Analysis of a time discretization for an implicit variational inequality modelling dynamic contact problems with friction

Mathematical Methods in the Applied Sciences

Volumn 24, Issue 7, 2001, Pages 491-511

  Ricaud, Jean Marc ^a   Pratt, Elaine ^a,b  

^a LABORATOIRE DE MÉCANIQUE ET D ACOUSTIQUE   (France)

^b AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Dynamic frictional contact problems; Implicit inequality; Time discretization

Indexed keywords

CONSTRAINT THEORY; ELASTOPLASTICITY; FRICTION; MATHEMATICAL MODELS; PLASTIC DEFORMATION;

DYNAMIC FRICTIONAL CONTACT PROBLEM; IMPLICIT INEQUALITY; TIME DISCRETIZATION;

VARIATIONAL TECHNIQUES;

EID: 0035837487     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.223     Document Type: Article

References (11)

1. Brézis H. Problèmes unilatéraux. Master's Thesis, Université de Paris VI, février 1971.
2. Moreau JJ. Liaisons unilatérales sans frottement et chocs inélastiques. Comptes Rendus de l'Academie Sciences Paris 1983; 296:1473-1476.
3. Lebeau G, Schatzman M. A wave problem in a half space with unilateral constraint at the boundary. Journal of Differential Equations 1984; 53:309-361.
4. Duvaut G, Lions JL. Les Inéquations en Mécanique et en Physique. Dunod: Paris, 1972.
5. Martins JAC, Oden JT. Existence and uniqueness results for dynamic contact problems with non-linear normal friction and interface laws. Nonlinear Analysis, Theory Methods & Applications 1987; 11:407-428.
6. Jarušek J, Eck C. Dynamic contact problems with small coulomb friction for viscoelastic bodies, existence of solutions. Mathematical Models and Methods in Applied Sciences 1999; 9:11-34.
7. Oden JT, Martins JAC. Models and computational methods for dynamic friction phenomena. Computer Methods in Applied Mechanics and Engineering 1985; 52:527-634.
8. Ricaud JM. Etude d'une classe d'inéquations d'évolution et application à des problèmes dynamiques de contact avec frottement. Ph.D. Thesis, Université de Provence, novembre 1999.
9. Cocu M. Existence of solutions of signorini problems with friction. International Journal of Engineering Science 1984; 22:567-575.
10. Lebon F, Raous M. Multibody contact problem including friction in structure assembly. Computers and Structures 1992; 43:925-934.
11. Jean M. The non smooth contact dynamics method. Computer Methods in Applied Mechanics and Engineering 1999; 177:135-157.