A Complete Single Asperity-Based Statistical Gaussian Rough Surface Contact Model
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A Complete Single Asperity‑Based Statistical Gaussian Rough Surface Contact Model A. Megalingam1 · K. S. Hanumanth Ramji2 Received: 22 April 2020 / Revised: 22 July 2020 / Accepted: 22 September 2020 © Springer Nature Switzerland AG 2020
Abstract Understanding the corrosion behavior of rough surface contacts needs the contact interaction of rough surfaces at asperity level. Generally, single asperity-based statistical rough surface contact model is predominating one in exploring contact behavior of rough surfaces. The FEM-based single asperity contact model is being used extensively to explain the elastic, elastic–plastic, and fully plastic behavior of the rough surface contacts. The empirical expressions to calculate the exact transitions (elastic to elastic–plastic and elastic–plastic to fully plastic states) are still incomplete. The earlier FEM-based single asperity contact models didn’t give mathematical expressions to exactly calculate the elastic, elastic–plastic, and fully plastic transition states by accounting the combined effect of material properties. In this way, in the present work, empirical expressions are developed to calculate the exact transitions of elastic, elastic–plastic and fully plastic states by accounting the combined effect of Young’s modulus, material yield strength, and Poisson’s ratio. The empirical expressions to calculate the dimensionless contact load and contact area are developed for elastic, elastic–plastic, and fully plastic states in terms of dimensionless interference, E/Y ratio, and Poisson’s ratio. Further, it is observed that the plasticity index is not a complete parameter to explore the contact behavior of rough surface contacts. In high surface plasticity index case, the material properties influence significantly compared to the low surface plasticity index case. The Poisson’s ratio significantly influences in low E/Y ratio materials in all the surface plasticity index cases. Keywords Contact analysis · Single asperity · Finite element analysis · Material properties List of Symbols An Nominal contact area A Real contact area A* Dimensionless real contact area, Ar/An d Separation based on asperity heights d* Dimensionless separation, d/σ E Hertz elastic modulus Eʹ Reduced elastic modulus H Hardness of softer material h Separation based on surface heights h* Dimensionless separation h/σ N Total number of asperities P Contact load P* Dimensionless contact load, P/AnEʹ * A. Megalingam [email protected] 1
Department of Mechanical Engineering, Bannari Amman Institute of Technology, Sathyamangalam, Erode, Tamil Nadu, India
Department of Mechatronics, Bannari Amman Institute of Technology, Sathyamangalam, Erode, Tamil Nadu, India
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R Asperity radius of curvature Y Yield strength of asperity y∗s H* − d* z Height of an asperity measured from the mean of asperity heights z* Dimensionless height of an asperity β Surface roughness parameter, ηβσ Φ* Dimensionless distribution function of asperity heights η Area density of asperity ν Poisson’s rati
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