Preprint No.
A-06-02
Oliver Sander
A Fast Solver for Finite Deformation Contact Problems
Abstract:
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.
Keywords:
large deformation, two-body contact, SQP trust-region, multigrid
Mathematics Subject Classification (MSC00): 65N55
Language: ENG
Available: Pr-A-06-02.ps,
Pr-A-06-02.ps.gz
Contact: Oliver Sander, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (sander@math.fu-berlin.de)
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