PDE-driven level sets and shape sensitivity for structural topology optimization

Michael Yu Wang, Xiaoming Wang

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther

1 Citation (Scopus)

Abstract

This paper addresses the problem of structural shape and topology optimization. A level set method is adopted as an alternative approach to the popular homogenization based methods. The paper focuses on four areas of discussion: (1) The level-set model of the structure's shape is characterized as a region and global representation; the shape boundary is embedded in a higher-dimensional scalar function as its "isosurface.κ Changes of the shape and topology are governed by a partial differential equation (PDE). (2) The velocity vector of the Hamilton-Jacobi PDE is shown to be naturally related to the shape derivative from the classical shape variational analysis. Thus, the level set method provides a natural setting to combine the rigorous shape variations into the optimization process. Finally, the benefit and the advantages of the developed method are illustrated with several 2D examples that have been extensively used in the recent literature of topology optimization, especially in the homogenization based methods.

Original languageEnglish
Title of host publicationASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages1-9
Number of pages9
DOIs
Publication statusPublished - 2004
Externally publishedYes
EventASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE) 2004 - Salt Lake City, United States of America
Duration: 28 Sept 20042 Oct 2004
https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2004/volume/46946 (Proceedings)

Conference

ConferenceASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE) 2004
Country/TerritoryUnited States of America
CitySalt Lake City
Period28/09/042/10/04
Internet address

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