Multi-scale models enriched with the second gradient of the displacement field and based
on the concept of representative volume element (RVE) are examined and discussed in …

Metamaterials exhibit materials response deviation from conventional elasticity. This
phenomenon is captured by the generalized elasticity as a result of extending the theory at …

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

By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …

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 …

Even though heterogeneous porous materials are widely used in a variety of engineering
and scientific fields, such as aerospace, energy-storage technology, and bio-engineering …

A comprehensive characterization of the novel class of anti-tetrachiral cellular solids, both
considering the static and the dynamic response, is provided in the paper. The …

The literature in the field of higher-order homogenization is mainly focused on 2-D models
aimed at composite materials, while it lacks a comprehensive model targeting 3-D lattice …

Microstructure related deviation from elastic response is known as “size-effect.”
Metamaterials–for example modeled by strain gradient elasticity–capture this effect …

The use of multifunctional composite materials adopting piezo-electric periodic cellular
lattice structures with auxetic elastic behavior is a recent and promising solution in the …