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

Publications

• 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
  
• 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
  
• 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