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,RL, and angular orientation distribution of line elements on the fracture profile,f(α). It is shown that (fx1193-01) whereRS is the fracture surface roughness parameter andψ is the profile structure factor, which is completely determined by the profile orientation distribution function,f(α).RL · ψ the expected value of the productRL · ψ on a set of sectioning planes normal to the average topographic plane of the fracture surface; measurement ofRL andψ on few such sectioning planes can give a reliable estimate of the fracture surface roughness,RS. The result is geometrically general, and it is applicable to fracture surfaces of any arbitrary complexity and anisotropy.
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