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Transverse and normal interfacial stiffness of solids with randomly rough surfaces

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2011
IOP Publ. Bristol

Journal of physics / Condensed matter 23, 085001 () [10.1088/0953-8984/23/8/085001]

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Abstract: Using a theoretical approach and computer simulations, we calculate the normal stiffness K(perpendicular) and the transverse stiffness K(parallel) of the interface between two contacting isotropic solids with randomly rough surfaces and Poisson ratio ν. The theoretical predictions for K(perpendicular) agree well with the simulations. Moreover, the theoretical result for the ratio K(perpendicular)/K(parallel) is (2 - ν)/(2 - 2ν), as predicted by Mindlin for a single circular contact region. Finally, we compare the theory to experimental ultrasonic data.

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Note: This work, as part of the European Science Foundation EUROCORES Program FANAS, was supported from funds by the DFG and the EC Sixth Framework Program, under contract N ERAS-CT-2003-980409. Conversations with Mark Robbins are gratefully acknowledged.

Contributing Institute(s):
  1. Quanten-Theorie der Materialien (PGI-1)
  2. Quanten-Theorie der Materialien (IAS-1)
Research Program(s):
  1. Grundlagen für zukünftige Informationstechnologien (P42)

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