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Statistical model of strongly anisotropic rough surfaces for finite element contact analysis
Author(s) -
Buczkowski Ryszard,
Kleiber Michal
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20001130)49:9<1169::aid-nme994>3.0.co;2-j
Subject(s) - finite element method , geometry , ellipse , anisotropy , asperity (geotechnical engineering) , mathematical analysis , node (physics) , hexahedron , discontinuity (linguistics) , mathematics , quadratic equation , physics , materials science , optics , quantum mechanics , composite material , thermodynamics
The elastic model of anisotropic rough surfaces is considered by approximating the summits by elliptic paraboloids (vertical cross‐sections are parabolas and horizontal cross‐sections are ellipses). The complete description of anisotropic random surfaces is restricted here to strongly rough surfaces; for such surfaces the summits are represented by highly ecctentric elliptic paraboloids having their semi‐major axes oriented in the direction of the grain. The statistical description of random, strongly anisotropic Gaussian surfaces based on the model of Bush et al. [5] is adopted. To calculate the forces and contact area for the single asperity in the elastic range the solution of Hertz is used. For modelling of the discontinuity at the contact surface a quadratic 18‐node zero thickness interface element interacting with a transient 21‐node hexahedral finite element is used. A beam of rectangular cross‐section lying with one of its longitudinal narrow faces against flat rigid base is selected to demonstrate applicability of the method proposed. Copyright © 2000 John Wiley & Sons, Ltd.