Kenneth Kuttler, Meir Shillor
Abstract:
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.
Submitted October 15, 2003. Published June 11, 2004.
Math Subject Classifications: 74M10, 35Q80, 49J40, 74A55, 74H20, 74M15.
Key Words: Dynamic contact, Signorini condition, slip rate dependent
friction, nonlocal friction, viscoelastic body, existence.
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Kenneth Kuttler Department of Mathematics Brigham Young University Provo, UT 84602, USA email: klkuttle@math.byu.edu |
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Meir Shillor Department of Mathematics and Statistics Oakland University Rochester, MI 48309, USA email: shillor@oakland.edu |
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