Cosserat micropolar elasticity : Classical Eringen vs. dislocation form
In: Journal of Mechanics of Materials and Structures (JoMMS), Vol. 18 (2023), No. 1, pp. 93 - 123
Title in English:
Cosserat micropolar elasticity : Classical Eringen vs. dislocation form
Author:
Ghiba, Ionel-DumitrelUDE
- LSF ID
- 56905
- ORCID
- 0000-0002-8466-8010
- Other
- connected with university
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
Scopus ID
Language of text:
English
Keyword, Topic:
Cosserat couple modulus ; Cosserat micropolar model ; dislocation density tensor ; microrotation vector ; Nye’s formula ; parameter identification ; relaxed micromorphic model
Abstract in English:
We give a comparative presentation of the linear isotropic Cosserat elastic model from two perspectives: the classical Mindlin–Eringen–Nowacki description in terms of a microrotation vector and a new formulation in terms of a skew-symmetric matrix and a curvature energy in dislocation form. We provide the reader with an alternative representation of the energy for the isotropic Cosserat model to ease the comparison with the relaxed micromorphic model and the geometrically nonlinear Cosserat elastic model. © 2023 The Author(s), under license to MSP (Mathematical Sciences Publishers).