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 …
be exploited for some well-specified technological application. In this context we focus on …
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 …
Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium
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 …
At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio …
Gabrio Piola's scientific papers have been underestimated in mathematical physics
literature. Indeed, a careful reading of them proves that they are original, deep and far …
literature. Indeed, a careful reading of them proves that they are original, deep and far …
A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
The global response of experimental uniaxial tests cannot be homogeneous, because of the
unavoidable presence of localized deformations, which is always preferential from an …
unavoidable presence of localized deformations, which is always preferential from an …
Strain gradient and generalized continua obtained by homogenizing frame lattices
H Abdoul-Anziz, P Seppecher - Mathematics and mechanics of complex …, 2018 - msp.org
We determine the effective behavior of periodic structures made of welded elastic bars.
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …
Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
In this paper a stationary action principle is proved to hold for capillary fluids, ie fluids for
which the deformation energy has the form suggested, starting from molecular arguments …
which the deformation energy has the form suggested, starting from molecular arguments …
Energy approach to brittle fracture in strain-gradient modelling
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 …
Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model
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 …
∘ 90∘ rotation and for mirror transformation is considered. Such anisotropy is the most …
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution
Mechanical behavior of materials with granular microstructures is confounded by unique
features of their grain-scale mechano-morphology, such as the tension–compression …
features of their grain-scale mechano-morphology, such as the tension–compression …