Imaging surface contacts: power law contact distributions and contact stresses in quartz, calcite, glass and acrylic plastic

Imaging surface contacts: power law contact distributions and contact stresses in quartz,... A procedure has been developed to obtain microscope images of regions of contact between roughened surfaces of transparent materials, while the surfaces are subjected to static loads or undergoing frictional slip. Static loading experiments with quartz, calcite, soda-lime glass and acrylic plastic at normal stresses to 30 MPa yield power law distributions of contact areas from the smallest contacts that can be resolved (3.5 μm 2 ) up to a limiting size that correlates with the grain size of the abrasive grit used to roughen the surfaces. In each material, increasing normal stress results in a roughly linear increase of the real area of contact. Mechanisms of contact area increase are by growth of existing contacts, coalescence of contacts and appearance of new contacts. Mean contacts stresses are consistent with the indentation strength of each material. Contact size distributions are insensitive to normal stress indicating that the increase of contact area is approximately self-similar. The contact images and contact distributions are modeled using simulations of surfaces with random fractal topographies. The contact process for model fractal surfaces is represented by the simple expedient of removing material at regions where surface irregularities overlap. Synthetic contact images created by this approach reproduce observed characteristics of the contacts and demonstrate that the exponent in the power law distributions depends on the scaling exponent used to generate the surface topography. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Tectonophysics Elsevier

Imaging surface contacts: power law contact distributions and contact stresses in quartz, calcite, glass and acrylic plastic

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Publisher
Elsevier
Copyright
Copyright © 1996 Elsevier Ltd
ISSN
0040-1951
eISSN
1879-3266
D.O.I.
10.1016/0040-1951(95)00165-4
Publisher site
See Article on Publisher Site

Abstract

A procedure has been developed to obtain microscope images of regions of contact between roughened surfaces of transparent materials, while the surfaces are subjected to static loads or undergoing frictional slip. Static loading experiments with quartz, calcite, soda-lime glass and acrylic plastic at normal stresses to 30 MPa yield power law distributions of contact areas from the smallest contacts that can be resolved (3.5 μm 2 ) up to a limiting size that correlates with the grain size of the abrasive grit used to roughen the surfaces. In each material, increasing normal stress results in a roughly linear increase of the real area of contact. Mechanisms of contact area increase are by growth of existing contacts, coalescence of contacts and appearance of new contacts. Mean contacts stresses are consistent with the indentation strength of each material. Contact size distributions are insensitive to normal stress indicating that the increase of contact area is approximately self-similar. The contact images and contact distributions are modeled using simulations of surfaces with random fractal topographies. The contact process for model fractal surfaces is represented by the simple expedient of removing material at regions where surface irregularities overlap. Synthetic contact images created by this approach reproduce observed characteristics of the contacts and demonstrate that the exponent in the power law distributions depends on the scaling exponent used to generate the surface topography.

Journal

TectonophysicsElsevier

Published: May 15, 1996

References

  • Elastic/plastic indentation damage in ceramics: the median/radial crack system
    Lawn, B.R.; Evans, A.G.; Marshall, D.B.
  • The Fractal Geometry of Nature
    Mandelbrot
  • Growth of contact area between rough surfaces under normal stress
    Stesky, R.M.; Hannan, S.S.
  • Fractals in geology and geophysics
    Turcotte, D.L.

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