A mortar method for finite deformation frictional contact using a primal-dual active set strategy

Alexander Popp, Markus Gitterle, Michael W. Gee, Wolfgang A. Wall

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present a new approach for 2D and 3D finite deformation contact based on a dual mortar formulation and using a primal-dual active set strategy (PDASS) for direct contact constraint enforcement. Linear and higher-order (quadratic) interpolations are considered and we address both the frictionless and the frictional sliding case. The two key features of this work are a full linearization of contact forces as well as normal and tangential contact constraints in the finite deformation frame and an interpretation of the active set search as a semi-smooth Newton method. Owing to these features, a consistent Newton scheme can be applied where contact nonlinearity and all other types of nonlinearities (i.e. geometrical, material) are resolved within one single iterative method. This yields a class of robust and highly efficient algorithms for finite deformation contact problems.

Original languageEnglish
Title of host publicationComputational Plasticity X - Fundamentals and Applications
StatePublished - 2009
Event10th International Conference on Computational Plasticity, COMPLAS X - Barcelona, Spain
Duration: 2 Sep 20094 Sep 2009

Publication series

NameComputational Plasticity X - Fundamentals and Applications

Conference

Conference10th International Conference on Computational Plasticity, COMPLAS X
Country/TerritorySpain
CityBarcelona
Period2/09/094/09/09

Keywords

  • Dual lagrange multipliers
  • Finite deformations
  • Frictional contact
  • Mortar finite element methods
  • Primal-dual active set strategy

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