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 …

Metamaterials exhibit materials response deviation from conventional elasticity. This
phenomenon is captured by the generalized elasticity as a result of extending the theory at …

In this paper we model the size-effects of metamaterial beams under bending with the aid of
the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness …

Even though heterogeneous porous materials are widely used in a variety of engineering
and scientific fields, such as aerospace, energy-storage technology, and bio-engineering …

Metamaterials response is generally modeled by generalized continuum based theories.
Their inherent substructure leads to a necessity for higher‐order theories, and especially in …

We determine the material parameters in the relaxed micromorphic generalized continuum
model for a given periodic microstructure in this work. This is achieved through a least …

In this paper, a novel parameter determination technique is developed for material models in
continuum mechanics aimed at describing metamaterials. Owing to their peculiar …

The linear theory of coupled gradient elasticity has been considered for hemitropic second
gradient materials, specifically the positive definiteness of the strain and strain gradient …

As there are different computational methods for simulating problems in generalized
mechanics, we present simple applications and their closed‐form solutions for verifying a …

This paper makes a rigorous case for considering the continuum derived by the
homogenization of extensive quantities as a polar medium in which the balances of angular …