Blesgen, Thomas; Neff, Patrizio:
Simple shear in nonlinear Cosserat micropolar elasticity : Existence of minimizers, numerical simulations, and occurrence of microstructure
In: Mathematics and Mechanics of Solids (MMS), Vol. 28 (2023), No. 7, pp. 1576 - 1602
2023article/chapter in journalOA Green
MathematicsFaculty of Mathematics
Related: 1 publication(s)
Title in English:
Simple shear in nonlinear Cosserat micropolar elasticity : Existence of minimizers, numerical simulations, and occurrence of microstructure
Author:
Blesgen, Thomas
ORCID
0000-0003-4765-926XORCID iD
Other
corresponding author
;
Neff, PatrizioUDE
LSF ID
13332
ORCID
0000-0002-1615-8879ORCID iD
Other
connected with university
Year of publication:
2023
Open Access?:
OA Green
arXiv.org ID
DuEPublico 2 ID
Web of Science ID
Scopus ID
Language of text:
English
Keyword, Topic:
Cosserat theory; microstructure; calculus of variations; micropolar; generalized continuum
Type of resource:
Text

Abstract in English:

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.