Tribology Letters

, 67:12 | Cite as

On the Degradation of Tribo-components in Boundary and Mixed Lubrication Regimes

  • K. P. Lijesh
  • M. M. KhonsariEmail author
Original Paper


Recent research in dry (unlubricated) contacts reveals that the Archard’s coefficient K cannot accurately characterize wear when operating under transient conditions such as those encountered during running-in or when the system experiences variable loading or variable speed. In contrast, a so-called degradation coefficient B derived based on the entropic characterization of wear provides realistic results. This paper reports an investigation of the efficacy of extending the results to the boundary and mixed lubrication regimes. For this purpose, experiments were performed on a pin-on-disk test setup with different lubricants at a wide range of operating conditions that cover different lubrication regimes. From the obtained results a new formulation is offered for determining B in a lubricated condition that unitizes the Stribeck curve and the concept of load sharing. The proposed method is validated by comparing the predictions with results available in the existing literature. Further, the efficacy of the proposed method is demonstrated by considering disks made of different materials having different surface roughness values.


Load-sharing concept Mixed lubrication Boundary lubrication Wear 

List of Symbols


Area (m2)


Degradation coefficient (m3 K/J)


Specific heat capacity (J/kg K)


Diameter of the area associated with an absorbed lubricant molecule (m)


Energy of adsorption (J)


Friction force (N)


Film thickness (m)


Hardness (N/m2)


Thermodynamic flow (m/s)


Archard’s coefficient


Applied load (N)


Dissipative process


Dissipated heat (J)


Gas constant (J/gmol/K)


Arithmetic mean roughness of disk (m)


Arithmetic mean roughness of pin (m)


Specific entropy (J/K/m3)


Entropy (J/K)


Temperature (K)


Thickness of control volume (m)


Fundamental time of oscillating of the molecule in the absorbed state (s)


Sliding speed (m/s)


Work done (J)


Wear volume rate (m3/s)


Thermodynamic force (J/K/s)


Degradation force (m3/s)


Fractional defect of the surface film


Film thickness parameter


Entropy generation per unit control volume (J/K/m3)


Thermal conductivity (W/m K)


Friction coefficient


Density (kg/m3)


Load sharing variable


Phenomenological variables


Surface parameter





Flash temperature


Final value




Initial value



The Fellowship for pursuing Post-doctorate of K. P. Lijesh at Louisiana State University, Louisiana, USA, hosted by Professor M. M. Khonsari, was jointly provided by Indo-US Science and Technology Forum (IUSSTF) and Science and Engineering Research Board (SERB), India.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical Engineering and Industrial EngineeringLouisiana State UniversityBaton RougeUSA

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