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Continuum Mechanics and Thermodynamics
Erschienen in: Continuum Mechanics and Thermodynamics 5/2020

16.11.2019 | Original Article

A Biot–Cosserat two-dimensional elastic nonlinear model for a micromorphic medium

verfasst von: Ivan Giorgio, Michele De Angelo, Emilio Turco, Anil Misra

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 5/2020

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Abstract

A possible strain energy density, incorporating Cosserat’s micro-rotations and Biot’s change in porosity conferred by the microstructure geometry, is proposed in an elastic, two-dimensional, nonlinear context. The nonlinearities are taken into account both extracting the exact macro-rotations by the polar decomposition of the standard deformation gradient \(\varvec{F}\) and evaluating the change in the area at the macroscopic level of observation as \(J-1\). Moreover, the bulk behavior of the material is assumed to be described by a compressible neo-Hookean model. Based on a variational formulation, finite element numerical simulations of static tests in some representative examples have been performed to illustrate the main features of the proposed model and the effect of the boundary conditions.
Vorheriger Artikel Sensitivity analysis of free torsional vibration frequencies of thin-walled laminated beams under axial load
Nächster Artikel Microstructure-based modelling of rubbing in polycrystalline honeycomb structures

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Metadaten
Titel
A Biot–Cosserat two-dimensional elastic nonlinear model for a micromorphic medium
verfasst von
Ivan Giorgio
Michele De Angelo
Emilio Turco
Anil Misra
Publikationsdatum
16.11.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Continuum Mechanics and Thermodynamics / Ausgabe 5/2020
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-019-00848-1

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