A mortar method for energy‐momentum conserving schemes in frictionless dynamic contact problems

By Christian Hesch, Peter Betsch. 2009

97 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8b4eec20853dd5ac41dcc8ad9fec779f7320b61d

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In Computational Theory and Mathematics

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, methodology): “In [11], condensation of the discrete Lagrange multipliers is also achieved for standard Lagrange multiplier shape functions due to the application of a so-called discrete null space method, yet at very high computational cost.”
Isogeometric contact: a review (2014, background): “Extensions and further developments for large deformation problems can be found e.g. in Yang et al. (2005), Puso and Laursen (2004), Hesch and Betsch (2009), and Tur et al. (2012).”
Transient three‐dimensional domain decomposition problems: Frame‐indifferent mortar constraints and conserving integration (2010, methodology): “A comparison between the NTS and the mortar method in the context of two-dimensional large-deformation contact problems has been presented by Hesch and Betsch [20].”
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 large deformation frictional contact formulation using NURBS‐based isogeometric analysis (2011, methodology): “The second algorithm is based on the mortar method [15, 23–28].”
Isogeometric analysis and domain decomposition methods (2012, methodology): “The algorithm in Hesch and Betsch [20] can be adapted by using the NURBS shape functions for the edges.”
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].”