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Modeling and Numerical Simulation of a Unilateral Contact Problem with Slip-dependent Friction

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We construct a mathematical model which describes the contact between an elastic body and an obstacle, the so-called foundation. The contact is frictional and is modelled with normal compliance and unilateral constraint, associated to a slip- dependent version of Coulomb’s law of dry friction. We present a detailed description Of the model, then we provide numerical simulations in the study of a two-dimensional Example. Our aim is to underline the influence of the parameters involved in the boundary conditions, which could give rise to different status of the material points c>n the contact surface.
Rocznik
Strony
15--28
Opis fizyczny
Bibliogr. 16 poz., il., wykr.
Twórcy
autor
  • Laboratoire de Mathematiques et Physique, Universite de Perpignan Via Domitia, France
autor
  • Laboratoire de Mathematiques et Physique, Universite de Perpignan Via Domitia, France
autor
  • Laboratoire de Mathematiques et Physique, Universite de Perpignan Via Domitia, France
Bibliografia
  • 1. Alart, P., Curnier, A., 1991, A mixed formulation for frictional contact problems prone to Newton like solution methods, Computer Methods in Applied Mechanics and Engineering, 92, 353-375.
  • 2. Barboteu, M., Bartosz, K., Kalita, P., 2013, An analytical and numerical approach to a bilateral contact problem with nonmonotone friction, International Journal of Applied Mathathematics and Computer Science, 23, 263-276.
  • 3. Barboteu, M., Bartosz, K., Kalita, P., Ramadan, A., 2014, Analysis of a contact problem with normal compliance, finite penetration and nonmonotone slip dependent friction, Communications in Contemporary Mathematics, to appear.
  • 4. Barboteu, M., Matei, A., Sofonea, M., 2012, Analysis of quasistatic viscoplastic contact problems with normal compliance, Quarterly of Mechanics and Applied Mathematics, 65, 555-579.
  • 5. Han, W., Sofonea, M., 2002, Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity, Studies in Advanced Mathematics 30, American Mathematical Society-International Press, Sommerville, MA.
  • 6. Jaruśek, J., Sofonea, M., 2008, On the solvability of dynamic elastic-visco-plastic contact problems, Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 88, 3-22.
  • 7. Kikuchi, N., Oden, J.T., 1998, Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, SIAM, Philadelphia
  • 8. Klarbring, A., Mikelic, A., Shillor, M., 1988, Frictional contact problems with formal compliance, Int. J. Engng. ScL, 26, 811-832.
  • 9. Klarbring, A., Mikelic, A., Shillor, M., 1989 On friction problems with normal compliance, Nonlinear Analysis, 13, 935-955.
  • 10. Laursen, T., 2002, Computational Contact and Impact Mechanics, Springer, Berlin.
  • 11. Martins J.A.C., Oden, J.T., 1987, Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws, Nonlinear Analysis TMA, 11, 407-428.
  • 12. Oden, J.T., Martins, J.A.C., 1985, Models and computational methods for dynamic friction phenomena, Computer Methods in Applied Mechanics and Engineering, 52, 527-634.
  • 13. Shillor, M., Sofonea, M., Telega, J.J., 2004, Models and Analysis of Quasistatic Contact, Lecture Notes in Physics 655, Springer, Berlin.
  • 14. Signorini, A., 1933, Sopra alcune questioni di elastostatica, Atti della Societa Italiana per il Progresso delle Scienze.
  • 15. Sofonea, M., Matei A., 2012, Mathematical Models in Contact Mechanics, London Mathematical Society Lecture Note Series 398, Cambridge University Press, Cambridge.
  • 16. Wriggers, P., 2002, Computational Contact Mechanics, Wiley, Chichester.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-27a7dedd-b5eb-405d-9dac-ca0ad386d07b
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