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

Final Report Abstract

No abstract available

Publications

• A Symplectic Minimum Variational Principle for Dissipative Dynamical Systems, Geometric Science of Information, Springer International Publishing, Cham, 359-366
  Oueslati A., Nguyen A.D., de Saxcé G.
  (See online at https://doi.org/10.1007/978-3-319-68445-1_42)
• (2018) A direct method for dissipative dynamical systems by using the symplectic Brezis-Ekeland-Nayroles principle, Proceedings in Applied Mathematics and Mechanics 18:e201800281
  AD Nguyen, B Markert
  (See online at https://doi.org/10.1002/pamm.201800281)
• (2018) Finite element formulation of elastoplastic structures by using the symplectic Brezis-Ekeland-Nayroles principle, Proceedings in Applied Mathematics and Mechanics 18:e201800374
  N Shirafkan, AD Nguyen, M Stoffel, B Markert
  (See online at https://doi.org/10.1002/pamm.201800374)
• (2020) A Newmark space-time approach in structural mechanics, Proceedings in Applied Mathematics and Mechanics 20: e202000304
  F Bamer, N Shirafkan, X Cao, A Oueslati, M Stoffel, G de Saxcé, B Markert
  (See online at https://doi.org/10.1002/pamm.202000304)
• (2020) Numerical simulation of elastoplastic problems by Brezis– Ekeland–Nayroles non-incremental variational principle, Computational Mechanics 65:1005-1018
  X Cao, A Oueslati, AD Nguyen, G de Saxcé
  (See online at https://doi.org/10.1007/s00466-019-01805-0)
• (2020) On Space-Time Formulations in Structural Mechanics Using the Proper Generalized Decomposition, EASD Procedia Eurodyn, pages 136-153
  F Bamer, N Shirafkan, A Oueslati, M Stoffel, G de Saxcé, B Markert
  (See online at https://doi.org/10.47964/1120.9011.19813)
• (2020) Quasistatic analysis of elastoplastic structures by the proper generalized decomposition in a space-time approach, Mechanics Research Communications 104:103500
  N Shirafkan, F Bamer, M Stoffel, B Markert
  (See online at https://doi.org/10.1016/j.mechrescom.2020.103500)
• (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
  X Cao, A Oueslati, AD Nguyen, M Stoffel, B Markert, G de Saxcé
  (See online at https://doi.org/10.1007/978-3-030-48834-5_10)