Normal Stress Distribution of Rough Surfaces in Contact

Abstract

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.

11 pages LaTeX, 4 Postscript figures, submitted to Geophysical Research Letters

Cited by in corpus (7)

• Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
• The fractal geometry of growth: fluctuation-dissipation theorem and hidden symmetry
• A geometrical aperture-width relationship for rock fractures
• The hidden fluctuation-dissipation theorem for growth
• The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
• A geometrical interpretation of critical exponents
• Scaling, Fractal Dynamics and Critical Exponents: Application in a non-integer dimensional Ising model