Singular perturbation approach to an elastic dry friction problem with non-monotone coefficient
Renard, Yves
HAL, hal-00690555 / Harvested from HAL
Text on HAL
In this paper, we study a one-dimensional dynamical model of dry friction with slip velocity dependent coefficient. In many cases, this model has more than one solution. We introduce a perturbed friction condition which allows to recover the uniqueness of the solution. We show that perturbated problem solutions pointwise converge to a particular solution of the initial problem when the perturbation parameter tends to zero. The singular perturbation approach provides the analysis of a criterion used to select a solution of the problem, and suggests a method to study more elaborated dry friction problems.
Publié le : 2000-07-04
Classification:  Boundary layers,  Coefficient of friction,  Dry friction,  Sliding,  Differential equations,  Cauchy problem,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00690555,
     author = {Renard, Yves},
     title = {Singular perturbation approach to an elastic dry friction problem with non-monotone coefficient},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00690555}
}

Renard, Yves. Singular perturbation approach to an elastic dry friction problem with non-monotone coefficient. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00690555/