Topology optimization in structural mechanics
Tomasz Denis Lewiński , Sławomir Adam Czarnecki , Grzegorz Michał Dzierżanowski , Tomasz Grzegorz Sokół
AbstractOptimization 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.
|Journal series||Bulletin of the Polish Academy of Sciences, Technical Sciences, ISSN 0239-7528|
|Publication size in sheets||0.7|
|Keywords in English||structural optimization, topology optimization, free material design, anisotropic elasticity|
|ASJC Classification||; ; ; ;|
|Score|| = 25.0, 12-06-2020, ArticleFromJournal|
= 25.0, 12-06-2020, ArticleFromJournal
|Publication indicators||= 3; = 5; = 9.0; : 2013 = 1.411; : 2013 = 1.0 (2) - 2013=1.107 (5)|
|Citation count*||9 (2020-09-19)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.