Abstract

The interaction between elastic bodies as a result of internal forces within a common surface (contact area) is a very typical one in structural mechanics. The contact area is often well defined and easy to describe, but in some cases the contact surface is not known exactly a priori. Such problems are called contact problems [1]. They are characterized by the difficulty that the solution of mechanical quantities (stress, deformation) depends on the size of the contact area and therefore on its unknown boundaries. So, these boundaries too are, along with other mechanical quantities, part of the solution. This paper deals with one-dimensional contact areas. The mechanical system to be investigated is an elastic beam which gets into contact with a massless elastic surface. The investigated system serves as an example how contact problems in structural mechanics can be solved numerically.

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