Topology optimization in structural mechanics

Tomasz Denis Lewiński , Sławomir Adam Czarnecki , Grzegorz Michał Dzierżanowski , Tomasz Grzegorz Sokół

Abstract

Optimization of structural topology, called briefly: topology optimization, is a relatively new branch of structural optimization. Its aim is to create optimal structures, instead of correcting the dimensions or changing the shapes of initial designs. For being able to create the structure, one should have a possibility to handle the members of zero stiffness or admit the material of singular constitutive properties, i.e. void. In the present paper, four fundamental problems of topology optimization are discussed: Michell’s structures, two-material layout problem in light of the relaxation by homogenization theory, optimal shape design and the free material design. Their features are disclosed by presenting results for selected problems concerning the same feasible domain, boundary conditions and applied loading. This discussion provides a short introduction into current topics of topology optimization.
Author Tomasz Denis Lewiński (FCE / ICE)
Tomasz Denis Lewiński,,
- The Institute of Civil Engineering
, Sławomir Adam Czarnecki (FCE / ICE)
Sławomir Adam Czarnecki,,
- The Institute of Civil Engineering
, Grzegorz Michał Dzierżanowski (FCE / ICE)
Grzegorz Michał Dzierżanowski,,
- The Institute of Civil Engineering
, Tomasz Grzegorz Sokół (FCE / ICE)
Tomasz Grzegorz Sokół,,
- The Institute of Civil Engineering
Journal seriesBulletin of the Polish Academy of Sciences, Technical Sciences, ISSN 0239-7528
Issue year2013
Vol61
No1
Pages23-37
Publication size in sheets0.7
Keywords in Englishstructural optimization, topology optimization, free material design, anisotropic elasticity
ASJC Classification1702 Artificial Intelligence; 1705 Computer Networks and Communications; 2200 General Engineering; 1710 Information Systems; 3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.2478/bpasts-2013-0002
Languageen angielski
File
Topology optimization in structural mechanics.pdf 3.78 MB
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 25.0, 12-06-2020, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 12-06-2020, ArticleFromJournal
Publication indicators WoS Citations = 3; Scopus Citations = 5; GS Citations = 9.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 1.411; WoS Impact Factor: 2013 = 1.0 (2) - 2013=1.107 (5)
Citation count*9 (2020-09-19)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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