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A general method for estimation of fracture surface roughness: Part I. Theoretical aspects

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Abstract

An assumption-free general method is developed for quantitative estimation of fracture surface roughness from the measurements performed on the fracture profiles generated by sectioning planes which are normal to the average topographic plane of the fracture surface. The input data are the profile roughness parameter,R L, and angular orientation distribution of line elements on the fracture profile,f(α). It is shown that

$$R_S = \overline {R_L \cdot \psi } $$

whereR S is the fracture surface roughness parameter andψ is the profile structure factor, which is completely determined by the profile orientation distribution function,f(α).R L · ψ is the expected value of the productR L · ψ on a set of sectioning planes normal to the average topographic plane of the fracture surface; measurement ofR L andψ on few such sectioning planes can give a reliable estimate of the fracture surface roughness,R S. The result is geometrically general, and it is applicable to fracture surfaces of any arbitrary complexity and anisotropy.

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Authors and Affiliations

  1. School of Materials Engineering, Georgia Institute of Technology, 30332-0245, Atlanta, GA

    A. M. Gokhale (Associate Professor) & E. E. Underwood (Professor Emeritus)

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  1. A. M. Gokhale
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  2. E. E. Underwood
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Gokhale, A.M., Underwood, E.E. A general method for estimation of fracture surface roughness: Part I. Theoretical aspects. Metall Trans A 21, 1193–1199 (1990). https://doi.org/10.1007/BF02698249

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  • DOI: https://doi.org/10.1007/BF02698249

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