TY - GEN A1 - Sander, Oliver A1 - Schiela, Anton T1 - Energy Minimizers of the Coupling of a Cosserat Rod to an Elastic Continuum N2 - We formulate the static mechanical coupling of a geometrically exact Cosserat rod to an elastic continuum. The coupling conditions accommodate for the difference in dimension between the two models. Also, the Cosserat rod model incorporates director variables, which are not present in the elastic continuum model. 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. We also derive the corresponding conditions for the dual variables and interpret them in mechanical terms. KW - variational analysis KW - Cosserat rods KW - directors KW - nonlinear elasticity KW - coupling conditions KW - energy minimization Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1038 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-10389 ER -