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.
https://hal.sorbonne-universite.fr/hal-00933545
Contributor : Charles Dapogny <>
Submitted on : Tuesday, July 22, 2014 - 2:44:36 AM Last modification on : Wednesday, December 9, 2020 - 3:12:32 PM Long-term archiving on: : Monday, November 24, 2014 - 9:41:11 PM
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⟩