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 …

In this paper, we give a targeted review of the state of the art in the study of planar elastic
beams in large deformations, also in the presence of geometric nonlinearities. The main …

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 …

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

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 …

Fiber-reinforced composites are materials that display a great potentiality in many
applications for their multifaceted features. The employment of curved fibers contributes to …

In this paper we present a model in which the motions of two families of beams constituting a
pantographic sheet, when described with two independent placement fields, allows to …

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

Bi-pantographic fabrics are composed of two families of pantographic beams and
correspond to a class of architectured materials that are described in plane as second …

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 …