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Analysis of thermo-mechanical wear problems for reciprocal punch sliding
Affiliation:1. University of Miskolc, Miskolc, Hungary;2. Institute of Fundamental Technological Research, Warsaw, Poland;1. State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China;2. University of Chinese Academy of Sciences, Beijing 100039, China;1. Department of Surgery, Division of Bariatric and General Surgery, Institut Universitaire de Cardiologie et de Pneumologie de Québec, Quebec City, Canada;2. Division of Endocrinology, Department of Medicine, University of British Columbia, Vancouver, Canada;3. School of Nutrition, Laval University, Quebec City, Canada;4. Research Center, Institut Universitaire de Cardiologie et de Pneumologie de Québec, Québec City, Canada;1. Faculty of Engineering, Shahid Beheshti University, Tehran, Iran;2. Faculty of Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract:The relative sliding motion of two elastic bodies in contact induces wear process and contact shape evolution. In the case of a punch sliding on a substrate the transient process tends to a steady state for which the fixed contact stress and strain distribution develops in the contact zone. This state usually corresponds to a minimum of the wear dissipation power. The optimality conditions of the wear dissipation functional provide the contact stress distribution and the wear rate compatible with the rigid body punch motion. The present paper is aimed to extend the previous analyses 1], 2], 3], 4], 5] of steady state conditions to cases of periodic sliding of punch, assuming cyclic steady state conditions for both mechanical and thermal fields.
Keywords:Contact optimization problems  Monotonic and periodic sliding wear  Heat generation  Steady wear state  Shape evolution  p-version of the finite element method
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