Quasistatic problems in contact mechanics

M. Shillor,
Intl. J. Appl. Math. Comput. Sci., 11(1)(2001), 189-204.

We describe some of our recent results concerning the modelling and analysis
of quasistatic contact problems between a deformable body and a foundation.
We concentrate mainly on frictional contact, and in some of the problems
thermal effects and the wear of the contacting surfaces are also taken into
account. We describe the physical processes involved, the mathematical
models, their variational formulation and then present statements of our
results. We conclude with a description of some unresolved problems.