Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …

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 …

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) …

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 …

We establish a family of coercive Korn-type inequalities for generalised incompatible fields
in the superlinear growth regime under sharp criteria. This extends and unifies several …

We consider the cylindrical bending problem for an infinite plate as modeled with a family of
generalized continuum models, including the micromorphic approach. The models allow to …

For the recently introduced isotropic-relaxed micromorphic generalized continuum model,
we show that, under the assumption of positive-definite energy, planar harmonic waves …

Mechanical metamaterials have recently gathered increasing attention for their uncommon
mechanical responses enabling unprecedented applications for elastic wave control. Many …

Following Hill and Leblond, the aim of our work is to show, for isotropic nonlinear elasticity, a
relation between the corotational Zaremba-Jaumann objective derivative of the Cauchy …

In this paper, we substantiate the claim implicitly made in previous works that the relaxed
micromorphic model is the only linear, isotropic, reversibly elastic, nonlocal generalized …