Shape optimization with a level set based mesh evolution method

Abstract : 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.
Document type :
Journal articles
Liste complète des métadonnées

Cited literature [64 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-00933545
Contributor : Charles Dapogny <>
Submitted on : Tuesday, July 22, 2014 - 2:44:36 AM
Last modification on : Sunday, March 31, 2019 - 1:38:36 AM
Document(s) archivé(s) le : Monday, November 24, 2014 - 9:41:11 PM

File

shapeopfinal5.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00933545, version 2

Citation

Grégoire Allaire, Charles Dapogny, Pascal Frey. Shape optimization with a level set based mesh evolution method. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2014, pp.doi:10.1016/j.cma.2014.08.028. ⟨hal-00933545v2⟩

Share

Metrics

Record views

1224

Files downloads

1006