NDLI: Shape and topology optimization for periodic problems : Part I: The shape and the topological derivative

Content Provider	Springer Nature Link
Author	Barbarosie, Cristian Toader, Anca Maria
Copyright Year	2009
Abstract	In the present paper we deduce formulae for the shape and topological derivatives for elliptic problems in unbounded domains subject to periodicity conditions. Note that the known formulae of shape and topological derivatives for elliptic problems in bounded domains do not apply to the periodic framework. We consider a general notion of periodicity, allowing for an arbitrary parallelepiped as periodicity cell. Our calculations are useful for optimizing periodic composite materials by gradient type methods using the topological derivative jointly with the shape derivative for periodic problems. Important particular cases of functionals to minimize/maximize are presented. A numerical algorithm for optimizing periodic composites using the topological and shape derivatives is the subject of a second paper (Barbarosie and Toader, Struct Multidiscipl Optim, 2009).
Starting Page	381
Ending Page	391
Page Count	11
File Format	PDF
ISSN	1615147X
Journal	Structural and Multidisciplinary Optimization
Volume Number	40
Issue Number	1-6
e-ISSN	16151488
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-04-23
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Optimization of microstructures Shape derivative Topological derivative Periodic homogenization Porous materials Engineering Design Computational Mathematics and Numerical Analysis Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Computer Graphics and Computer-Aided Design Control and Systems Engineering Computer Science Applications Software

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