Synthesis of fibrous complex structures: designing microstructure to deliver targeted macroscale response

F Dell'Isola, D Steigmann… - Applied …, 2015 - asmedigitalcollection.asme.org
In Mechanics, material properties are most often regarded as being given, and based on
this, many technical solutions are usually conceived and constructed. However, nowadays …

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 …

Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium

F dell'Isola, I Giorgio… - Proceedings of the …, 2016 - royalsocietypublishing.org
The aim of this paper is to find a computationally efficient and predictive model for the class
of systems that we call 'pantographic structures'. The interest in these materials was …

Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices

Y Rahali, I Giorgio, JF Ganghoffer… - International Journal of …, 2015 - Elsevier
In the present work, we show that the linearized homogenized model for a pantographic
lattice must necessarily be a second gradient continuum, as defined in Germain (1973) …

Linear pantographic sheets: asymptotic micro-macro models identification

C Boutin, I Giorgio, L Placidi - Mathematics and Mechanics of Complex …, 2017 - msp.org
In this paper we consider linear pantographic sheets, which in their natural configuration are
constituted by two orthogonal arrays of straight fibers interconnected by internal pivots. We …

A review on models for the 3D statics and 2D dynamics of pantographic fabrics

E Barchiesi, L Placidi - Wave dynamics and composite mechanics for …, 2017 - Springer
A review on models for the statics of out-of-plane deformable pantographic fabrics is
presented, along with a model describing the dynamics of in-plane-only deformable …

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 …

Micromechanics-based elasto-plastic–damage energy formulation for strain gradient solids with granular microstructure

L Placidi, E Barchiesi, A Misra, D Timofeev - Continuum Mechanics and …, 2021 - Springer
This paper is devoted to the development of a continuum theory for materials having
granular microstructure and accounting for some dissipative phenomena like damage and …

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 …

Local–global DVC analyses confirm theoretical predictions for deformation and damage onset in torsion of pantographic metamaterial

M Valmalle, A Vintache, B Smaniotto, F Gutmann… - Mechanics of …, 2022 - Elsevier
Pantographs are a special class of metamaterials that do not obey theories of first gradient
continua. In the present work, a pantographic metamaterial was 3D printed and subjected to …