Multidisciplinary Free Material Optimization

0421361 - ÚTIA 2014 RIV US eng J - Journal Article
Haslinger, J. - Kočvara, Michal - Leugering, G. - Stingl, M.
Multidisciplinary Free Material Optimization.
Siam Journal on Applied Mathematics. Roč. 7, č. 70 (2010), s. 2709-2728. ISSN 0036-1399. E-ISSN 1095-712X
R&D Projects: GA AV ČR IAA100750802
Grant - others:EU FP6(XE) 30717
Institutional research plan: CEZ:AV0Z10750506
Keywords : structural optimization * material optimization * H-convergence * semidefinite programming
Subject RIV: BA - General Mathematics
Impact factor: 1.529, year: 2010
http://library.utia.cas.cz/separaty/2013/MTR/kocvara-0421361.pdf

We present a mathematical framework for so called multidisciplinary free material optimization (FMO) problems, a branch of structural optimization in which the full material tensor is considered as design variable. We extend the original problem statement dating back to the 1990s by a class of generic constraints depending either on the design or on the state variables. Examples are, for instance, local stress constraints or displacement constraints. We show existence of optimal solutions for this generalized FMO problem and discuss convergent approximation schemes based on the finite element method.
Permanent Link: http://hdl.handle.net/11104/0227926