SIMEM3 Renault

A Gauss-Seidel like algorithm to solve frictional contact problems We present mathematical and numerical results concerning an implicit method for frictional contact problems. It has been implemented in a dynamical deep drawing simulation software (SIMEM3 Renault) where unilateral contact and dry friction were assumed between the metal sheet and tools. The method may be viewed as a nonlinear block Gauss-Seidel algorithm. A convergence theorem is proved using nonsmooth analysis. Several numerical results illustrate the behaviour of this algorithm.

References in zbMATH (referenced in 26 articles )

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  1. Zhao, Jing; Vollebregt, Edwin A.H.; Oosterlee, Cornelis W.: A fast nonlinear conjugate gradient based method for 3D concentrated frictional contact problems (2015)
  2. Alart, Pierre: How to overcome indetermination and interpenetration in granular systems via nonsmooth contact dynamics. An exploratory investigation (2014)
  3. Alart, P.; Iceta, D.; Dureisseix, D.: A nonlinear domain decomposition formulation with application to granular dynamics (2012)
  4. Shojaaee, Zahra; Shaebani, M.Reza; Brendel, Lothar; Török, János; Wolf, Dietrich E.: An adaptive hierarchical domain decomposition method for parallel contact dynamics simulations of granular materials (2012)
  5. Visseq, V.; Martin, A.; Iceta, D.; Azema, E.; Dureisseix, D.; Alart, P.: Dense granular dynamics analysis by a domain decomposition approach (2012)
  6. Acary, Vincent; Cadoux, Florent; Lemaréchal, Claude; Malick, Jér^ome: A formulation of the linear discrete Coulomb friction problem via convex optimization (2011)
  7. Koziara, T.; Bićanić, N.: A distributed memory parallel multibody contact dynamics code (2011)
  8. Anitescu, Mihai; Tasora, Alessandro: An iterative approach for cone complementarity problems for nonsmooth dynamics (2010)
  9. Cadoux, Florent: An optimization-based algorithm for Coulomb’s frictional contact (2009)
  10. Iceta, Damien; Alart, Pierre; Dureisseix, David: A multilevel domain decomposition solver suited to nonsmooth mechanical problems (2009)
  11. Jourdan, Franck; Samida, Amine: An implicit numerical method for wear modeling applied to a hip joint prosthesis problem (2009)
  12. Krause, Rolf: A nonsmooth multiscale method for solving frictional two-body contact problems in 2D and 3D with multigrid efficiency (2009)
  13. Studer, Christian: Numerics of unilateral contacts and friction. Modeling and numerical time integration in non-smooth dynamics (2009)
  14. Joli, P.; Feng, Z.-Q.: Uzawa and Newton algorithms to solve frictional contact problems within the bi-potential framework (2008)
  15. Koziara, Tomasz; Bićanić, Nenad: Semismooth Newton method for frictional contact between pseudo-rigid bodies (2008)
  16. Studer, C.; Leine, R.I.; Glocker, Ch.: Step size adjustment and extrapolation for time-stepping schemes in non-smooth dynamics (2008)
  17. Alart, Pierre: Contact on multiprocessor environment: from multicontact problems to multiscale approaches (2007)
  18. Anitescu, Mihai: Optimization-based simulation of nonsmooth rigid multibody dynamics (2006)
  19. Kanno, Y.; Martins, J.A.C.; Pinto Da Costa, A.: Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem (2006)
  20. Mackerle, Jaroslav: Finite element modelling and simulation of bulk material forming. A bibliography (1996-2005) (2006)

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