On moving continua with contacts and sliding friction: Modeling, general properties and examples

Many technical applications feature contacts between moving continua, where the contact zone is more or less spatially fixed. This contribution describes the modeling of such systems by means of weak formulations derived from Hamilton’s Principle in a material as well as a spatial formulation. Furthermore, linearizations about a stationary solution are carried out, the arising differential operators are stated and discussed with respect to symmetry. Particular attention is paid to the structure and physical interpretation of the contributions arising from the contacts as well as those due to the transport motion. The article closes with several examples.