Archard Equation
Depending on the boundary conditions. The Archard wear coefficient K was determined by the equation.
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Integrating yields following Reynolds equation for lubricant pressure.
. If you substitute this formula to the equation in the article you will get your equation. In general the Reynolds equation has to be solved using numerical methods such as finite difference or finite element. The equation for b that you posted in your comment assumes a different definition of the reduced elastic modulus 1E while the equations posted in the wiki assume 2E see its definition after equation 1.
2 Q KW H where Q is the volume of material removed from the surface by wear per sliding distance unit V L S W N is the normal load applied between the surfaces and H GPa is the hardness of the softer surface. Pinkerton in Advances in Laser Materials Processing 2010 1627 Tensile and yield strengths. The constant K Archard wear coefficient is dimensionless and always less than unity.
Due to the ubiquitous presence of deformable asperities in self affine hierarchical structures 4 the true contact area at an interface exhibits a linear relationship with the applied normal load. The tensile and yield strengths of a component are related to solidification rates by the Hall-Petch relationship and Kurz and Fischer relationships in the same way as hardness. Archard は円板状粒子としてジャンクションから脱落すると して摩耗式を考えているがその摩耗式は最終的にHolm の 式21と同じ形となるアブレシブ摩耗の場合表面突起 形状により削り取られる量が決まるため確率を導入せずに.
The Archard equation provides a simplified model of asperity deformation when materials in contact are subject to a force. The high cooling rates due to the self-quenching effect of unheated material surrounding a highly. Solution of Reynolds Equation.
7 See the full derivation from Navier-Stokes equations in the following article.
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