1Department of Mathematical Sciences, Oakland University, Rochester, MI 48309-4401, USA
2Department of Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931 USA
Tóm tắt
We consider the dynamic behaviour of a thermoviscoelastic
body which may come into
frictional contact with a rigid obstacle. The frictional contact is
modelled by general contact
and friction laws which include as special cases the power law normal
compliance condition
and the corresponding generalization of Coulomb's law of
dry friction. The stress-strain
constitutive relation is assumed to be of Kelvin-Voigt type and
the frictional heat generation
on the contact surface is taken into account. In this setting we
establish the existence of
a solution to a weak version of the energy-elasticity system which
consists of a parabolic
equation coupled with a variational inequality.
