<p>The shear behavior of rock joints is a key factor in geomechanical stability. Although friction has been previously examined from an energetic perspective, the specific influence of self-affine roughness on energy partitioning during shear remains unclear. In this work, we present a detailed energetic analysis of the shear response of self-affine rock joints, obtained from Discrete Element Method (DEM) simulations. Eight paired joints were generated using combinations of roughness exponent <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>H</mi> </math></EquationSource> </InlineEquation>, correlation length <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(Lc\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">Lc</mi> </mrow> </math></EquationSource> </InlineEquation>​, and height variance <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(Var(z)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>V</mi> <mi>a</mi> <mi>r</mi> <mo stretchy="false">(</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, and the DEM model was carefully calibrated and validated against experimental results, ensuring reliable reproduction of shear behavior. The energetic analysis shows that joint roughness governs how input shear work is redistributed among heat generation, dilatancy, elastic storage, and fracture processes. Rougher joints promote increased elastic storage and asperity breakage, whereas smoother joints favor direct frictional dissipation. These findings provide a novel framework linking self-affine roughness descriptors with the energetic pathways of friction, with implications for rock engineering stability, seismic hazard assessment, and energy dissipation processes in fractured rock masses.</p>

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Energetic Analysis of Friction of Rock Joints with Self-Affine Roughness

  • Alberto Varela Valdez,
  • Stéphane Morel,
  • Gilles Pijaudier-Cabot,
  • Christian LaBorderie,
  • Victor I. German Flores,
  • Moisés Hinojosa Rivera

摘要

The shear behavior of rock joints is a key factor in geomechanical stability. Although friction has been previously examined from an energetic perspective, the specific influence of self-affine roughness on energy partitioning during shear remains unclear. In this work, we present a detailed energetic analysis of the shear response of self-affine rock joints, obtained from Discrete Element Method (DEM) simulations. Eight paired joints were generated using combinations of roughness exponent \(H\) H , correlation length \(Lc\) Lc ​, and height variance \(Var(z)\) V a r ( z ) , and the DEM model was carefully calibrated and validated against experimental results, ensuring reliable reproduction of shear behavior. The energetic analysis shows that joint roughness governs how input shear work is redistributed among heat generation, dilatancy, elastic storage, and fracture processes. Rougher joints promote increased elastic storage and asperity breakage, whereas smoother joints favor direct frictional dissipation. These findings provide a novel framework linking self-affine roughness descriptors with the energetic pathways of friction, with implications for rock engineering stability, seismic hazard assessment, and energy dissipation processes in fractured rock masses.