Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 625-647 |
| Seitenumfang | 23 |
| Fachzeitschrift | Acta Mechanica |
| Jahrgang | 231 |
| Ausgabenummer | 2 |
| Frühes Online-Datum | 25 Nov. 2019 |
| Publikationsstatus | Veröffentlicht - Feb. 2020 |
Abstract
The present article studies variational principles for the formulation of static and dynamic problems involving Kirchhoff rods in a fully nonlinear setting. These results, some of them new, others scattered in the literature, are presented in a self-contained fashion, helping to clarify certain aspects that have remained obscure. In particular, the study of transversely isotropic models reveals the delicate role that differential geometry plays in their formulation and unveils consequently some approximations that can be made to obtain simplified formulations.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Numerische Mechanik
- Ingenieurwesen (insg.)
- Maschinenbau
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Acta Mechanica, Jahrgang 231, Nr. 2, 02.2020, S. 625-647.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Variational principles for nonlinear Kirchhoff rods
AU - Romero, Ignacio
AU - Gebhardt, Cristian G.
PY - 2020/2
Y1 - 2020/2
N2 - The present article studies variational principles for the formulation of static and dynamic problems involving Kirchhoff rods in a fully nonlinear setting. These results, some of them new, others scattered in the literature, are presented in a self-contained fashion, helping to clarify certain aspects that have remained obscure. In particular, the study of transversely isotropic models reveals the delicate role that differential geometry plays in their formulation and unveils consequently some approximations that can be made to obtain simplified formulations.
AB - The present article studies variational principles for the formulation of static and dynamic problems involving Kirchhoff rods in a fully nonlinear setting. These results, some of them new, others scattered in the literature, are presented in a self-contained fashion, helping to clarify certain aspects that have remained obscure. In particular, the study of transversely isotropic models reveals the delicate role that differential geometry plays in their formulation and unveils consequently some approximations that can be made to obtain simplified formulations.
UR - http://www.scopus.com/inward/record.url?scp=85076228519&partnerID=8YFLogxK
U2 - 10.1007/s00707-019-02562-0
DO - 10.1007/s00707-019-02562-0
M3 - Article
AN - SCOPUS:85076228519
VL - 231
SP - 625
EP - 647
JO - Acta Mechanica
JF - Acta Mechanica
SN - 0001-5970
IS - 2
ER -