TY - GEN A1 - Sander, Oliver A1 - Schiela, Anton T1 - Variational Analysis of the Coupling Between a Geometrically Exact Cosserat Rod and an Elastic Continuum N2 - 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. KW - coupling conditions KW - energy minimization KW - Cosserat rod KW - hyperelastic material Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1169 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-11695 ER -