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

A new numerical method in application to the plate problem is suggested. It starts from
consideration of the rectangular elements, each operating by 6 beam-like parameters: four …

It has become commonplace for the stored energy function of any realistic shell model to
align “within first order” with the classical Koiter membrane-bending (flexural) shell model. In …

Displacement-based formulations for composite structures are directly linked to the
functional called the Principle of Virtual Displacements and present the minimum number of …

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 …

For the discretization of symmetric, divergence-conforming stress tensors in continuum
mechanics, we prove inf-sup stability bounds which are uniform in polynomial degree and …

Abstract The Beltrami–Michell equations of linear elasticity differ from the Navier–Cauchy
equations, in that the primary field in former equations is the stress tensor rather than the …