Starting from the seminal works of Toupin, Mindlin and Germain, a wide class of generalized
elastic models have been proposed via the principle of virtual work, by postulating …

In this paper, we account for the research efforts that have been started, for some among us,
already since 2003, and aimed to the design of a class of exotic architectured, optimized …

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 …

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

Strain gradient theory is an accurate model for capturing the size effect and localization
phenomena. However, the challenge in identification of corresponding constitutive …

Pantographic fabrics are presented as a paradigmatic example to discuss the research
perspective on multiphysics and multiscale materials. Reduced-order modeling, obtained by …

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 well-posedness of the boundary value problems for second gradient elasticity has been
studied under the assumption of strong ellipticity of the dependence on the second …

Among the most studied models in mathematical physics, Timoshenko beam is outstanding
for its importance in technological applications. Therefore it has been extensively studied …

The problem of the synthesis of second gradient (meta) materials, via architectured
microstructures made of micro-lattices, has been solved (Alibert et al., 2003; Seppecher et …