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Johnson-Kendall-Roberts adhesive contact for a toroidal indenter. Ivan I. Indentation of concave power law profiles with arbitrary exponents.
Valentin L. Stick—slip boundary friction mode as a second-order phase transition with an inhomogeneous distribution of elastic stress in the contact area Iakov A Lyashenko , Vadym N. Borysiuk , Valentin L Popov.
Method of dimensionality reduction in contact mechanics and friction
Adhesive impact of an elastic sphere with an elastic half space: Numerical analysis based on the method of dimensionality reduction Iakov A Lyashenko , Emanuel Willert , Valentin L Popov. Integrative and Comparative Biology 42 6 , , Facta Universitatis, Series: Mechanical Engineering 12 1 , , Artigos 1—20 Mostrar mais. Ajuda Privacidade Termos.
Contact mechanics and friction. Novosibisrk: Nauka , Influence of ultrasonic in-plane oscillations on static and sliding friction and intrinsic length scale of dry friction processes VL Popov, J Starcevic, AE Filippov Tribology letters 39 1 , , A theory of the transition from static to kinetic friction in boundary lubrication layers VL Popov Solid State Communications 7 , , Method of dimensionality reduction in contact mechanics and friction: a users handbook.
Method of Dimensionality Reduction in Contact Mechanics and Friction
The Method of Dimensionality Reduction MDR is a method of calculation and simulation of contacts of elastic and viscoelastic bodies. It consists essentially of two simple steps: a substitution of the three-dimensional continuum by a uniquely defined one-dimensional linearly elastic or viscoelastic foundation Winkler foundation and b transformation of the three-dimensional profile of the contacting bodies by means of the MDR-transformation. As soon as these two steps are done, the contact problem can be considered to be solved.
- Method of Dimensionality Reduction in Contact Mechanics and Friction.
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For axial symmetric contacts, only a small calculation by hand is required which does not exceed elementary calculus and will not be a barrier for any practically-oriented engineer. Alternatively, the MDR can be implemented numerically, which is almost trivial due to the independence of the foundation elements. In spite of its simplicity, all results are exact.