Derivation of a Barton standard JRC characterization formula considering sampling interval
Wang Gang
Chen Mingrui
Liu Tingfang
Wang Changsheng
Wu Xuezhen
Guan Hui
Chen Huiyuan
Guan Shangshang
Abstract：Objectives To achieve accurate characterization of the joint roughness coefficient(JRC),this study employs the root mean square of the first derivative(Z₂),a statistical roughness parameter,to quan-tify the two-dimensional joint profile roughness(JRC₂D).Methods Ten Barton standard profiles were pro-cessed using Photoshop to repair breakpoints,remove noise,and enhance pixel quality.The images were then imported into MATLAB to extract coordinate data at different sampling intervals(SI),and Z₂ values were computed accordingly.The influence of SI on Z₂ was analyzed,revealing that Z₂ decreases with in-creasing SI.An exponential function was fitted to the Z₂-SI data,and the resulting expression was then re-gressed against JRC values.Results A new JRC₂D characterization formula applicable for SI ∈[0.1 mm,2.0 mm]was proposed.The parameter JRCP was introduced to validate the accuracy of the formula.A com-parative analysis was conducted between the proposed JRC-Z₂ formula and previous JRC characterization models,with the JRC p variation trends across profiles examined.Conclusions The proposed JRC-Z₂ for-mula,which accounts for sampling interval effects,demonstrates improved accuracy within its applicable range and more realistically reflects the roughness characteristics of the Barton standard profiles.These find-ings provide a theoretical reference for the precise evaluation of structural surface roughness.
Keywords：Barton standard profilestructural surface roughnesssampling intervalroot mean square of first derivativeexponential fitting
Publication Date：2025-09-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 152-160 )