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 …

We consider a bi-dimensional sheet consisting of two orthogonal families of inextensible
fibres. Using the representation due to Rivlin and Pipkin for admissible placements, ie …

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 …

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 …

The central theme of this study is to investigate a remarkable capability of a second-gradient
continuum model developed for pantographic structures. The model is applied to a particular …

A continuum theory of pantographic lattices, based on second-grade elasticity, is presented.
The proposed model is able to describe the mechanical behavior of a type of material …

In the problem of the synthesis of metamaterials, the pantographic architecture revealed
remarkable potentialities. Indeed it allowed for the synthesis of second gradient 2D …

Pantographic sheets are metamaterials showing some interesting mechanical features. The
mechanical behavior of planar pantographic sheets has been studied by means of second …

In [1] a novel metamaterial has been designed and studied, whose performances include an
enhanced toughness in extension: one of the problems to be solved in the further …

Mechanical properties are investigated for a class of microstructured materials with
promising applications. Specifically, we consider a composite material with orthogonal …