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 …

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 …

In continuum mechanics, the non-centrosymmetric micropolar theory is usually used to
capture the chirality inherent in materials. However, when reduced to a two dimensional …

The homogenization of periodic hexachiral and tetrachiral honeycombs is dealt with two
different techniques. The first is based on a micropolar homogenization. The second …

Extensions of classical homogenization methods are presented that are used to replace a
composite material by an effective generalized continuum model. Homogeneous equivalent …

In the present paper spaces of fifth-order tensors involved in bidimensional strain gradient
elasticity are studied. As a result complete sets of matrices representing these tensors in …

A methodology for the construction of effective strain gradient media for heterogeneous
materials is proposed, combining a variational principle in linear elasticity with the extended …

A computational homogenization method to determine the effective parameters of Mindlin's
Strain Gradient Elasticity (SGE) model from a local heterogeneous Cauchy linear material is …

In this paper we model the size-effects of metamaterial beams under bending with the aid of
the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness …

A 1-dimensional second gradient damage continuum theory is presented within the
framework of the variational approach. The action is intended to depend not only with …