Preprint 2023-31
Franz Chouly, Hao Huang, Nicolás Pignet:
HHT-α and TR-BDF2 schemes for Nitsche-based discrete dynamic contact
Abstract:
This study investigates the computational efficacy of HHT-α and TR-BDF2 schemes in addressing dynamic frictionless unilateral contact challenges between an elastic structure and a rigid obstacle. The application of combinations of Nitsche's method with these schemes is explored for managing unilateral contact conditions. An examination of the convergence behavior involving the parameter α in the HHT-α method is conducted. Additionally, the mass redistribution method is tested and compared against the standard mass matrix. The numerical outcomes, based on 1D and 3D benchmarks, demonstrate the effectiveness of the employed combinations of schemes and methods.
