A computational study of symmetry and wellposedness of structural topology optimization
Abstract
We report on computational topological optimization of elastic structures, in particular minimization of compliance subject to a constraint on the mass. Through computational experiments, it is discovered that even very simple optimization problems can exhibit complex behavior such as critical points and bifurcation. In the vicinity of significant points, structural topology optimization problems are not wellposed since infinitesimally small perturbations lead to distinct topologies.
 Authors:

 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1557061
 Report Number(s):
 LLNLJRNL761457
Journal ID: ISSN 1615147X; 949598
 Grant/Contract Number:
 AC5207NA27344
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Structural and Multidisciplinary Optimization
 Additional Journal Information:
 Journal Volume: 59; Journal Issue: 3; Journal ID: ISSN 1615147X
 Publisher:
 Springer
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Structures; Topology; Optimization; Bifurcation; Wellposed
Citation Formats
White, Daniel A., and Voronin, Alexey. A computational study of symmetry and wellposedness of structural topology optimization. United States: N. p., 2018.
Web. doi:10.1007/s0015801820989.
White, Daniel A., & Voronin, Alexey. A computational study of symmetry and wellposedness of structural topology optimization. United States. doi:10.1007/s0015801820989.
White, Daniel A., and Voronin, Alexey. Thu .
"A computational study of symmetry and wellposedness of structural topology optimization". United States. doi:10.1007/s0015801820989. https://www.osti.gov/servlets/purl/1557061.
@article{osti_1557061,
title = {A computational study of symmetry and wellposedness of structural topology optimization},
author = {White, Daniel A. and Voronin, Alexey},
abstractNote = {We report on computational topological optimization of elastic structures, in particular minimization of compliance subject to a constraint on the mass. Through computational experiments, it is discovered that even very simple optimization problems can exhibit complex behavior such as critical points and bifurcation. In the vicinity of significant points, structural topology optimization problems are not wellposed since infinitesimally small perturbations lead to distinct topologies.},
doi = {10.1007/s0015801820989},
journal = {Structural and Multidisciplinary Optimization},
number = 3,
volume = 59,
place = {United States},
year = {2018},
month = {10}
}
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Cited by: 3 works
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Fig. 1: A TwoDimensional Cantilever Beam Problem
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Works referencing / citing this record:
Formation of periodic ribbed or lattice structures in topology optimization assisted by biological pattern formation
journal, November 2019
 Fukada, Yoshiki
 Structural and Multidisciplinary Optimization, Vol. 61, Issue 3
An adaptive hybrid expansion method (AHEM) for efficient structural topology optimization under harmonic excitation
journal, January 2020
 Zhao, Junpeng; Yoon, Heonjun; Youn, Byeng D.
 Structural and Multidisciplinary Optimization, Vol. 61, Issue 3
Figures / Tables found in this record:
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