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 …

Pantographic metamaterials: an example of mathematically driven design and of its technological challenges

F Dell'Isola, P Seppecher, JJ Alibert… - Continuum Mechanics …, 2019 - Springer
In this paper, we account for the research efforts that have been started, for some among us,
already since 2003, and aimed to the design of a class of exotic architectured, optimized …

Advances in pantographic structures: design, manufacturing, models, experiments and image analyses

F dell'Isola, P Seppecher, M Spagnuolo… - Continuum Mechanics …, 2019 - Springer
In the last decade, the exotic properties of pantographic metamaterials have been
investigated and different mathematical models (both discrete or continuous) have been …

A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results

L Placidi, E Barchiesi, A Misra - Mathematics and Mechanics of Complex …, 2018 - msp.org
The global response of experimental uniaxial tests cannot be homogeneous, because of the
unavoidable presence of localized deformations, which is always preferential from an …

[HTML][HTML] Research perspective on multiphysics and multiscale materials: a paradigmatic case

A Ciallella - Continuum Mechanics and Thermodynamics, 2020 - Springer
Pantographic fabrics are presented as a paradigmatic example to discuss the research
perspective on multiphysics and multiscale materials. Reduced-order modeling, obtained by …

Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

D Timofeev, E Barchiesi, A Misra… - … and Mechanics of …, 2021 - journals.sagepub.com
Mechanical behavior of materials with granular microstructures is confounded by unique
features of their grain-scale mechano-morphology, such as the tension–compression …

[HTML][HTML] 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 …

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 …

Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation

E Barchiesi, SR Eugster… - … and Mechanics of …, 2020 - journals.sagepub.com
Bi-pantographic fabrics are composed of two families of pantographic beams and
correspond to a class of architectured materials that are described in plane as second …