The Rolling Contact Problem

  • J. J. Kalker
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 2)


In this chapter we will consider the continuum theory of rolling contact. In our considerations, we concentrate on the continuum aspects of rolling : how a contact region is formed between massive elastic bodies, and how the tangential force is distributed over the contact region and inside the elastic bodies. In a rigid body system with friction, the bodies either slip over each other, or the friction keeps them glued together. In an elastic body system with friction, it can be that in part of the contact area there is slip, while in another part there is adhesion. As a consequence, the bodies seem to slide slowly at the contact, a phenomenon called creepage. Rigid systems and elastic bodies are compared in Fig. 1.1.


Contact Area Contact Problem Contact Formation Rolling Contact Undeformed State 
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Copyright information

© Springer Science+Business Media Dordrecht 1990

Authors and Affiliations

  • J. J. Kalker
    • 1
  1. 1.Department of Mathematics and InformaticsTH DelftThe Netherlands

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