Stiffness optimization in nonlinear pantographic structures

B Desmorat, M Spagnuolo… - … and Mechanics of Solids, 2020 - journals.sagepub.com
Mechanical metamaterials are microstructured mechanical systems showing an overall
macroscopic behaviour that depends mainly on their microgeometry and microconstitutive …

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 …

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] 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 …

[HTML][HTML] Two layers pantographs: a 2D continuum model accounting for the beams' offset and relative rotations as averages in SO (3) Lie groups

I Giorgio, V Varano, F Dell'Isola, NL Rizzi - International Journal of Solids …, 2021 - Elsevier
In the problem of the synthesis of metamaterials, the pantographic architecture revealed
remarkable potentialities. Indeed it allowed for the synthesis of second gradient 2D …

Material characterization and computations of a polymeric metamaterial with a pantographic substructure

H Yang, G Ganzosch, I Giorgio, BE Abali - Zeitschrift für angewandte …, 2018 - Springer
The development of additive manufacturing methods, such as 3D printing, allows the design
of more complex architectured materials. Indeed, the main structure can be obtained by …

A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers

I Giorgio, NL Rizzi, U Andreaus… - … and mechanics of complex …, 2019 - msp.org
Recently growing attention has been paid to the particular class of metamaterials which has
been called pantographic. Pantographic metamaterials have the following peculiar …

How the properties of pantographic elementary lattices determine the properties of pantographic metamaterials

E Turco - New achievements in continuum mechanics and …, 2019 - Springer
In this paper we describe a three-scales homogenization process which we use to
determine a macroscopic model for pantographic metamaterials. The smallest scale refers to …

Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime

N Shekarchizadeh, M Laudato, L Manzari… - … Mathematik und Physik, 2021 - Springer
Pantographic structures are examples of metamaterials with such a microstructure that
higher-gradient terms' role is increased in the mechanical response. In this work, we aim for …

A 1D continuum model for beams with pantographic microstructure: asymptotic micro-macro identification and numerical results

E Barchiesi, F Dell'Isola, M Laudato, L Placidi… - Advances in mechanics …, 2018 - Springer
In the standard asymptotic micro-macro identification theory, starting from a De Saint-Venant
cylinder, it is possible to prove that, in the asymptotic limit, only flexible, inextensible, beams …