PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

A Contact Problem with Normal Compliance, Finite Penetration and Unilateral Constraint

Identyfikatory
Warianty tytułu
Konferencja
French-Polish Seminar of Mechanics (19 ; 8-11.06. 2011 ; Perpignan, France)
Języki publikacji
EN
Abstrakty
EN
We consider a quasistatic problem which describes the contact between a viscoplastic body and an obstacle, the so-called foundation. The contact is frictionless and is modelled with a version of the normal compliance condition in which the penetration is restricted with unilateral constraint. The mathematical analysis of the problem, including, existence, uniqueness and convergence results, was provided by Barboteu et al. (2011). Here we present numerical simulations in the study of an academic two-dimensional contact example.
Rocznik
Strony
60--69
Opis fizyczny
Bibliogr. 14 poz., il., wykr.
Twórcy
autor
autor
Bibliografia
  • 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.
  • Barboteu, M., Matei, A., Sofonea, M., Analysis of Quasistatic Viscoplastic Contact Problems with Normal Compliance, submitted to Quarterly Journal of Mechanics and Applied Mathematics.
  • Cristescu, N., Suliciu, I., 1982, Viscoplasticity, Martinus Nijhoff Publishers, Editura Tehnica, Bucharest.
  • Han, W., Sofonea M., 2002, Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity, Studies in Advanced Mathematics 30, Americal Mathematical Society - International Press, Sommerville, MA.
  • Ionescu, I.R., Sofonea, M., 1993, Functional and Numerical Methods in Viscoplasticity, Oxford University Press, Oxford.
  • Jarusek, J., Sofonea M., On the solvability of dynamic elastic-visco-plastic contact problems, 2008, Zeitschrift fur Angewandte Matematik und Mechanik (ZAMM), 88, 3-22.
  • Klarbring, A., Mikelić A., Shillor, M., 1988, Frictional contact problems with normal compliance, Int. J. Engng. Sci., 26, 811-832.
  • Klarbring, A., Mikelić, A., Shillor, M., 1989, On friction problems with normal compliance, Nonlinear Analysis, 13 (1989), 935-955.
  • Laursen, T., 2002, Computational Contact and Impact Mechanics, Springer, Berlin.
  • 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: Theory, Methods and Applications 11, 407-428.
  • 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.
  • Shillor, M., Sofonea, M., Telega, J.J., 2004, Models and Analysis of Quasistatic Contact, Lecture Notes in Physics, 655, Springer, Berlin.
  • Sofonea, M., Matei, A., 2011, History-dependent quasivariational inequalities arising in Contact Mechanics, European Journal of Applied Mathematics, 22, 471-491.
  • Wriggers, P., 2002, Computational Contact Mechanics, Wiley, Chichester.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0054-0014
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.