A review on 2D models for the description of pantographic fabrics

L Placidi, E Barchiesi, E Turco, NL Rizzi - Zeitschrift für angewandte …, 2016 - Springer
A review on models for pantographic fabrics, a new promising kind of metamaterials, is
presented. We treat those models that are able to capture the peculiar effects conferred by …

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 …

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 …

Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity

U Andreaus, F Dell'Isola, I Giorgio, L Placidi… - International Journal of …, 2016 - Elsevier
A two-dimensional solid consisting of a linear elastic isotropic material is considered in this
paper. The strain energy is expressed as a function of the strain and of the gradient of strain …

Finite-element analysis of polyhedra under point and line forces in second-strain gradient elasticity

JC Reiher, I Giorgio, A Bertram - Journal of Engineering Mechanics, 2017 - ascelibrary.org
In this paper, a finite-element implementation of linear second-strain gradient elasticity is
introduced based on a Hellinger-Reissner variational principle in order to use standard finite …

Fiber rupture in sheared planar pantographic sheets: numerical and experimental evidence

E Turco, F Dell'Isola, NL Rizzi, R Grygoruk… - Mechanics Research …, 2016 - Elsevier
Pantographic sheets are metamaterials showing some interesting mechanical features. The
mechanical behavior of planar pantographic sheets has been studied by means of second …

Wave propagation in a generalized thermoelastic plate using eigenvalue approach

IA Abbas, AENN Abdalla, FS Alzahrani… - Journal of Thermal …, 2016 - Taylor & Francis
In the present work, we obtain a dispersion relation for Rayleigh–Lamb wave propagation in
a plate of thermoelastic material. For this aim, we consider the theory of generalized …

A second gradient formulation for a 2D fabric sheet with inextensible fibres

L Placidi, L Greco, S Bucci, E Turco… - Zeitschrift für angewandte …, 2016 - Springer
We present numerical simulations of rectangular woven fabrics made of two, initially
orthogonal, families of inextensible fibres. We consider an energy functional which includes …

Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

D Scerrato, I Giorgio, NL Rizzi - Zeitschrift für angewandte Mathematik und …, 2016 - Springer
In this paper, we determine numerically a large class of equilibrium configurations of an
elastic two-dimensional continuous pantographic sheet in three-dimensional deformation …

Exegesis of the Introduction and Sect. I from “Fundamentals of the Mechanics of Continua”** by E. Hellinger

SR Eugster, F Dell'Isola - ZAMM‐Journal of Applied …, 2017 - Wiley Online Library
The fundamental review article DIE ALLGEMEINEN ANSÄTZE DER MECHANIK DER
KONTINUA in the Encyklopädie der mathematischen Wissenschaften mit Einschluss ihrer …