In this paper, we give a review of the state of the art in the study of mechanical
metamaterials. The very attractive property of having a microstructure capable of …

In order to found continuum mechanics, two different postulations have been used. The first,
introduced by Lagrange and Piola, starts by postulating how the work expended by internal …

Hencky (Über die angenäherte Lösung von Stabilitätsproblemen im Raum mittels der
elastischen Gelenkkette. Ph. D. thesis, Engelmann, 1921) proposed a discrete model for …

Since the first studies dedicated to the mechanics of deformable bodies (by Euler,
D'Alembert, Lagrange) the principle of virtual work (or virtual velocities) has been used to …

In this paper we consider linear pantographic sheets, which in their natural configuration are
constituted by two orthogonal arrays of straight fibers interconnected by internal pivots. We …

A nonlinear two-dimensional (2D) continuum with a latent internal structure is introduced as
a coarse model of a plane network of beams which, in turn, is assumed as a model of a …

In this paper, we exploit some results in the theory of irreversible phenomena to address the
study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum …

In order to design the microstructure of metamaterials showing high toughness in extension
(property to be shared with muscles), it has been recently proposed (Dell'Isola et al. in Z …

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 …

Cosserat continuum model has attracted increasing interest for describing the mechanical
behavior of microstructured solids. Existing formulation of Cosserat continuum model often …