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Improved Contact Stress Recovery for Mortar-Based Contact Formulations

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Book cover Advances in Computational Plasticity

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 46))

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Abstract

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

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References

  1. 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)

    Article  MathSciNet  MATH  Google Scholar 

  2. J.A. Cottrell, T.J.R. Hughes, Y. Bazilevs, Isogeometric Analysis: Toward Integration of CAD and FEA (Wiley, Chichester, 2009)

    Book  Google Scholar 

  3. 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)

    Article  MathSciNet  MATH  Google Scholar 

  4. 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)

    Article  MathSciNet  MATH  Google Scholar 

  5. S. Hartmann, Kontaktanalyse dünnwandiger Strukturen bei groen Deformationen. Dissertation, Universität Stuttgart (2007)

    Google Scholar 

  6. 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)

    Article  MathSciNet  MATH  Google Scholar 

  7. S. Hüeber, Discretization techniques and efficient algorithms for contact problems. Dissertation, Universität Stuttgart (2008)

    Google Scholar 

  8. 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)

    Article  MathSciNet  MATH  Google Scholar 

  9. R.H. Krause, B.I. Wohlmuth, Nonconforming decomposition methods: Techniques for linear elasticity. East-West J. Numer. Math. 8, 177–206 (2000)

    MathSciNet  MATH  Google Scholar 

  10. R.H. Krause, B.I. Wohlmuth, A Dirichlet-Neumann type algorithm for contact problems with friction. Comput. Vis. Sci. 5, 139–148 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  11. M.G. Larson, F. Bengzon, The Finite Element Method: Theory, Implementation, and Applications (Springer, Berlin Heidelberg, 2013)

    Book  MATH  Google Scholar 

  12. A. Popp, Mortar methods for computational contact mechanics and general interface problems. Dissertation, Technische Universität München (2012)

    Google Scholar 

  13. 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)

    Article  MathSciNet  MATH  Google Scholar 

  14. 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)

    Article  MathSciNet  MATH  Google Scholar 

  15. 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)

    Article  MathSciNet  MATH  Google Scholar 

  16. A. Popp, W.A. Wall, Dual mortar methods for computational contact mechanics overview and recent developments. GAMM-Mitteilungen. 37, 66–84 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  17. 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)

    Google Scholar 

  18. 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)

    Article  MathSciNet  Google Scholar 

  19. C. Wilking, M. Bischoff, Alternative integration algorithms for three-dimensional mortar contact. Comput. Mech. 59, 203–218 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  20. B.I. Wohlmuth, Discretization Methods and Iterative Solvers Based on Domain Decomposition (Springer, Berlin, 2001)

    Book  MATH  Google Scholar 

  21. B.I. Wohlmuth, A mortar finite element method using dual spaces for the lagrange multiplier. SIAM J. Numer. Anal. 38, 989–1012 (2000)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Institut für Baustatik und Baudynamik, Pfaffenwaldring 7, 70550, Stuttgart, Germany

    Christoph Wilking, Manfred Bischoff & Ekkehard Ramm

Authors
  1. Christoph Wilking
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  2. Manfred Bischoff
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  3. Ekkehard Ramm
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Corresponding author

Correspondence to Christoph Wilking .

Editor information

Editors and Affiliations

  1. CIMNE, Universitat Politècnica de Catalunya, Barcelona, Spain

    Eugenio Oñate

  2. Swansea University, Swansea, United Kingdom

    Djordje Peric

  3. Swansea University, Swansea, United Kingdom

    Eduardo de Souza Neto

  4. CIMNE, Universitat Politècnica de Catalunya, Barcelona, Spain

    Michele Chiumenti

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Wilking, C., Bischoff, M., Ramm, E. (2018). Improved Contact Stress Recovery for Mortar-Based Contact Formulations. In: Oñate, E., Peric, D., de Souza Neto, E., Chiumenti, M. (eds) Advances in Computational Plasticity. Computational Methods in Applied Sciences, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-60885-3_19

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  • DOI: https://doi.org/10.1007/978-3-319-60885-3_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60884-6

  • Online ISBN: 978-3-319-60885-3

  • eBook Packages: EngineeringEngineering (R0)

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