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Title of Journal: Acta Mech

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Abbravation: Acta Mechanica

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Springer Vienna

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DOI

10.1007/s00394-012-0421-6

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1619-6937

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Elastohydrodynamic lubrication modeling for materi

Authors: Qingbing Dong Kun Zhou
Publish Date: 2014/04/19
Volume: 225, Issue: 12, Pages: 3395-3408
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Abstract

This paper presents a semianalytic solution for multiple cracks beneath a halfspace surface under elastohydrodynamic lubrication EHL contact The solution not only takes into account the fluid–structure interactions in the EHL contact but also the interactions among all the cracks In developing the governing equation each crack of mixed modes I and II is modeled as a continuous distribution of climb and glide dislocations with unknown densities With such a treatment the original problem for materials with multiple cracks is converted into two subproblems a homogeneous EHL contact problem with the fluid pressure distribution and the lubricant film thickness to be determined and a halfspace problem with unknown dislocation densities which are iteratively obtained by a modified conjugate gradient method A numerical algorithm is developed to integrate the two problems The computational process is performed until the convergence of the displacements which are the sum of the displacements due to the fluid pressure and the subsurface cracks Sample cases are presented to analyze the pressure and lubricant film thickness profiles of EHL contact and the subsurface stresses for cracked materials

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