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The indentation of a spherical punch into an ideally plastic half-space when there is contact friction
Institution:1. Department of Materials Science and Engineering, Delft University of Technology, 2628CD Delft, The Netherlands;2. Zernike Institute for Advanced Materials, University of Groningen, 9747 AG Groningen, The Netherlands;1. Harbin Institute of Technology, Harbin, China;2. Western Digital Corporation, San Jose, USA;3. University of California, San Diego, USA
Abstract:Calculations are presented of the indentation of a spherical punch into an ideally plastic half-space under condition of complete plasticity and taking account of contact friction, which is modelled according to Prandtl and Coulomb. Friction leads to the formation of a rigid zone at the centre of the punch when there is slipping of the material on the remaining part of the contact boundary. Limit values of the friction coefficients are obtained for which the rigid zone extends over the whole of the contact boundary. The dependence of the indentation force on the radius of the plastic area is in good agreement with experimental data.
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