STABLE OPTIMAL-DESIGN OF 2-DIMENSIONAL ELASTIC STRUCTURES

Authors
CHERKAEV AV KROG LA KUCUK I
Citation
Av. Cherkaev et al., STABLE OPTIMAL-DESIGN OF 2-DIMENSIONAL ELASTIC STRUCTURES, Control and Cybernetics, 27(2), 1998, pp. 265-282
Citations number
11
Categorie Soggetti
Computer Science Cybernetics","Robotics & Automatic Control","Computer Science Cybernetics","Robotics & Automatic Control
Journal title
Control and Cybernetics → ACNP
ISSN journal
03248569
Volume
27
Issue
2
Year of publication
1998
Pages
265 - 282
Database
ISI
SICI code
0324-8569(1998)27:2<265:SOO2ES>2.0.ZU;2-R
Abstract
We study optimal layout of piece-wise periodic structures of linearly elastic materials. The effective tensors of these structures are const ant within pre-specified regions, the optimality is understood as the minimum of complementary energy. The suggested formulation leads to a construction that is stable under variation of the loading and which d oes not degenerates into checkerboard type structures. We derive neces sary conditions of optimality of such layouts and analyze them. Numeri cally, we find optimal structures for a number of examples, which are analyzed.