Geodesic
Dynamic contact with Signorini's condition and slip rate dependent friction
Electronic journal of differential equations, Tome 2004 (2004)
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__a62,
     author = {Kuttler,  Kenneth and Shillor,  Meir},
     title = {Dynamic contact with {Signorini's} condition and slip rate dependent friction},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1081.74035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a62/}
}
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
UR  - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a62/
LA  - en
ID  - EJDE_2004__2004__a62
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
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a62/
%G en
%F EJDE_2004__2004__a62
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__a62/