A primal–dual active set strategy for non-linear multibody contact problems

By Stefan Hüeber, Barbara I. Wohlmuth. 2005

284 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/90d6ed559da8d921e6c757a8fe5e82093de31254

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In Biomedical Engineering

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, methodology): “A further improvement has been more recently introduced with the advent of the mortar methods [16–18,32,33,39], which simultaneously satisfy patch test and LBB stability requirements, albeit at a higher computational cost.”
A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, methodology): “Other applications can be found in [18, 19, 31].”
A finite deformation mortar contact formulation using a primal–dual active set strategy (2009, unknown): “Following an approach given in [22, 24] we define a so-called complementarity function C j for each slave node j ∈S as C j (z j ,d)=(zn) j −max(0, (zn) j −cng̃ j ), cn>0 (56) This is a nonlinear function of the displacements as both the nodal normal n j in (zn) j =n j ·z j and the nodal weighted gap”
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS (2012, background): “an exact evaluation of the surface integrals contributing to the weak formulation, combined with a discrete satisfaction of the continuous contact constraints through projected quantities [54,22,49,25,13,50,48,21,26,59].”
Efficient simulation of multi‐body contact problems on complex geometries: A flexible decomposition approach using constrained minimization (2009, methodology): “As solution algorithm for the nonlinear multi-body contact problem discretized by mortar finite elements we apply”
Unilateral non‐linear dynamic contact of thin‐walled structures using a primal‐dual active set strategy (2007, unknown): “This approach has been successfully applied to geometrically linear multibody [15] and to materially non-linear [24] contact problems.”
A large deformation frictional contact formulation using NURBS‐based isogeometric analysis (2011, methodology): “The second algorithm is based on the mortar method [15, 23–28].”