Skip to main content
Top

2018 | OriginalPaper | Chapter

Improved Contact Stress Recovery for Mortar-Based Contact Formulations

Authors : Christoph Wilking, Manfred Bischoff, Ekkehard Ramm

Published in: Advances in Computational Plasticity

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In a variety of engineering applications knowledge of accurate contact stress is of great importance.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference T. Cichosz, M. Bischoff, Consistent treatment of boundaries with mortar contact formulations using dual Lagrange multipliers. Comput. Methods Appl. Mech. Eng. 200, 1317–1332 (2011)MathSciNetCrossRefMATH T. Cichosz, M. Bischoff, Consistent treatment of boundaries with mortar contact formulations using dual Lagrange multipliers. Comput. Methods Appl. Mech. Eng. 200, 1317–1332 (2011)MathSciNetCrossRefMATH
2.
go back to reference J.A. Cottrell, T.J.R. Hughes, Y. Bazilevs, Isogeometric Analysis: Toward Integration of CAD and FEA (Wiley, Chichester, 2009)CrossRef J.A. Cottrell, T.J.R. Hughes, Y. Bazilevs, Isogeometric Analysis: Toward Integration of CAD and FEA (Wiley, Chichester, 2009)CrossRef
3.
go back to reference P. Farah, A. Popp, W.A. Wall, Segment-based vs. element-based integration for mortar methods in computational contact mechanics. Comput. Mech. 55, 209–228 (2014)MathSciNetCrossRefMATH P. Farah, A. Popp, W.A. Wall, Segment-based vs. element-based integration for mortar methods in computational contact mechanics. Comput. Mech. 55, 209–228 (2014)MathSciNetCrossRefMATH
4.
go back to reference B. Flemisch, B.I. Wohlmuth, Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D. Comput. Methods. Appl. Mech. Eng. 196, 1589–1602 (2007)MathSciNetCrossRefMATH B. Flemisch, B.I. Wohlmuth, Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D. Comput. Methods. Appl. Mech. Eng. 196, 1589–1602 (2007)MathSciNetCrossRefMATH
5.
go back to reference S. Hartmann, Kontaktanalyse dünnwandiger Strukturen bei groen Deformationen. Dissertation, Universität Stuttgart (2007) S. Hartmann, Kontaktanalyse dünnwandiger Strukturen bei groen Deformationen. Dissertation, Universität Stuttgart (2007)
6.
go back to reference S. Hartmann, S. Brunssen, E. Ramm, B.I. Wohlmuth, Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy. Int. J. Numer. Methods Eng. 70, 883–912 (2007)MathSciNetCrossRefMATH S. Hartmann, S. Brunssen, E. Ramm, B.I. Wohlmuth, Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy. Int. J. Numer. Methods Eng. 70, 883–912 (2007)MathSciNetCrossRefMATH
7.
go back to reference S. Hüeber, Discretization techniques and efficient algorithms for contact problems. Dissertation, Universität Stuttgart (2008) S. Hüeber, Discretization techniques and efficient algorithms for contact problems. Dissertation, Universität Stuttgart (2008)
8.
go back to reference S. Hüeber, M. Mair, B.I. Wohlmuth, A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems. Appl. Numer. Math. 54, 555–576 (2005)MathSciNetCrossRefMATH S. Hüeber, M. Mair, B.I. Wohlmuth, A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems. Appl. Numer. Math. 54, 555–576 (2005)MathSciNetCrossRefMATH
9.
go back to reference R.H. Krause, B.I. Wohlmuth, Nonconforming decomposition methods: Techniques for linear elasticity. East-West J. Numer. Math. 8, 177–206 (2000)MathSciNetMATH R.H. Krause, B.I. Wohlmuth, Nonconforming decomposition methods: Techniques for linear elasticity. East-West J. Numer. Math. 8, 177–206 (2000)MathSciNetMATH
10.
go back to reference R.H. Krause, B.I. Wohlmuth, A Dirichlet-Neumann type algorithm for contact problems with friction. Comput. Vis. Sci. 5, 139–148 (2002)MathSciNetCrossRefMATH R.H. Krause, B.I. Wohlmuth, A Dirichlet-Neumann type algorithm for contact problems with friction. Comput. Vis. Sci. 5, 139–148 (2002)MathSciNetCrossRefMATH
11.
go back to reference M.G. Larson, F. Bengzon, The Finite Element Method: Theory, Implementation, and Applications (Springer, Berlin Heidelberg, 2013)CrossRefMATH M.G. Larson, F. Bengzon, The Finite Element Method: Theory, Implementation, and Applications (Springer, Berlin Heidelberg, 2013)CrossRefMATH
12.
go back to reference A. Popp, Mortar methods for computational contact mechanics and general interface problems. Dissertation, Technische Universität München (2012) A. Popp, Mortar methods for computational contact mechanics and general interface problems. Dissertation, Technische Universität München (2012)
13.
go back to reference A. Popp, M.W. Gee, W.A. Wall, A finite deformation mortar contact formulation using a primal-dual active set strategy. Int. J. Numer. Methods Eng. 79, 1354–1391 (2009)MathSciNetCrossRefMATH A. Popp, M.W. Gee, W.A. Wall, A finite deformation mortar contact formulation using a primal-dual active set strategy. Int. J. Numer. Methods Eng. 79, 1354–1391 (2009)MathSciNetCrossRefMATH
14.
go back to reference A. Popp, M. Gitterle, M.W. Gee, W.A. Wall, A dual mortar approach for 3D finite deformation contact with consistent linearization. Int. J. Numer. Methods Eng. 83, 1428–1465 (2010)MathSciNetCrossRefMATH A. Popp, M. Gitterle, M.W. Gee, W.A. Wall, A dual mortar approach for 3D finite deformation contact with consistent linearization. Int. J. Numer. Methods Eng. 83, 1428–1465 (2010)MathSciNetCrossRefMATH
15.
go back to reference A. Popp, A. Seitz, M.W. Gee, W.A. Wall, Improved robustness and consistency of 3D contact algorithms based on a dual mortar approach. Comput. Methods Appl. Mech. Eng. 264, 67–80 (2013)MathSciNetCrossRefMATH A. Popp, A. Seitz, M.W. Gee, W.A. Wall, Improved robustness and consistency of 3D contact algorithms based on a dual mortar approach. Comput. Methods Appl. Mech. Eng. 264, 67–80 (2013)MathSciNetCrossRefMATH
16.
go back to reference A. Popp, W.A. Wall, Dual mortar methods for computational contact mechanics overview and recent developments. GAMM-Mitteilungen. 37, 66–84 (2014)MathSciNetCrossRefMATH A. Popp, W.A. Wall, Dual mortar methods for computational contact mechanics overview and recent developments. GAMM-Mitteilungen. 37, 66–84 (2014)MathSciNetCrossRefMATH
17.
go back to reference A. Seitz, P. Farah, J. Kremheller, B.I. Wohlmuth, W.A. Wall, A. Popp, Isogeometric dual mortar methods for computational contact mechanics. Comput. Methods Appl. Mech Eng. 301, 259–280 (2016) A. Seitz, P. Farah, J. Kremheller, B.I. Wohlmuth, W.A. Wall, A. Popp, Isogeometric dual mortar methods for computational contact mechanics. Comput. Methods Appl. Mech Eng. 301, 259–280 (2016)
18.
go back to reference S. Sitzmann, K. Willner, B.I. Wohlmuth, Variationally consistent quadratic finite element contact formulations for finite deformation contact problems on rough surfaces. Finite Elem. Anal. Des. 109, 37–53 (2016)MathSciNetCrossRef S. Sitzmann, K. Willner, B.I. Wohlmuth, Variationally consistent quadratic finite element contact formulations for finite deformation contact problems on rough surfaces. Finite Elem. Anal. Des. 109, 37–53 (2016)MathSciNetCrossRef
19.
go back to reference C. Wilking, M. Bischoff, Alternative integration algorithms for three-dimensional mortar contact. Comput. Mech. 59, 203–218 (2017)MathSciNetCrossRefMATH C. Wilking, M. Bischoff, Alternative integration algorithms for three-dimensional mortar contact. Comput. Mech. 59, 203–218 (2017)MathSciNetCrossRefMATH
20.
go back to reference B.I. Wohlmuth, Discretization Methods and Iterative Solvers Based on Domain Decomposition (Springer, Berlin, 2001)CrossRefMATH B.I. Wohlmuth, Discretization Methods and Iterative Solvers Based on Domain Decomposition (Springer, Berlin, 2001)CrossRefMATH
21.
go back to reference B.I. Wohlmuth, A mortar finite element method using dual spaces for the lagrange multiplier. SIAM J. Numer. Anal. 38, 989–1012 (2000)MathSciNetCrossRefMATH B.I. Wohlmuth, A mortar finite element method using dual spaces for the lagrange multiplier. SIAM J. Numer. Anal. 38, 989–1012 (2000)MathSciNetCrossRefMATH
Metadata
Title
Improved Contact Stress Recovery for Mortar-Based Contact Formulations
Authors
Christoph Wilking
Manfred Bischoff
Ekkehard Ramm
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-60885-3_19

Premium Partners