Title data
Sander, Oliver ; Schiela, Anton:
Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum.
In: Zeitschrift für angewandte Mathematik und Physik.
Vol. 65
(2014)
Issue 6
.
 pp. 12611288.
ISSN 00442275
DOI: https://doi.org/10.1007/s000330130389y
Official URL:
Project information
Project title: 
Project's official title  Project's id 

DFG Research Center Matheon "Mathematics for key technologies"  FZT 86 

Project financing: 
Deutsche Forschungsgemeinschaft

Abstract in another language
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 onedimensional model with director variables to a threedimensional 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 firstorder optimality conditions, we also derive the corresponding conditions for the dual variables. These are then interpreted in mechanical terms.
Further data