English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present results of a two-scale model of disordered cellular materialswhere we describe the microstructure in an idealized manner using a beamnetwork model and then make a transition to a Cosserat-type continuum modeldescribing the same material on the macroscopic scale. In such scaletransitions, normally either bottom-up homogenization approaches or top-downreverse modelling strategies are used in order to match the macro-scaleCosserat continuum to the micro-scale beam network. Here we use a differentapproach that is based on an energetically consistent continuization schemethat uses data from the beam network model in order to determine continuousstress and strain variables in a set of control volumes defined on the scale ofthe individual microstructure elements (cells) in such a manner that they forma continuous tessellation of the material domain. Stresses and strains aredetermined independently in all control volumes, and constitutive parametersare obtained from the ensemble of control volume data using a least-squareerror criterion. We show that this approach yields material parameters that arefor regular honeycomb structures in close agreement with analytical results.For strongly disordered cellular structures, the thus parametrized Cosseratcontinuum produces results that reproduce the behavior of the micro-scale beammodels both in view of the observed strain patterns and in view of themacroscopic response, including its size dependence.

Determining Cosserat constants of 2D cellular solids from beam models