[HTML][HTML] A computational approach to identify the material parameters of the relaxed micromorphic model

M Sarhil, L Scheunemann, P Lewintan… - Computer Methods in …, 2024 - Elsevier
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 …

Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus

A Sky, JS Hale, A Zilian, SPA Bordas, P Neff - Computer Methods in …, 2024 - Elsevier
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 …

Formulae and transformations for simplicial tensorial finite elements via polytopal templates

A Sky, M Neunteufel, JS Hale, A Zilian - arXiv preprint arXiv:2405.10402, 2024 - arxiv.org
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 …

Novel -conforming elements on regular triangulations and Clough--Tocher splits for the planar relaxed micromorphic model

A Sky, M Neunteufel, P Lewintan, P Gourgiotis… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem

E Ghavanloo, P Neff - arXiv preprint arXiv:2411.18213, 2024 - arxiv.org
In this paper, we consider the isotropic relaxed micromorphic model in polar coordinates
and use this representation to solve explicitly an elastostatic axisymmetric extension …

Yet another best approximation isotropic elasticity tensor in plane strain

J Voss, P Gourgiotis, P Lewintan, A Sky… - … and Mechanics of …, 2024 - msp.org
For plane strain linear elasticity, given any anisotropic elasticity tensor ℂ aniso, we
determine a best approximating isotropic counterpart ℂ is o. This is not done by using a …

[引用][C] On the finite element realization, boundary conditions and parameters identification of the relaxed micromorphic model

M Sarhil - Dissertation, Duisburg, Essen …