Discretization of geometrically exact elasto-plastic Cosserat shells using geodesic finite elements

Applicant Professor Dr. Oliver Sander

Subject Area Mathematics

Term from 2014 to 2017

Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 245812845

Final Report Year 2017

Final Report Abstract

No abstract available

Interpolation und Simulation mit nichtlinearen Daten. In: GAMM Rundbrief 1 (2015)
O. Sander
Numerical Treatment of a Geometrically Nonlinear Planar Cosserat Shell Model. In: Comp. Mech. 57.5 (2016), pp. 817-841
O. Sander, P. Neff, and M. Bîrsan
(See online at https://doi.org/10.1007/s00466-016-1263-5)
Test function spaces for geometric finite elements. July 25, 2016
O. Sander
Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices. Feb. 23, 2017
L. Borisov, A. Fischle, and P. Neff
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D. In: ZAMM Zeitschrift für angewandte Mathematik und Mechanik (2017)
A. Fischle and P. Nefff
(See online at https://doi.org/10.1002/zamm.201500194)
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part II: Non-classical energy-minimizing microrotations in 3D and their computational validation. In: ZAMM Zeitschrift für angewandte Mathematik und Mechanik (2017)
A. Fischle and P. Neff
(See online at https://doi.org/10.1002/zamm.201600030)