Stabilized Lagrange multiplier methods for bilateral elastic contact with friction

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 stabi...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2006-07, Vol.195 (33-36), p.4323-4333
Main Authors: Heintz, Per, Hansbo, Peter
Format: Article
Language:English
Subjects:
Computational techniques
Contact
Exact sciences and technology
Friction
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Mechanical contact (friction...)
Non-matching grids
Physics
Solid mechanics
Stabilized Lagrange multipliers
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary: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.
ISSN:0045-7825
1879-2138
1879-2138
DOI:10.1016/j.cma.2005.09.008