<p>Accurately predicting the interfacial gap and stiffness between rough solids is essential for understanding contact behavior in tribological, sealing, and thermal systems. This work proposes a novel model that accurately captures the evolution of mean interfacial gap and stiffness from initial finite contacts to accumulated statistical response. The obtained load-gap relationship is validated against boundary element simulations of elastic rough contact, showing excellent agreement across a wide range of normal loads. Unlike conventional models, the proposed approach captures finite-size effects at light loads, yielding a sublinear power-law scaling of stiffness with load, and transitions seamlessly to the linear regime at higher loads. The model provides a simple, parameter-free tool for quantitative analysis of rough surface contacts.</p>

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An Incremental Model for Interfacial Stiffness Unifying Sublinear and Linear Scaling Regimes

  • Xuan-Ming Liang,
  • Gang-Feng Wang

摘要

Accurately predicting the interfacial gap and stiffness between rough solids is essential for understanding contact behavior in tribological, sealing, and thermal systems. This work proposes a novel model that accurately captures the evolution of mean interfacial gap and stiffness from initial finite contacts to accumulated statistical response. The obtained load-gap relationship is validated against boundary element simulations of elastic rough contact, showing excellent agreement across a wide range of normal loads. Unlike conventional models, the proposed approach captures finite-size effects at light loads, yielding a sublinear power-law scaling of stiffness with load, and transitions seamlessly to the linear regime at higher loads. The model provides a simple, parameter-free tool for quantitative analysis of rough surface contacts.