Metamaterials are materials especially engineered to have a peculiar physical behaviour, to
be exploited for some well-specified technological application. In this context we focus on …

This review paper intends to gather and organize a series of works which discuss the
possibility of exploiting the mechanical properties of distributed arrays of piezoelectric …

Gabrio Piola's scientific papers have been underestimated in mathematical physics
literature. Indeed, a careful reading of them proves that they are original, deep and far …

The classical Cauchy continuum theory is suitable to model highly homogeneous materials.
However, many materials, such as porous media or metamaterials, exhibit a pronounced …

Abstract Let Ω⊂ R 3 be an open and bounded set with Lipschitz boundary and outward unit
normal ν. For 1< p<∞ we establish an improved version of the generalized L p-Korn …

This paper presents the formulation and a partial analysis of a class of discontinuous
Galerkin methods for quasistatic non‐linear elasticity problems. These methods are …

In this paper, we study the anisotropy classes of the fourth order elastic tensors of the
relaxed micromorphic model, also introducing their second order counterpart by using a …

For a bounded domain Ω⊂ R 3 with Lipschitz boundary Γ and some relatively open
Lipschitz subset Γ t≠∅ of Γ, we prove the existence of some c> 0, such that (0.1) c‖ T‖ L 2 …

We investigate geometrically exact generalized continua of micromorphic type in the sense
of Eringen. The two-field problem for the macrodeformation φ and the affine …

We investigate weaker than usual constitutive assumptions in linear Cosserat theory still
providing for existence and uniqueness and show a continuous dependence result for …