On a geometrically exact theory for contact interactions

The focus of the contribution is on the development of the unified geometrical formulation of contact algorithms in a covariant form for various geometrical situations of contacting bodies leading to contact pairs: surface‐to‐surface, line‐to‐surface, point‐to‐surface, line‐to‐line, point‐to‐line, point‐to‐point. The computational contact algorithm will be considered in accordance with the geometry of contact bodies in a covariant form. This combination forms a geometrically exact theory of contact interaction, see [1]. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)