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Contact Dynamics with Lagrange Multipliers

  • Stephan Brunßen
  • Stefan Hüeber
  • Barbara Wohlmuth
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 3)

The efficient modeling of dynamical contact problems with friction is still a callenge in non-linear implicit structural analysis. We employ a mixed formulation in space with the displacement as primal variable and the contact stress as dual variable. For the discretization of the latter we use a discrete Lagrange multiplier space with biorthogonal basis functions. For the treatment of the nonlinear frictional contact conditions semi-smooth Newton methods are applied. To avoid oscillations in the Lagrange multiplier during the solution of dynamical contact problems with mass, we locally under-integrate the mass matrix. We also show the applicability of the mixed formulation to a velocity driven rigid-plastic problem.

Key words: Coulomb friction, semi-smooth Newton methods, non-oscillating Lagrange multiplier, energy conservating time integration.

Keywords

Lagrange Multiplier Contact Problem Contact Condition Dual Variable Frictional Contact 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2007

Authors and Affiliations

  • Stephan Brunßen
    • 1
  • Stefan Hüeber
    • 1
  • Barbara Wohlmuth
    • 1
  1. 1.IANS, University of StuttgartGermany

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