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Normal stress distribution of rough surfaces in contact
Author(s) -
Hansen Alex,
Schmittbuhl Jean,
Batrouni G. George,
de Oliveira Fernando A.
Publication year - 2000
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2000gl011757
Subject(s) - hurst exponent , surface finish , stress field , affine transformation , stress (linguistics) , rough surface , distribution (mathematics) , exponent , materials science , geometry , physics , mechanics , mathematics , mathematical analysis , statistics , finite element method , composite material , thermodynamics , linguistics , philosophy
We study numerically the stress distribution on the interface between two thick elastic media bounded by interfaces that include spatially correlated asperities. The interface roughness is described using the self‐affine topography that is observed over a very wide range of scales from fractures to faults. We analyse the correlation properties of the normal stress distribution when the rough surfaces have been brought into full contact. The self affinity of the rough surfaces is described by a Hurst exponent H . We find that the normal stress field is also self affine, but with a Hurst exponent H ‐1. Fluctations of the normal stress are shown to be important, especially at local scales with anti‐persistent correlations.