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
Title in English:
Simple shear in nonlinear Cosserat micropolar elasticity : Existence of minimizers, numerical simulations, and occurrence of microstructure
Author:
Blesgen, Thomas
- ORCID
- 0000-0003-4765-926X
- Other
- corresponding author
- LSF ID
- 13332
- ORCID
- 0000-0002-1615-8879
- 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.