Presentation Details
On the shape functions for the contact pressure in mortar methods
Thursday, 12 Oct 2017; 14:10 - 14:30 in room 7.04
In Session:
MS05-1: Computational Contact Mechanics (Show complete Mini Symposium)
Thursday, 12 Oct 2017; 13:30 - 15:30 in room 7.04
Show complete Session
1st and presenting Author
Xuan Thang Duong
Aachen Institute for Advanced Study in Computational Engineering Science (AICES)
RWTH Aachen University
Aachen, Germany
Aachen Institute for Advanced Study in Computational Engineering Science (AICES)
RWTH Aachen University
Aachen, Germany
2nd Author
Laura De Lorenzis
Institute of Applied Mechanics
Technical University of Braunschweig
Braunschweig, Germany
Institute of Applied Mechanics
Technical University of Braunschweig
Braunschweig, Germany
3rd Author
Roger A. Sauer
Aachen Institute for Advanced Study in Computational Engineering Science (AICES)
RWTH Aachen University
Aachen, Germany
Aachen Institute for Advanced Study in Computational Engineering Science (AICES)
RWTH Aachen University
Aachen, Germany
Micro Abstract:
Mortar formulations differ on the choice of shape functions for approximation of the contact pressure. The shape functions can be identical to the standard, weighted standard, or the dual shape functions. In this contribution, we will unify all the above choices by starting with a least-squares condition. That is, the shape functions are constructed such that the smoothed contact pressure fits best to the raw contact pressure. Various other choices are also compared and discussed.