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 40 articles )

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  1. Abide, Stéphane; Barboteu, Mikaël; Cherkaoui, Soufiane; Dumont, Serge: A semi-smooth Newton and primal-dual active set method for non-smooth contact dynamics (2021)
  2. Agwa, M. A.; Pinto da Costa, Antonio: Existence and multiplicity of solutions in frictional contact mechanics. I: A simplified criterion (2021)
  3. Lozovskiy, A. V.; Kaziev, M. Zh.: Numerical modeling of the motion of an underwater body with positive buoyancy by the method of nonsmooth contact dynamics (2020)
  4. Peng, Lei; Feng, Zhi-Qiang; Joli, Pierre; Renaud, Christine; Xu, Wan-Yun: Bi-potential and co-rotational formulations applied for real time simulation involving friction and large deformation (2019)
  5. Barboteu, Mikaël; Dumont, Serge: A primal-dual active set method for solving multi-rigid-body dynamic contact problems (2018)
  6. Fekak, Fatima-Ezzahra; Brun, Michael; Gravouil, Anthony; Depale, Bruno: A new heterogeneous asynchronous explicit-implicit time integrator for nonsmooth dynamics (2017)
  7. Oumaziz, Paul; Gosselet, Pierre; Boucard, Pierre-Alain; Guinard, Stéphane: A non-invasive implementation of a mixed domain decomposition method for frictional contact problems (2017)
  8. Lozovskiy, Alexander; Dubois, Frédéric: The method of a floating frame of reference for non-smooth contact dynamics (2016)
  9. Giacoma, A.; Dureisseix, D.; Gravouil, A.; Rochette, M.: Toward an optimal a priori reduced basis strategy for frictional contact problems with LATIN solver (2015)
  10. Zhao, Jing; Vollebregt, Edwin A. H.; Oosterlee, Cornelis W.: A fast nonlinear conjugate gradient based method for 3D concentrated frictional contact problems (2015)
  11. Alart, Pierre: How to overcome indetermination and interpenetration in granular systems via nonsmooth contact dynamics. An exploratory investigation (2014)
  12. Giacoma, A.; Dureisseix, D.; Gravouil, A.; Rochette, M.: A multiscale large time increment/FAS algorithm with time-space model reduction for frictional contact problems (2014)
  13. Lozovskiy, Alexander: The modal reduction method for multi-body dynamics with non-smooth contact (2014)
  14. Tang, Min; Kim, Young J.: Interactive generalized penetration depth computation for rigid and articulated models using object norm (2014)
  15. Dumont, S.: On enhanced descent algorithms for solving frictional multicontact problems: application to the discrete element method (2013)
  16. Visseq, Vincent; Alart, Pierre; Dureisseix, David: High performance computing of discrete nonsmooth contact dynamics with domain decomposition (2013)
  17. Alart, P.; Iceta, D.; Dureisseix, D.: A nonlinear domain decomposition formulation with application to granular dynamics (2012)
  18. 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)
  19. Visseq, V.; Martin, A.; Iceta, D.; Azema, E.; Dureisseix, D.; Alart, P.: Dense granular dynamics analysis by a domain decomposition approach (2012)
  20. Acary, Vincent; Cadoux, Florent; Lemaréchal, Claude; Malick, Jérôme: A formulation of the linear discrete Coulomb friction problem via convex optimization (2011)

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