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 …
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 …
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 …
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 …
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 …
approach for nonlinear transient analysis of smart piezoelectric functionally graded material …
Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices
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) …
lattice must necessarily be a second gradient continuum, as defined in Germain (1973) …
Isogeometric analysis of plane-curved beams
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 …
splines (NURBS) interpolation both for geometry and displacements is presented. Such an …
Linear pantographic sheets: asymptotic micro-macro models identification
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 …
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
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 …
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 …
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …