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 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 …

We derive a global higher regularity result for weak solutions of the linear relaxed
micromorphic model on smooth domains. The governing equations consist of a linear elliptic …

In this paper, we investigate the global higher regularity properties of weak solutions for a
linear elliptic system coupled with a nonlinear Maxwell-type system defined on Lipschitz …

We introduce a unified method for constructing the basis functions of a wide variety of
partially continuous tensor-valued finite elements on simplices using polytopal templates …

In this work we present a consistent reduction of the relaxed micromorphic model to its
corresponding two-dimensional planar model, such that its capacity to capture …

In this paper, we investigate the global higher regularity properties of weak solutions for a
linear elliptic system coupled with a nonlinear Maxwell-type system defined on Lipschitz …

In this paper, we consider the isotropic relaxed micromorphic model in polar coordinates
and use this representation to solve explicitly an elastostatic axisymmetric extension …