On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces

Abstract

When two elastic solids with randomly rough surfaces are brought in contact, a very inhomogeneous stress distribution sigma(x) will occur at the interface. Here I study the elastic energy and the correlation function <sigma(q)sigma(-q)>, where sigma(q) is the Fourier transform of sigma(x) and where <...> stands for ensemble average. I relate <sigma(q})sigma(-q)> to the elastic energy stored at the interface, and I show that for self affine fractal surfaces, quite generally <sigma(q)sigma(-q)> \sim q^{-(1+H)}, where H is the Hurst exponent of the self-affine fractal surface.

3 pages

References in corpus (2)

• Contact mechanics: relation between interfacial separation and load
• Contact mechanics: contact area and interfacial separation from small contact to full contact

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• Dependence of Adhesive Friction on Surface Roughness and Elastic Modulus
• Revealing the co-action of viscous and multistability hysteresis in an adhesive, nominally flat punch: A combined numerical and experimental study
• Stochastic process model for interfacial gap of purely normal elastic rough surface contact
• Revisiting the diffusion equation derivation in Persson's theory of contact
• Percolation and Reynolds flow in elastic contacts of isotropic and anisotropic, randomly rough surface