000254864 001__ 254864
000254864 005__ 20190619220023.0
000254864 0247_ $$2doi$$a10.1016/j.ijengsci.2019.02.003
000254864 02470 $$a10.1016/j.ijengsci.2019.02.003$$2DOI
000254864 037__ $$aARTICLE
000254864 245__ $$aQuantifying uncertainties in contact mechanics of rough surfaces using the multilevel Monte Carlo method
000254864 260__ $$c2019
000254864 269__ $$a2019
000254864 336__ $$aJournal Articles
000254864 520__ $$aWe quantify the effect of uncertainties on quantities of interest related to contact mechanics of rough surfaces. Specifically, we consider the problem of frictionless non adhesive normal contact between two semi infinite linear elastic solids subject to uncertainties. These uncertainties may for example originate from an incomplete surface description. To account for surface uncertainties, we model a rough surface as a suitable Gaussian random field whose covariance function encodes the surface’s roughness, which is experimentally measurable. Then, we introduce the multilevel Monte Carlo method which is a computationally efficient sampling method for the computation of the expectation and higher statistical moments of uncertain system outputs, such as those derived from contact simulations. In particular, we consider two different quantities of interest, namely the contact area and the number of contact clusters, and show via numerical experiments that the multilevel Monte Carlo method offers significant computational gains compared to an approximation via a classic Monte Carlo sampling.
000254864 6531_ $$aRough surfaces
000254864 6531_ $$aFrictionless contact
000254864 6531_ $$aContact clusters
000254864 6531_ $$aRandom surface generator
000254864 6531_ $$aMultilevel Monte Carlo
000254864 700__ $$aRey, Valentine
000254864 700__ $$aKrumscheid, Sebastian
000254864 700__ $$aNobile, Fabio$$0241873$$g118353
000254864 773__ $$tInternational Journal of Engineering Science$$j138$$q50-64
000254864 787__ $$whttps://infoscience.epfl.ch/record/263569$$eIs New Version Of
000254864 8560_ $$ffabio.nobile@epfl.ch
000254864 8564_ $$uhttps://infoscience.epfl.ch/record/254864/files/preprint.pdf$$s2332351
000254864 8564_ $$uhttps://infoscience.epfl.ch/record/254864/files/preprint.pdf?subformat=pdfa$$s2942429$$xpdfa
000254864 8564_ $$uhttps://infoscience.epfl.ch/record/254864/files/2019_Rey_Krumscheid_Nobile_IJES_Contact.pdf$$zFinal$$s2104548
000254864 909C0 $$xU12495$$mrachel.bordelais@epfl.ch$$pCSQI$$0252411
000254864 909CO $$qGLOBAL_SET$$pSB$$particle$$ooai:infoscience.epfl.ch:254864
000254864 960__ $$asebastian.krumscheid@epfl.ch
000254864 961__ $$apierre.devaud@epfl.ch
000254864 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000254864 980__ $$aARTICLE
000254864 981__ $$aoverwrite