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 …

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

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 …

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 …

Linear pantographic sheets: existence and uniqueness of weak solutions

VA Eremeyev, F Dell'Isola, C Boutin, D Steigmann - Journal of Elasticity, 2018 - Springer
The well-posedness of the boundary value problems for second gradient elasticity has been
studied under the assumption of strong ellipticity of the dependence on the second …

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 …

On the effect of shear stiffness on the plane deformation of linear second gradient pantographic sheets

D Scerrato, IA Zhurba Eremeeva… - ZAMM‐Journal of …, 2016 - Wiley Online Library
Recently it has been proposed the study of a new class of bidimensional metamaterials,
which have been called extensible pantographic sheets. Such bidimensional continua are …

Exegesis of Sect. II and III. A from “Fundamentals of the Mechanics of Continua” by E. Hellinger

SR Eugster, F Dell'Isola - ZAMM‐Journal of Applied …, 2018 - Wiley Online Library
This is a second exegetic essay on the fundamental review article DIE ALLGEMEINEN
ANSÄTZE DER MECHANIK DER KONTINUA in the Encyklopädie der mathematischen …

Paradoxes in dynamic stability of mechanical systems: investigating the causes and detecting the nonlinear behaviors

A Luongo, M Ferretti, F D'Annibale - SpringerPlus, 2016 - Springer
A critical review of three paradoxical phenomena, occurring in the dynamic stability of finite-
dimensional autonomous mechanical systems, is carried out. In particular, the well-known …

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

J Chróścielewski, R Schmidt, VA Eremeyev - Continuum Mechanics and …, 2019 - Springer
This paper addresses modeling and finite element analysis of the transient large-amplitude
vibration response of thin rod-type structures (eg, plane curved beams, arches, ring shells) …

Suppression of limit cycle oscillations using the nonlinear tuned vibration absorber

G Habib, G Kerschen - Proceedings of the Royal Society …, 2015 - royalsocietypublishing.org
The objective of this study is to mitigate, or even completely eliminate, the limit cycle
oscillations in mechanical systems using a passive nonlinear absorber, termed the …