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 …

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

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 …

The derivation by variational asymptotic homogenization of a 2D-continuum model
describing large elastic planar deformations of a discrete bi-pantographic structure is …

Rotating unit systems constitute one of the main classes of auxetic metamaterials. In this
work, a new design procedure for lightweight auxetic systems based on this deformation …

We discuss two examples of beam-lattice metamaterials which show attractive mechanical
properties concerning their enriched buckling. The first one considers pantographic beams …

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 …

In an analysis presented in 1909, Poynting (page 546 of [1]) had shown that for finite elastic
deformations, the lines of greatest extension and contraction are inclined to the diagonals of …