Analysis of Dissipative Dynamical Systems by Geometrical and Variational Methods with Application to Shock-wave Loaded Viscoplastic Structures

• Applicant: Professor Dr.-Ing. Bernd Markert
• Subject Area: Applied Mechanics, Statics and Dynamics ; Mechanics
• Term: from 2016 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 316959552

• Final Report Year: 2021

No abstract available

Publications

• A Symplectic Minimum Variational Principle for Dissipative Dynamical Systems, Geometric Science of Information, Springer International Publishing, Cham, 359-366
  Oueslati, Abdelbacet; Nguyen, An Danh & de Saxcé, Géry
  
• (2018) A direct method for dissipative dynamical systems by using the symplectic Brezis-Ekeland-Nayroles principle, Proceedings in Applied Mathematics and Mechanics 18:e201800281
  Nguyen, An Danh & Markert, Bernd
  
• (2018) Finite element formulation of elastoplastic structures by using the symplectic Brezis-Ekeland-Nayroles principle, Proceedings in Applied Mathematics and Mechanics 18:e201800374
  Shirafkan, Nima; Nguyen, An Danh; Stoffel, Marcus & Markert, Bernd
  
• (2020) Numerical simulation of elastoplastic problems by Brezis– Ekeland–Nayroles non-incremental variational principle, Computational Mechanics 65:1005-1018
  Cao, Xiaodan; Oueslati, Abdelbacet; Nguyen, An Danh & de Saxcé, Géry
  
• (2020) On Space-Time Formulations in Structural Mechanics Using the Proper Generalized Decomposition, EASD Procedia Eurodyn, pages 136-153
  Bamer, Franz; Shirafkan, Nima; Oueslati, Abdelbacet; Stoffel, Marcus; De Saxcé, Géry & Markert, Bernd
  
• (2020) Quasistatic analysis of elastoplastic structures by the proper generalized decomposition in a space-time approach, Mechanics Research Communications 104:103500
  Shirafkan, Nima; Bamer, Franz; Stoffel, Marcus & Markert, Bernd
  
• (2021) Numerical Method for Quasi-static and Dynamic Elastoplastic Problems by Symplectic Brezis-Ekeland-Nayroles Nonincremental Principle, Direct Methods: Methodological Progress and Engineering Applications, Springer International Publishing, Cham, 187-209
  Cao, Xiaodan; Oueslati, Abdelbacet; Nguyen, An Danh; Stoffel, Marcus; Market, Bernd & de Saxcé, Géry
  
• (2020) A Newmark space-time approach in structural mechanics, Proceedings in Applied Mathematics and Mechanics 20: e202000304
  Bamer, Franz; Shirafkan, Nima; Cao, Xiaodan; Oueslati, Abdelbacet; Stoffel, Marcus; De Saxcé, Géry & Markert, Bernd