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A Fast Solver for Finite Deformation Contact Problems

Please always quote using this URN:urn:nbn:de:0296-matheon-3228
  • We present a new solver for large-scale two-body contact problems in nonlinear elasticity. It is based on an SQP-trust-region approach. This guarantees global convergence to a first-order critical point of the energy functional. The linearized contact conditions are discretized using mortar elements. A special basis transformation known from linear contact problems allows to use a monotone multigrid solver for the inner quadratic programs. They can thus be solved with multigrid complexity. Our algorithm does not contain any regularization or penalization parameters, and can be used for all hyperelastic material models.

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Metadaten
Author:Oliver Sander
URN:urn:nbn:de:0296-matheon-3228
Referee:Peter Deuflhard
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2006/08/04
Release Date:2006/07/04
Tag:
Institute:Freie Universität Berlin
Zuse Institute Berlin (ZIB)
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N55 Multigrid methods; domain decomposition
Preprint Number:319
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