Cosserat micropolar elasticity : Classical Eringen vs. dislocation form
In: Journal of Mechanics of Materials and Structures (JoMMS), Jg. 18 (2023), Heft 1, S. 93 - 123
2023Artikel/Aufsatz in ZeitschriftOA Grün
MathematikFakultät für Mathematik
Damit verbunden: 1 Publikation(en)
Titel in Englisch:
Cosserat micropolar elasticity : Classical Eringen vs. dislocation form
Autor*in:
Ghiba, Ionel-DumitrelUDE
- LSF ID
- 56905
- ORCID
- 0000-0002-8466-8010
- Sonstiges
- der Hochschule zugeordnete*r Autor*in
korrespondierende*r Autor*in
- LSF ID
- 13332
- ORCID
- 0000-0002-1615-8879
- Sonstiges
- der Hochschule zugeordnete*r Autor*in
Erscheinungsjahr:
2023
Open Access?:
OA Grün
arXiv.org ID
Scopus ID
Sprache des Textes:
Englisch
Schlagwort, Thema:
Cosserat couple modulus ; Cosserat micropolar model ; dislocation density tensor ; microrotation vector ; Nye’s formula ; parameter identification ; relaxed micromorphic model
Abstract in Englisch:
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).