Dynamic problems for metamaterials: review of existing models and ideas for further research

D Del Vescovo, I Giorgio - International Journal of Engineering Science, 2014 - Elsevier
Metamaterials are materials especially engineered to have a peculiar physical behaviour, to
be exploited for some well-specified technological application. In this context we focus on …

Piezo-electromechanical smart materials with distributed arrays of piezoelectric transducers: current and upcoming applications

I Giorgio, L Galantucci, A Della Corte… - … Journal of Applied …, 2015 - content.iospress.com
This review paper intends to gather and organize a series of works which discuss the
possibility of exploiting the mechanical properties of distributed arrays of piezoelectric …

A unifying perspective: the relaxed linear micromorphic continuum

P Neff, ID Ghiba, A Madeo, L Placidi, G Rosi - Continuum Mechanics and …, 2014 - Springer
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy
force stresses and curvature contribution depending only on the micro-dislocation tensor …

Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model

L Placidi, U Andreaus, I Giorgio - Journal of Engineering Mathematics, 2017 - Springer
A linear elastic second gradient orthotropic two-dimensional solid that is invariant under 90^
∘ 90∘ rotation and for mirror transformation is considered. Such anisotropy is the most …

Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps

A Madeo, P Neff, ID Ghiba, L Placidi, G Rosi - Continuum Mechanics and …, 2015 - Springer
In this paper, the relaxed micromorphic model proposed in Ghiba et al.(Math Mech Solids,
2013), Neff et al.(Contin Mech Thermodyn, 2013) has been used to study wave propagation …

Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients

L Placidi, U Andreaus, AD Corte… - Zeitschrift für angewandte …, 2015 - Springer
In the present paper, a two-dimensional solid consisting of a linear elastic isotropic material,
for which the deformation energy depends on the second gradient of the displacement, is …

Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory

M Ferretti, A Madeo, F Dell'Isola, P Boisse - Zeitschrift für angewandte …, 2014 - Springer
It has been known since the pioneering works by Piola, Cosserat, Mindlin, Toupin, Eringen,
Green, Rivlin and Germain that many micro-structural effects in mechanical systems can be …

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 …

An isogeometric implicit G1 mixed finite element for Kirchhoff space rods

L Greco, M Cuomo - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
In the paper we present a multi patch isogeometric mixed element with implicit geometric
continuity at the ends for the analysis of non polar Kirchhoff space rods. Rotations are …

A variational model based on isogeometric interpolation for the analysis of cracked bodies

M Cuomo, L Contrafatto, L Greco - International Journal of Engineering …, 2014 - Elsevier
A variational model for the analysis of crack evolution is presented. The method considers
strong discontinuities that evolve according to the principles of cohesive fracture mechanics …