@inproceedings{c78153c27e1842f8bd52afe7cd59e613,
title = "A mortar method for finite deformation frictional contact using a primal-dual active set strategy",
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.",
keywords = "Dual lagrange multipliers, Finite deformations, Frictional contact, Mortar finite element methods, Primal-dual active set strategy",
author = "Alexander Popp and Markus Gitterle and Gee, {Michael W.} and Wall, {Wolfgang A.}",
year = "2009",
language = "English",
isbn = "9788496736696",
series = "Computational Plasticity X - Fundamentals and Applications",
booktitle = "Computational Plasticity X - Fundamentals and Applications",
note = "10th International Conference on Computational Plasticity, COMPLAS X ; Conference date: 02-09-2009 Through 04-09-2009",
}