An Explicit Construction of the Underlying Laminated Microstructure of the Least Compliant Elastic Bodies

Sławomir Adam Czarnecki


The paper discusses the problem of recovery of the microstructure of the least compliant bodies of non-homogeneous optimal isotropic properties predicted by the Isotropic Material Design method. The three-dimensional microstructure is assumed as constructed by a subsequent lamination process in which two isotropic materials of ordered properties are used, the process being repeated three or six times, subsequently. The Hooke tensors closest to the optimal ones are found by making use of the analytical Francfort – Murat formulae for effective moduli of third and sixth rank sequential laminates. The ability to model an auxetic behavior within the subdomains where the optimal Poisson ’ s ratio assumes negative values is also shown.
Author Sławomir Adam Czarnecki (FCE / ICE)
Sławomir Adam Czarnecki,,
- The Institute of Civil Engineering
Journal seriesPhysica Status Solidi B - Basic Solid State Physics, ISSN 0370-1972
Issue year2019
Keywords in EnglishMicroscopic Models, Auxetics
ASJC Classification3104 Condensed Matter Physics; 2504 Electronic, Optical and Magnetic Materials
Languageen angielski
z52_2018.pdf 333.71 KB
Score (nominal)70
Score sourcejournalList
ScoreMinisterial score = 70.0, 15-12-2019, ArticleFromJournal
Publication indicators Scopus Citations = 1; WoS Citations = 1; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.811; WoS Impact Factor: 2018 = 1.454 (2) - 2018=1.528 (5)
Citation count*1 (2020-06-20)
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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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