Adaptive methods for contact problems

authored by

Peter Wriggers

Abstract

This contribution is concerned with the adaptive finite-element-formulation of contact problems. For this, first the theoretical background of continuum mechanics and contact kinematics is given. Next the basic finite element formulation for large deformation contact processes is presented for two-dimensional problems. The development of the discretization of contact contributions follows. Here standard approaches are discussed for the case of frictional and frictionless contact. Finally different adaptive strategies involving as well residual based error estimators as error indicators based on superconvergence patch recovery are derived and formulated to include the contributions due to contact. Also error estimators based on dual principles are discussed. Examples show the performance of the different formulations and adaptive strategies.

Organisation(s)

Institute of Mechanics and Computational Mechanics

Type

Contribution to book/anthology

Pages

321-363

No. of pages

43

Publication date

2005

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Modelling and Simulation, Mechanics of Materials, Mechanical Engineering, Computer Science Applications

Electronic version(s)

https://doi.org/10.1007/3-211-38060-4_6 (Access: Unknown)

 

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