Stabilized Lagrange multiplier methods for elastic contact with friction,
Journal article, 2006

In most finite element (FE) codes contact is checked only at the nodes, corresponding to the use of pointwise constraints. However, this approach might not be stable in case the bodies coming into contact have non-matching grids at the contact interface. To alleviate this problem, we propose a stabilized Lagrange multiplier method, based on a global polynomial multiplier, for the finite element solution of (non)linear elastic contact problems with non-matching grids. In particular, our approach allows us to avoid integrating products of different finite element basis functions on the surface meshes at the contact zone.

Stabilized Lagrange multipliers

Friction

Contact

Non-matching grids

Author

Per Heintz

Chalmers, Applied Mechanics, Computational Technology

Peter F G Hansbo

Chalmers, Applied Mechanics, Computational Technology

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 195 33-36 4323-4333

Subject Categories

Applied Mechanics

Computational Mathematics

DOI

10.1016/j.cma.2005.09.008

More information

Created

10/6/2017