G2C2: Geometry, Generalized Continua and Compatibility


Paul Steinmann
Lehrstuhl für Technische Mechanik, LTM
FAU Erlangen-Nürnberg

Wednesday, 18. December 2013, 17.00
WW8, Raum 2.018, Dr.-Mack-Str. 77, Fürth

Various concepts of differential geometry, in particular aspects related to compatibility, will be applied to the kinematics of first- and second-order geometrically nonlinear continuum mechanics. Thereby distinction will be made between the straightforward conditions for the distortion and the double-distortion being integrable and the more involved conditions for the strain (metric) and the double-strain (connection) being integrable. The latter leads to geometrically nonlinear and extended versions of the celebrated St.-Venant compatibility conditions.