Regularity of Solutions to Dynamic Contact Problems

• Autorzy: Barboteu M. , Sofonea M.
• Konferencja: French-Polish Seminar of Mechanics (18 ; 31.05.2010 ; Warsaw, Poland)
• Języki publikacji: EN

Abstrakty

EN

We investigate the regularity in time of solutions of two dynamic frictionless contact problems. The first problem describes the vibration of a mass-spring system and the second one concerns the contact of an elastic rod. In both models the contact is described with normal compliance. We show that the regularity of the normal compliance function determines the regularity of the solution.

Słowa kluczowe

EN

frictionless contact; mass-spring system; elastic rod

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2010
• Tom: Vol. 34, No. 1
• Strony: 5--13
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Barboteu M.

autor

Sofonea M.

• Universite de Perpignan. Laboratoire de Mathematiques et Physique,

Bibliografia

• Han, W., Sofonea, M., 2002, Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity, Studies in Advanced Mathematics, 30, American Mathematical Society, Providence, RI - Intl. Press, Sommerville, MA.
• Klarbring, A., Mikelic, A., Shillor, M., 1988, Frictional contact problems with normal compliance, Int. J. Engng. Sci. 26, 811-832.
• Kuttler, K., Shillor, M., 2004, Regularity of solutions to a dynamic frictionless contact problem with normal compliance, Nonlinear Analysis, 59, 1063-1075.
• Martins, J. A. C., Odeń, J. T., 1987, Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws, Nonlinear Analysis TMA, 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 Variational Analysis of Quasistatic Contact, Lect. Notes Phys., 655, Springer, Berlin Heidelberg.
• Wriggers, P., 2002, Computational Contact Mechanics, Wiley, Chichester.