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Shape optimization with a level set based mesh evolution method

delete2014-12-01
delete105
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G
Grégoire Allaire
C
Charles Dapogny *
P
Pascal Frey
DOI:10.1016/j.cma.2014.08.028delete
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摘要

摘要

En 中文
In this article, we discuss an approach for geometry and topology optimization of structures which benefits from an accurate description of shapes at each stage of the iterative process - by means of a mesh amenable for mechanical analyses - while retaining the whole versatility of the level set method when it comes to accounting for their evolution. The key ingredients of this method are two operators for switching from a meshed representation of a domain to an implicit one, and conversely; this notably brings into play an algorithm for generating the signed distance function to an arbitrary discrete domain, and a mesh generation algorithm for implicitly-defined geometries. (C) 2014 Elsevier B.V. All rights reserved.
Keyword:
Geometry and topology optimization
Level set method
Meshing and remeshing
Signed distance function
Linear elasticity
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期刊

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

机构

C
centre national de la recherche scientifique (cnrs)
学者数:
24.5W
论文数: 18.2W
被引数: 279
C
cnrs - national institute for mathematical sciences (insmi)
学者数:
650
论文数: 548
被引数: 0
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