Separation of the elastic and inertialproperties in three-dimensional systems

Abstract

For a wide class of “typical tribological systems,†there are a number of properties that allow for the significant simplification of contact problems and, in this way, make fast calculations of multi-scalar systems possible. These simplified properties, which are used by the method of dimensionality reduction, include (1) the ability to separate the elastic and inertial properties in three-dimensional systems and (2) the close analogy between three-dimensional contacts and certain one-dimensional problems. The first of these will be discussed in this chapter, while further chapters are dedicated to the second one.