Geodesic
A quasistatic contact problem with unilateral constraint and slip-dependent friction
Arezki Touzaline1
1 Faculté de Mathématiques, USTHB Laboratoire de Systèmes Dynamiques BP 32 El Alia Bab Ezzouar, 16111, Algeria
Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 167-182.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a mathematical model of a quasistatic contact between an elastic body and an obstacle. The contact is modelled with unilateral constraint and normal compliance, associated to a version of Coulomb's law of dry friction where the coefficient of friction depends on the slip displacement. We present a weak formulation of the problem and establish an existence result. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments.
DOI : 10.4064/am42-2-4
Keywords: consider mathematical model quasistatic contact between elastic body obstacle contact modelled unilateral constraint normal compliance associated version coulombs law dry friction where coefficient friction depends slip displacement present weak formulation problem establish existence result proofs employ time discretization method compactness lower semicontinuity arguments

Arezki Touzaline 1

1 Faculté de Mathématiques, USTHB Laboratoire de Systèmes Dynamiques BP 32 El Alia Bab Ezzouar, 16111, Algeria 
@article{10_4064_am42_2_4,
     author = {Arezki Touzaline},
     title = {A quasistatic contact problem with unilateral constraint and slip-dependent friction},
     journal = {Applicationes Mathematicae},
     pages = {167--182},
     publisher = {mathdoc},
     volume = {42},
     number = {2-3},
     year = {2015},
     doi = {10.4064/am42-2-4},
     zbl = {1327.74120},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am42-2-4/}
}
TY  - JOUR
AU  - Arezki Touzaline
TI  - A quasistatic contact problem with unilateral constraint and slip-dependent friction
JO  - Applicationes Mathematicae
PY  - 2015
SP  - 167
EP  - 182
VL  - 42
IS  - 2-3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am42-2-4/
DO  - 10.4064/am42-2-4
LA  - en
ID  - 10_4064_am42_2_4
ER  - 
%0 Journal Article
%A Arezki Touzaline
%T A quasistatic contact problem with unilateral constraint and slip-dependent friction
%J Applicationes Mathematicae
%D 2015
%P 167-182
%V 42
%N 2-3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am42-2-4/
%R 10.4064/am42-2-4
%G en
%F 10_4064_am42_2_4
Arezki Touzaline. A quasistatic contact problem with unilateral constraint and slip-dependent friction. Applicationes Mathematicae, Tome 42 (2015) no. 2-3, pp. 167-182. doi : 10.4064/am42-2-4. http://geodesic.mathdoc.fr/articles/10.4064/am42-2-4/

Cité par Sources :