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 …

The postulations á la D'Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results

F dell'Isola, P Seppecher… - Proceedings of the …, 2015 - royalsocietypublishing.org
In order to found continuum mechanics, two different postulations have been used. The first,
introduced by Lagrange and Piola, starts by postulating how the work expended by internal …

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 …

Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models

E Turco, F Dell'Isola, A Cazzani, NL Rizzi - Zeitschrift für angewandte …, 2016 - Springer
Hencky (Über die angenäherte Lösung von Stabilitätsproblemen im Raum mittels der
elastischen Gelenkkette. Ph. D. thesis, Engelmann, 1921) proposed a discrete model for …

Nonlinear transient isogeometric analysis of smart piezoelectric functionally graded material plates based on generalized shear deformation theory under thermo …

P Phung-Van, LV Tran, AJM Ferreira… - Nonlinear …, 2017 - Springer
We present a generalized shear deformation theory in combination with isogeometric (IGA)
approach for nonlinear transient analysis of smart piezoelectric functionally graded material …

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) …

Isogeometric analysis of plane-curved beams

A Cazzani, M Malagù, E Turco - Mathematics and Mechanics …, 2016 - journals.sagepub.com
A curved beam element based on the Timoshenko model and non-uniform rational B-
splines (NURBS) interpolation both for geometry and displacements is presented. Such an …

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 …

Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis

I Giorgio, NL Rizzi, E Turco - Proceedings of the Royal …, 2017 - royalsocietypublishing.org
A nonlinear two-dimensional (2D) continuum with a latent internal structure is introduced as
a coarse model of a plane network of beams which, in turn, is assumed as a model of a …

Energy approach to brittle fracture in strain-gradient modelling

L Placidi, E Barchiesi - Proceedings of the Royal Society …, 2018 - royalsocietypublishing.org
In this paper, we exploit some results in the theory of irreversible phenomena to address the
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …