Presentation Details
A posteriori error estimates for finite elements of higher-order for frictional, elasto-plastic two-body contact problem
Thursday, 12 Oct 2017; 16:20 - 16:40 in room 7.04
In Session:
MS05-2: Computational Contact Mechanics (Show complete Mini Symposium)
Thursday, 12 Oct 2017; 16:00 - 18:00 in room 7.04
Show complete Session
1st and presenting Author
Andreas Rademacher
Institute of Applied Mathematics
TU Dortmund University
Dortmund, Germany
Institute of Applied Mathematics
TU Dortmund University
Dortmund, Germany
2nd Author
Hannah Frohne
Institute of Applied Mathematics
TU Dortmund University
Dortmund, Germany
Institute of Applied Mathematics
TU Dortmund University
Dortmund, Germany
Micro Abstract:
We present a residual a posteriori error estimator for frictional,
elasto-plastic two-body contact problems and finite elements of higher order. It is based on a mixed formulation in which the constraints concerning contact, friction and plasticity are captured by Lagrange multipliers. To be able to apply a semi-smooth Newton method we solve a primal-mixed problem and calculate the plastic quantities in a post process. Reliability and suboptimal efficiency of the estimator are shown.