Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model

M Sarhil, L Scheunemann, J Schröder, P Neff - Computational Mechanics, 2023 - Springer
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 …

Construction of micromorphic continua by homogenization based on variational principles

SE Alavi, JF Ganghoffer, H Reda, M Sadighi - Journal of the Mechanics and …, 2021 - Elsevier
The present contribution aims to revisit higher-order homogenization schemes towards
micromorphic media based on variational principles and an extension of Hill …

[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 …

Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization

SE Alavi, JF Ganghoffer… - … and Mechanics of Solids, 2022 - journals.sagepub.com
The present contribution aims to build chiral Cosserat effective models of architectured
media prone to such effects, recoursing to dedicated homogenization methods. In order to …

[HTML][HTML] A Newton solver for micromorphic computational homogenization enabling multiscale buckling analysis of pattern-transforming metamaterials

S van Bree, O Rokoš, RHJ Peerlings, M Doškář… - Computer Methods in …, 2020 - Elsevier
Mechanical metamaterials feature engineered microstructures designed to exhibit exotic,
and often counter-intuitive, effective behaviour such as negative Poisson's ratio or negative …

A comparative study of enriched computational homogenization schemes applied to two-dimensional pattern-transforming elastomeric mechanical metamaterials

SO Sperling, T Guo, RHJ Peerlings… - Computational …, 2024 - Springer
Elastomeric mechanical metamaterials exhibit unconventional behaviour, emerging from
their microstructures often deforming in a highly nonlinear and unstable manner. Such …

Free vibration analysis of pre-stretched hyperelastic micromorphic continua with arbitrary shapes

Y Gholami, R Ansari - Engineering Analysis with Boundary Elements, 2023 - Elsevier
A novel numerical strategy is developed in this article to study the free vibrations of
hyperelastic micromorphic continua under bending load. In the proposed approach, the …

A pseudo-nonlocal finite element for efficient solution of computationally demanding material models

J Fish, Y Yu - International Journal for Multiscale Computational …, 2021 - dl.begellhouse.com
We present a so-called pseudo-nonlocal eight-node fully integrated linear hexahedral
element coined as PN3D8 for finite element analysis of computationally demanding material …

Enriched Computational Homogenization Schemes Applied to Pattern-Transforming Elastomeric Mechanical Metamaterials

SO Sperling, T Guo, RHJ Peerlings… - arxiv preprint arxiv …, 2023 - arxiv.org
Elastomeric mechanical metamaterials exhibit unconventional mechanical behaviour owing
to their complex microstructures. A clear transition in the effective properties emerges under …

Hierarchy of generalized continua issued from micromorphic medium constructed by homogenization

SE Alavi, JF Ganghoffer, H Reda, M Sadighi - Continuum Mechanics and …, 2023 - Springer
The present contribution provides a classification of generalized continua constructed by a
micromechanical approach, relying on an extension of the Hill macrohomogeneity condition …