Minimum compliance with obstacle constraints: an active set approach

We present a new approach to optimal design with state constraints based on active set optimization theory and implement it using a phase-field model. Our primary focus is on compliance minimization subject to inner and outer obstacles. We compare our approach to a classical penalization method and...

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Bibliographic Details
Published inStructural and multidisciplinary optimization Vol. 65; no. 4
Main Authors Tran, Nha Van, Bourdin, Blaise
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2022
Springer Nature B.V
Subjects
Barriers
Compliance
Computational Mathematics and Numerical Analysis
Design optimization
Engineering
Engineering Design
Equilibrium
Optimization
Research Paper
Theoretical and Applied Mechanics
Topology optimization
Penalization method
Obstacle
Active set method
Phase-field method
State constraints
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Summary:We present a new approach to optimal design with state constraints based on active set optimization theory and implement it using a phase-field model. Our primary focus is on compliance minimization subject to inner and outer obstacles. We compare our approach to a classical penalization method and study the influence of initial guess, penalization parameters, and discretization.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-022-03199-9