An Elastic Contact Problem with Normal Compliance and Memory Term

• Autorzy: Barboteu M. , Ramadan A. , Sofonea M. T. , Patrulescu F.
• Języki publikacji: EN

Abstrakty

EN

We consider a history-dependent problem which describes the contact between an elastic body and an obstacle, the so-called foundation. The contact is frictionless and is modeled with a version of the normal compliance condition in which the memory effects are taken into account. The mathematical analysis of the problem, including existence, uniqueness and convergence results, was provided in (Barboteu et al., in preparation). Here we present the analytic expression of the solution and numerical simulations, in the study of one and two-dimensional examples, respectively.

Słowa kluczowe

EN

memory term; normal compliance; elastic body; frictionless contact; numerical simulations; mathematical model

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2012
• Tom: Vol. 36, No. 1
• Strony: 24--34
• Opis fizyczny: Bibliogr. 8 poz., wykr.

Twórcy

autor

Barboteu M.

• Universite de Perpignan, France

autor

Ramadan A.

• Universite de Perpignan, France

autor

Sofonea M. T.

• Universite de Perpignan, France

autor

Patrulescu F.

• Tiberiu Popoviciu Institute of Numerical Analysis, Cluj-Napoca, Romania flavius

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., Patrulescu, F., Sofonea, M., Analysis of a contact problem with normal compliance and memory term, in preparation.
• Han, W., Sofonea M., 2002, Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity, Studies in Advanced Mathematics, 30, American Mathematical Society- International Press, Sommerville, MA.
• Laursen, Т., 2002, Computational Contact and Impact Mechanics, Springer, Berlin.
• Patrulescu, F., 2012, Ordinary Differential Equations and Contact Problems: Modeling, Analysis and Numerical Methods, Ph.D. Thesis, University Babes-Bolyai Cluj-Napoca and University of Perpignan Via Domitia.
• 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.
• Sofonea, M., Matei А., 2012, Mathematical Models in Contact Mechanics, London Mathematical Society Lecture Note Series, 398, Cambridge University Press, Cambridge. Wriggers, P., 2002, Computational Contact Mechanics, Wiley, Chichester.