Mechanical metamaterials: a state of the art

E Barchiesi, M Spagnuolo… - … and Mechanics of Solids, 2019 - journals.sagepub.com
In this paper, we give a review of the state of the art in the study of mechanical
metamaterials. The very attractive property of having a microstructure capable of …

A review on 2D models for the description of pantographic fabrics

L Placidi, E Barchiesi, E Turco, NL Rizzi - Zeitschrift für angewandte …, 2016 - Springer
A review on models for pantographic fabrics, a new promising kind of metamaterials, is
presented. We treat those models that are able to capture the peculiar effects conferred by …

[HTML][HTML] A 3D pantographic metamaterial behaving as a mechanical shield: Experimental and numerical evidence

A Ciallella, I Giorgio, E Barchiesi, G Alaimo… - Materials & Design, 2024 - Elsevier
Multilayer pantographic metamaterials, in short, pantographic blocks, have shown peculiar
mechanical behavior, especially when their constitutive hinges are revolving (ie, perfect) …

Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis

H Yang, BE Abali, D Timofeev, WH Müller - Continuum mechanics and …, 2020 - Springer
By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …

Two-dimensional strain gradient damage modeling: a variational approach

L Placidi, A Misra, E Barchiesi - Zeitschrift für angewandte Mathematik und …, 2018 - Springer
In this paper, we formulate a linear elastic second gradient isotropic two-dimensional
continuum model accounting for irreversible damage. The failure is defined as the condition …

Linear pantographic sheets: existence and uniqueness of weak solutions

VA Eremeyev, F Dell'Isola, C Boutin, D Steigmann - Journal of Elasticity, 2018 - Springer
The well-posedness of the boundary value problems for second gradient elasticity has been
studied under the assumption of strong ellipticity of the dependence on the second …

Qualitative pivot damage analysis in aluminum printed pantographic sheets: numerics and experiments

M Spagnuolo, K Barcz, A Pfaff, F Dell'Isola… - Mechanics Research …, 2017 - Elsevier
In this paper we present a model in which the motions of two families of beams constituting a
pantographic sheet, when described with two independent placement fields, allows to …

Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures

I Giorgio - Zeitschrift für angewandte Mathematik und Physik, 2016 - Springer
In order to design the microstructure of metamaterials showing high toughness in extension
(property to be shared with muscles), it has been recently proposed (Dell'Isola et al. in Z …

[HTML][HTML] Dynamic crushing of double-arrowed auxetic structure under impact loading

X Zhao, Q Gao, L Wang, Q Yu, ZD Ma - Materials & Design, 2018 - Elsevier
Double-arrowed auxetic (DAA) structures with a negative Poisson's ratio have recently
drawn increasing attention. This paper deduces the empirical formula of critical impact …

[HTML][HTML] Enhanced Piola–Hencky discrete models for pantographic sheets with pivots without deformation energy: numerics and experiments

E Turco, A Misra, M Pawlikowski, F Dell'Isola… - International Journal of …, 2018 - Elsevier
The problem of the synthesis of second gradient (meta) materials, via architectured
microstructures made of micro-lattices, has been solved (Alibert et al., 2003; Seppecher et …