Some dynamic contact problems with friction can be formulated as an implicit variational inequality. A time discretization of such an inequality is given here, thus giving rise to a so-called incremental solution. The convergence of the incremental solution is established, and then the limit is shown to be the unique solution of the variational inequality. This paper contains therefore not only some new results concerning the numerical aspect of some models of contact and friction but also a constructive existence result.
Publié le : 2001-07-05
Classification:
time discretization,
implicit inequality,
dynamic frictional contact problems,
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the solides [physics.class-ph],
[PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Mechanics of the solides [physics.class-ph]
@article{hal-00835947,
author = {Ricaud, Jean-Marc and Pratt, Elaine},
title = {Analysis of a time discretization for an implicit variational inequality modelling dynamic contact problems with friction},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00835947}
}
Ricaud, Jean-Marc; Pratt, Elaine. Analysis of a time discretization for an implicit variational inequality modelling dynamic contact problems with friction. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00835947/