Recent frontiers in material development are represented by a class of so-called auxetic metamaterials that, thanks to their structure rather than composition, are characterized by a negative Poisson’s ratio. In the present paper a two-dimensional auxetic plate, made by structural straight elements forming a lattice periodic structure with re-entrant cells, is considered. A thorough discussion on the linear and geometrically nonlinear deformability of the auxetic plate is presented. The key geometric parameters governing the deformability of the plate are identified, and some analytical expressions for calculating the Poisson’s ratio, as a function of the applied strain, are given. Numerical (finite element) analyses and experimental tests on 3D printed specimens are carried out to verify the theoretical findings. For the latter ones, full field strain maps are obtained by means of a suitable interpolation of the sampled displacement field measured by digital image techniques.

Nonlinear deformation behaviour of auxetic cellular materials with re-entrant lattice structure / Brighenti, Roberto; Spagnoli, Andrea; Lanfranchi, M.; Soncini, F.. - In: FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES. - ISSN 1460-2695. - 39:5(2016), pp. 599-610. [10.1111/ffe.12381]

Nonlinear deformation behaviour of auxetic cellular materials with re-entrant lattice structure

BRIGHENTI, Roberto;SPAGNOLI, Andrea;
2016-01-01

Abstract

Recent frontiers in material development are represented by a class of so-called auxetic metamaterials that, thanks to their structure rather than composition, are characterized by a negative Poisson’s ratio. In the present paper a two-dimensional auxetic plate, made by structural straight elements forming a lattice periodic structure with re-entrant cells, is considered. A thorough discussion on the linear and geometrically nonlinear deformability of the auxetic plate is presented. The key geometric parameters governing the deformability of the plate are identified, and some analytical expressions for calculating the Poisson’s ratio, as a function of the applied strain, are given. Numerical (finite element) analyses and experimental tests on 3D printed specimens are carried out to verify the theoretical findings. For the latter ones, full field strain maps are obtained by means of a suitable interpolation of the sampled displacement field measured by digital image techniques.
2016
Nonlinear deformation behaviour of auxetic cellular materials with re-entrant lattice structure / Brighenti, Roberto; Spagnoli, Andrea; Lanfranchi, M.; Soncini, F.. - In: FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES. - ISSN 1460-2695. - 39:5(2016), pp. 599-610. [10.1111/ffe.12381]
File in questo prodotto:
File Dimensione Formato  
FFEMS revised.pdf

accesso aperto

Tipologia: Documento in Post-print
Licenza: Creative commons
Dimensione 3.39 MB
Formato Adobe PDF
3.39 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2806109
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 41
  • ???jsp.display-item.citation.isi??? 41
social impact