In this work we construct novel H (sym Curl)-conforming finite elements for the recently
introduced relaxed micromorphic sequence, which can be considered as the completion of …

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 …

The relaxed micromorphic model is a generalized continuum model that is well-posed in the
space X=[H 1] 3×[H (curl)] 3. Consequently, finite element formulations of the model rely on …

Modeling the unusual mechanical properties of metamaterials is a challenging topic for the
mechanics community and enriched continuum theories are promising computational tools …

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 …

We characterise all linear maps A: R n× n→ R n× n such that, for 1≤ p< n, PL p∗(R n)≤ c (A
[P] L p∗(R n)+ Curl PL p (R n)) holds for all compactly supported P∈ C c∞(R n; R n× n) …

The Hilbert spaces H (curl) and H (div) are employed in various variational problems
formulated in the context of the de Rham complex in order to guarantee well-posedness …

In this work we introduce novel stress-only formulations of linear elasticity with special
attention to their approximate solution using weighted residual methods. We present four …

We derive the Green's functions (concentrated force and couple in an infinite space) for the
isotropic planar relaxed micromorphic model. Since the relaxed micromorphic model …

We present an approach to the coupling of mixed-dimensional continua by employing the
mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the …