{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T09:10:20Z","timestamp":1758273020656},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,10]]},"abstract":"<jats:p> This work is devoted to modeling and the analytical\/numerical analysis of tribological processes occurring on the contact surface of shields of a mechanical friction clutch. Although the considered problems have been already studied earlier, however, simplified mathematical models have been used and applied. Unlike previous works, our work takes into account elasticity and wear properties of material of shields rubbing themselves. A general nonlinear differential model of wear is considered, as well as a wear model in the integral form taking into account gradual decrease of speed of wear of shields as a result of abrasive adapting to each other in the process of the exploitation. Equations modeling contact pressure on the contact surface of shields are derived and they yield the contact pressure and the wear of the shields. An analytical\/numerical analysis is carried out with the qualitative and quantitative theories of differential and integral equations, including Laplace transformation. Many interesting results are obtained, illustrated and discussed. The presented results can be widened and used in other disciplines of the science, for instance, in physics of solids or biomechanics of various human joints. <\/jats:p>","DOI":"10.1142\/s0218127411030192","type":"journal-article","created":{"date-parts":[[2011,9,12]],"date-time":"2011-09-12T04:42:56Z","timestamp":1315802576000},"page":"2861-2869","source":"Crossref","is-referenced-by-count":12,"title":["MODELING AND ANALYTICAL\/NUMERICAL ANALYSIS OF WEAR PROCESSES IN A MECHANICAL FRICTION CLUTCH"],"prefix":"10.1142","volume":"21","author":[{"given":"J.","family":"AWREJCEWICZ","sequence":"first","affiliation":[{"name":"Department of Automation and Biomechanics, Technical University of Lodz, Stefanowski 1\/15 Str., 90-924 Lodz, Poland"}]},{"given":"D.","family":"GRZELCZYK","sequence":"additional","affiliation":[{"name":"Department of Automation and Biomechanics, Technical University of Lodz, Stefanowski 1\/15 Str., 90-924 Lodz, Poland"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1721448"},{"key":"rf2","first-page":"274","volume":"9","author":"Gavrikov M. V.","journal-title":"Treniye i Iznos"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1115\/1.3111079"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1115\/1.3111080"},{"key":"rf5","volume-title":"Development of the Science of Friction","author":"Kragelsky I. V.","year":"1956"},{"key":"rf6","first-page":"502","volume":"2","author":"Kuzmenko A. G.","journal-title":"Treniye i Iznos"},{"key":"rf7","volume-title":"Tribology. Friction, Wear and Lubrication","author":"Lawrowski Z.","year":"1993"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(85)90009-X"},{"key":"rf10","volume-title":"Thermodynamic Interpretation of Friction and Wear","author":"Sadowski J.","year":"1999"},{"key":"rf11","volume-title":"Issues of Wear of Elements of Machines Caused by the Friction","author":"Solski P.","year":"1969"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7683(95)00140-9"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-8928(99)00100-8"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127411030192","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:37:38Z","timestamp":1565116658000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127411030192"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10]]},"references-count":12,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[2011,10]]}},"alternative-id":["10.1142\/S0218127411030192"],"URL":"https:\/\/doi.org\/10.1142\/s0218127411030192","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10]]}}}