Stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables

In this work we examine a plane metamaterial subjected to a generic biaxial macrostress, obtained by coupling a periodic mesh of rods with a periodic mesh of extremely flexible cables. In particular, we couple a square mesh of rods with diagonal cables with the aim of enhancing the stability perform...

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Autores principales: Francesco Trentadue, Domenico De Tommasi, Nicola Marasciuolo
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Lenguaje:EN
Publicado: Elsevier 2021
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spelling oai:doaj.org-article:cb307b1926c2480590235c9da568b2592021-12-01T05:05:55ZStability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables2666-496810.1016/j.apples.2021.100036https://doaj.org/article/cb307b1926c2480590235c9da568b2592021-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496821000029https://doaj.org/toc/2666-4968In this work we examine a plane metamaterial subjected to a generic biaxial macrostress, obtained by coupling a periodic mesh of rods with a periodic mesh of extremely flexible cables. In particular, we couple a square mesh of rods with diagonal cables with the aim of enhancing the stability performance of the obtained metamaterial. By introducing appropriate restrictions on the feasible critical modes, the study can be framed into the context of the Eulerian stability analysis and then, by means of Floquet-Bloch theory, a closed form solution for the stability domain is determined. Finally, on the basis of the previous stability analysis the optimal design problem is addressed.Francesco TrentadueDomenico De TommasiNicola MarasciuoloElsevierarticleMetamaterialsElastic stabilityPeriodic materialsEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 5, Iss , Pp 100036- (2021)
institution DOAJ
collection DOAJ
language EN
topic Metamaterials
Elastic stability
Periodic materials
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Metamaterials
Elastic stability
Periodic materials
Engineering (General). Civil engineering (General)
TA1-2040
Francesco Trentadue
Domenico De Tommasi
Nicola Marasciuolo
Stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables
description In this work we examine a plane metamaterial subjected to a generic biaxial macrostress, obtained by coupling a periodic mesh of rods with a periodic mesh of extremely flexible cables. In particular, we couple a square mesh of rods with diagonal cables with the aim of enhancing the stability performance of the obtained metamaterial. By introducing appropriate restrictions on the feasible critical modes, the study can be framed into the context of the Eulerian stability analysis and then, by means of Floquet-Bloch theory, a closed form solution for the stability domain is determined. Finally, on the basis of the previous stability analysis the optimal design problem is addressed.
format article
author Francesco Trentadue
Domenico De Tommasi
Nicola Marasciuolo
author_facet Francesco Trentadue
Domenico De Tommasi
Nicola Marasciuolo
author_sort Francesco Trentadue
title Stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables
title_short Stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables
title_full Stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables
title_fullStr Stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables
title_full_unstemmed Stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables
title_sort stability domain and design of a plane metamaterial made up of a periodic mesh of rods with cross-bracing cables
publisher Elsevier
publishDate 2021
url https://doaj.org/article/cb307b1926c2480590235c9da568b259
work_keys_str_mv AT francescotrentadue stabilitydomainanddesignofaplanemetamaterialmadeupofaperiodicmeshofrodswithcrossbracingcables
AT domenicodetommasi stabilitydomainanddesignofaplanemetamaterialmadeupofaperiodicmeshofrodswithcrossbracingcables
AT nicolamarasciuolo stabilitydomainanddesignofaplanemetamaterialmadeupofaperiodicmeshofrodswithcrossbracingcables
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