Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • Oliver Sander - , Rheinisch-Westfälische Technische Hochschule Aachen (Autor:in)
  • Anton Schiela - , Technische Universität Hamburg (Autor:in)

Abstract

We formulate the static mechanical coupling of a geometrically exact Cosserat rod to a nonlinearly elastic continuum. In this setting, appropriate coupling conditions have to connect a one-dimensional model with director variables to a three-dimensional model without directors. Two alternative coupling conditions are proposed, which correspond to two different configuration trace spaces. For both, we show existence of solutions of the coupled problems, using the direct method of the calculus of variations. From the first-order optimality conditions, we also derive the corresponding conditions for the dual variables. These are then interpreted in mechanical terms.

Details

OriginalspracheEnglisch
Seiten (von - bis)1261-1288
FachzeitschriftZeitschrift fur Angewandte Mathematik und Physik
Jahrgang65
Ausgabenummer6
PublikationsstatusVeröffentlicht - 19 Dez. 2013
Peer-Review-StatusJa
Extern publiziertJa

Externe IDs

Scopus 84920252421
ORCID /0000-0003-1093-6374/work/142250582

Schlagworte

Bibliotheksschlagworte