Contact Mechanics of Rough Spheres: Crossover from Fractal to Hertzian Behavior | Zendy

Roman Pohrt | Zendy; Valentin L. Popov | Zendy

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Contact Mechanics of Rough Spheres: Crossover from Fractal to Hertzian Behavior

Author(s) -

Roman Pohrt,

Valentin L. Popov

Publication year - 2013

Publication title -

advances in tribology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.325

H-Index - 17

eISSN - 1687-5923

pISSN - 1687-5915

DOI - 10.1155/2013/974178

Subject(s) - contact mechanics , stiffness , contact force , fractal , classical mechanics , spheres , mechanics , materials science , physics , finite element method , mathematics , engineering , structural engineering , mathematical analysis , astronomy

We investigate the normal contact stiffness in a contact of a rough sphere with an elastic half-space using 3D boundary element calculations. For small normal forces, it is found that the stiffness behaves according to the law of Pohrt/Popov for nominally flat self-affine surfaces, while for higher normal forces, there is a transition to Hertzian behavior. A new analytical model is derived describing the contact behavior at any force

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