The Simplified Theory of Contact

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


The theory of elasticity is based on a linear relationship between stresses and strains, see Appendix A. Consequently, the surface displacement of a body at a certain point depends linearly on the surface tractions at all points of the surface, in the manner of Eq. (1.37) (Ch. 1). In the simplified theory of rolling contact, introduced by Kalker in 1973, this complicated relation is replaced by the assumption that the surface displacement at a point x depends linearly on the surface traction at the same point x only.


Contact Area Surface Displacement Pure Spin Rolling Contact Exact Theory 
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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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