The stress concentration factor for slightly roughened random surfaces: Analytical solution

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Abstract

We derive an analytical solution to the stress concentration factor ( kt) for slightly roughened random surfaces. Topology is assumed to possess Gaussian distribution of heights and auto correlation length, ACL. For our development, we combine Gao's first-order perturbation method, the Hilbert transform, and an energy conservation principal related to the Parseval theorem.The root-mean-square (RMS) value of kt results in a function of the ratio RMS-roughness to ACL. The derived formula agrees with experimental results previously reported. The results provide insight for more efficient design.

Original languageEnglish (US)
Pages (from-to)2012-2018
Number of pages7
JournalInternational Journal of Solids and Structures
Volume51
Issue number10
DOIs
StatePublished - May 15 2014

Keywords

  • Analytical solution
  • Random rough surfaces
  • Stress concentration factor

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