Geodesic
Dynamic contact with Signorini's condition and slip rate dependent friction
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized contact stress. The existence in the case of a friction coefficient that is a graph, which describes the jump from static to dynamic friction, is established, too. The proofs employ the theory of set-valued pseudomonotone operators applied to approximate problems and a priori estimates.
Classification : 74M10, 35Q80, 49J40, 74A55, 74H20, 74M15
Keywords: dynamic contact, Signorini condition, slip rate dependent friction, nonlocal friction, viscoelastic body, existence 
@article{EJDE_2004__2004__a162,
     author = {Kuttler, Kenneth and Shillor, Meir},
     title = {Dynamic contact with {Signorini's} condition and slip rate dependent friction},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a162/}
}
TY  - JOUR
AU  - Kuttler, Kenneth
AU  - Shillor, Meir
TI  - Dynamic contact with Signorini's condition and slip rate dependent friction
JO  - Electronic Journal of Differential Equations
PY  - 2004
VL  - 2004
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a162/
LA  - en
ID  - EJDE_2004__2004__a162
ER  - 
%0 Journal Article
%A Kuttler, Kenneth
%A Shillor, Meir
%T Dynamic contact with Signorini's condition and slip rate dependent friction
%J Electronic Journal of Differential Equations
%D 2004
%V 2004
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a162/
%G en
%F EJDE_2004__2004__a162
Kuttler, Kenneth; Shillor, Meir. Dynamic contact with Signorini's condition and slip rate dependent friction. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a162/