Author(s)

J. Jäger

Abstract

New analytical solutions for a flat rounded punch compared with FEM J. Jager Lauterback Verfahrenstechnik, Germany Abstract Recently, a generalized Coulomb law for elastic bodies in contact was developed by the author and several applications for elastic half-planes, half-spaces, thin and thick layers and impact problems have been published. This theory assumes that the tangential traction is the difference of the slip stress of the contact and the stick area, and each stick area is a smaller contact area. It holds for multiple contact regions also. For plane contact of equal bodies with friction, it provides exact solutions and the interior stress field can be expressed with analytical results in closed form. In this article, a symmetric superposition of flat punch solutions is outlined and some useful formulas are listed. The necessary assumptions and simplifications are discussed. It is shown that this superposition satisfies Coulomb's inequalities directly and can also be u

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