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000201503 1001_ $$0P:(DE-HGF)0$$aLyashenko, I. A.$$b0$$eCorresponding Author
000201503 245__ $$aOn the Validity of the Method of Reduction of Dimensionality: Area of Contact, Average Interfacial Separation and Contact Stiffness
000201503 260__ $$aBasel$$bBaltzer$$c2013
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000201503 520__ $$aIt has recently been suggested that many contact mechanics problems between solids can be accurately studied by mapping the problem on an effective one-dimensional (1D) elastic foundation model. Using this 1D mapping, we calculate the contact area and the average interfacial separation between elastic solids with nominally flat but randomly rough surfaces. We show, by comparison to exact numerical results, that the 1D mapping method fails even qualitatively. We also calculate the normal interfacial stiffness K and compare it with the result of an analytic study. We attribute the failure of the elastic foundation model to the incorrect treatment of the long-range elastic coupling between the asperity contact regions.
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000201503 7001_ $$0P:(DE-HGF)0$$aPastewka, Lars$$b1
000201503 7001_ $$0P:(DE-Juel1)130885$$aPersson, Bo$$b2$$ufzj
000201503 773__ $$0PERI:(DE-600)2015908-0$$a10.1007/s11249-013-0208-9$$gVol. 52, no. 2, p. 223 - 229$$n2$$p223 - 229$$tTribology letters$$v52$$x1573-2711$$y2013
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