Free Access
Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
Page(s) 147 - 162
Published online 27 January 2009
  1. L.-E. Andersson. Existence results for quasistatic contact problems with Coulomb friction, Appl. Math. Optim., 42 (2000), 169–202. [CrossRef] [MathSciNet]
  2. J.R. Barber, P. Hild. Non-uniqueness, eigenvalue solutions and wedged configurations involving Coulomb friction, Proceedings of the IJTC 2004, ASME/STLE International Joint Tribology Conference, Long Beach California, USA, 24-27 October 2004, Part A, 127–132.
  3. C. Eck, J. Jarušek. Existence results for the static contact problem with Coulomb friction, Math. Models Meth. Appl. Sci., 8 (1998), 445–468. [CrossRef] [MathSciNet]
  4. C. Eck, J. Jarušek, M. Krbec. Unilateral contact problems: variational methods and existence theorems, Pure and Applied Mathematics 270, CRC Press, 2005.
  5. W. Han, M. Sofonea. Quasistatic contact problems in viscoelasticity and viscoplasticity, American Mathematical Society, International Press, 2002.
  6. J. Haslinger, I. Hlaváček, J. Nečas. Numerical methods for unilateral problems in solid mechanics, in Handbook of Numerical Analysis, Volume IV, Part 2, eds. P.G. Ciarlet and J. L. Lions, North Holland, 1996, pp. 313–485.
  7. R. Hassani, I. Ionescu, E. Oudet. Critical friction for wedged configurations, Int. J. Solids Structures, 44 (2007), 6187–6200. [CrossRef]
  8. R. Hassani, I. Ionescu, N.-D. Sakki. Unstable perturbation of the equilibrium under Coulomb friction. Nonlinear eigenvalue analysis, Comput. Methods Appl. Mech. Engrg., 196 (2007), 2377–2389. [CrossRef] [MathSciNet]
  9. P. Hild. Non-unique slipping in the Coulomb friction model in two-dimensional linear elasticity, Q. Jl. Mech. Appl. Math., 57 (2004), 225–235. [CrossRef]
  10. P. Hild. Multiple solutions of stick and separation type in the Signorini model with Coulomb friction, Z. Angew. Math. Mech., 85 (2005), 673–680. [CrossRef] [MathSciNet]
  11. A. Klarbring, A. Mikelíc, M. Shillor. Frictional contact problems with normal compliance, Int. J. Engng. Sci., 26 (1988), 811–832. [CrossRef] [MathSciNet]
  12. A. Klarbring, A. Mikelíc, M. Shillor. On friction problems with normal compliance, Nonlinear Anal., 13 (1989), 935–955. [CrossRef] [MathSciNet]
  13. J.A.C. Martins, J.T. Oden. Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws, Nonlinear Anal., 11 (1987), 407–428. [CrossRef] [MathSciNet]
  14. J.A.C. Martins, M.D.P. Monteiro Marques (Eds.) Contact Mechanics, Proceedings of the third Contact Mechanics International Symposium, Solid Mechanics and its Applications 103, Kluwer, 2002.
  15. C. Naéjus, A. Cimetière. Sur la formulation variationnelle du problème de Signorini avec frottement de Coulomb, C. R. Acad. Sci. Sér. I Math., 323 (1996), 307–312.
  16. J. Nečas, J. Jarušek, J. Haslinger. On the solution of the variational inequality to the Signorini problem with small friction, Bolletino U.M.I., 17 (1980), No. 5, 796–811.
  17. J.T. Oden, J.A.C. Martins. Models and computational methods for dynamic friction phenomena, Comput. Methods. Appl. Mech. Engrg., 52 (1985), 527–634. [CrossRef] [MathSciNet]
  18. Y. Renard. A uniqueness criterion for the Signorini problem with Coulomb friction, SIAM J. Math. Anal., 38 (2006), 458–467.
  19. R. Rocca, M. Cocu. Existence and approximation of a solution to quasistatic Signorini problem with local friction, Int. J. Engrg. Sci., 39 (2001), 1233–1255. [CrossRef]
  20. M. Shillor (Ed.) Recent advances in contact mechanics, Mathl. Comput. Modelling, 28 (1998), No. 4–8, 1–534.
  21. P. Wriggers, U. Nackenhorst (Eds.) Analysis and simulation of contact problems, Proceedings of the fourth Contact Mechanics International Symposium, Lecture Notes in Applied and Computational Mechanics 27, Springer, 2006.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.