Simple shear in nonlinear Cosserat micropolar elasticity : Existence of minimizers, numerical simulations, and occurrence of microstructure

GND
120003848
ORCID
0000-0003-4765-926X
Affiliation
Bingen University of Applied Sciences, Bingen, Germany
Blesgen, Thomas;
GND
122258886
ORCID
0000-0002-1615-8879
LSF
13332
Affiliation
Faculty of Mathematics, University of Duisburg-Essen, Essen, Germany
Neff, Patrizio
Deformation microstructure is studied for a 1D-shear problem in geometrically nonlinear Cosserat elasticity. Microstructure solutions are described analytically and numerically for zero characteristic length scale.

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Date Issued:
19.09.2022
URN:
urn:nbn:de:hbz:465-20240502-170242-7
DOI:
10.1177/10812865221122191
Language:
English
Type of Resource:
Text
Keywords:
Cosserat theory; microstructure; calculus of variations; micropolar; generalized continuum
Collection:
E-Publications
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Hosting institution:
Faculty of Mathematics
Info on primary publication:

Blesgen T, Neff P. Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure. Mathematics and Mechanics of Solids. 2023;28(7):1576-1602. doi:10.1177/10812865221122191

First published online September 19, 2022

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