-15. ISSN 1615-147X. E-ISSN 1615-1488
Grant CEP: GA AV ČR IAA100750802
Grant ostatní: EU FP6(XE) 30717
Výzkumný záměr: CEZ:AV0Z10750506
Institucionální podpora: RVO:67985556
Klíčová slova: Topology optimization * Material Optimization * Stress based design * Nonlinear semidefinite programming
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.728, rok: 2012
http://library.utia.cas.cz/separaty/2013/MTR/kocvara-0421362.pdf

This article is a continuation of the paper /citet{kocvara-stingl-stress}. The aim is to describe numerical techniques for the solution of topology and material optimization problems with local stress constraints. In particular, we consider the topology optimization (variable thickness sheet or ``free sizing'') and the free material optimization problems. We will present an efficient algorithm for solving large scale instances of these problems. Examples will demonstrate the efficiency of the algorithm and the importance of the local stress constraints. In particular, we will argue that in certain topology optimization problems, the addition of stress constraints must necessarily lead not only to the change of optimal topology but also optimal geometry. Contrary to that, in material optimization problems the stress singularity is treated by the change in the optimal material properties.
Trvalý link: http://hdl.handle.net/11104/0227925