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Minimum stress optimal design with the level set method

delete2008-11-01
delete141
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OA
AI
G
Grégoire Allaire *
F
François Jouve
DOI:10.1016/j.enganabound.2007.05.007delete
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Abstract

Abstract

En 中文
This paper is devoted to minimum stress design in structural optimization. We propose a simple and efficient numerical algorithm for shape and topology optimization based on the level set method coupled with the topological derivative. We compute a shape derivative, as well as a topological derivative, for a stress-based objective function. Using an adjoint equation we implement a gradient algorithm for the minimization of the objective function. Several numerical examples in 2-d and 3-d are discussed. (c) 2008 Elsevier Ltd. All rights reserved.
Keywords:
Level set method
Shape derivative
Topological derivative
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Journal

Engineering Analysis with Boundary Elements cover
Engineering Analysis with Boundary Elements
IF:
4.1
Papers:
5.8K
Citations:
9.4K

Organization

C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279
I
institut polytechnique de paris
Scholars:
1.3W
Papers: 1.0W
Citations: 6