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A Comparison on Deterministic, Statistical and Statistical with Asperity Interaction Rough Surface Contact Models

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Abstract

Rough surface contact analysis can be enriched if real features of rough surface are considered in three dimension, but single asperity-based statistical model is mostly considered to reduce the computational effort. Limited work is found on combined effect of elastic–plastic deformation and neighbouring asperity interactions for the rough surface contact analysis. In the present work, a Gaussian rough surface is generated by fast Fourier transformation (FFT) approach, and then, three-dimensional deterministic rough surface contact analysis is carried out using finite element method. For the generated rough surface, single asperity-based elastic–plastic statistical contact model is developed. In order to reduce the gap between the above two models, a statistical model with asperity interaction is developed by accounting the effect of neighbouring asperity interaction. The results show that neighbouring asperity interaction significantly affects the load-carrying capacity and bearing area beyond the mean plane of summits.

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Abbreviations

A n :

Nominal contact area

A r :

Real contact area

d :

Mean plane of separation

d/σ:

Dimensionless mean plane of separation

E :

Elastic Young’s modulus

E*:

Composite Young’s modulus

H :

Hardness of the material

h :

Interference of rigid surface

h/σ:

Dimensionless interference of rigid surface

P :

Asperity contact load

P n :

Total contact load

R mean :

Mean summit radius

σY :

Yield strength

υ :

Poisson’s ratio

σ:

Standard deviation of surface heights

β:

Auto correlation length

Δ:

Sampling length

ω :

Asperity interference

σ sumt :

Standard deviation of summit heights

μ sumt :

Mean of summit heights

η :

Summit density

Φ(z):

Probability density height distribution of asperities

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Authors and Affiliations

  1. Department of Mechanical Engineering, Bannari Amman Institute of Technology, Sathyamangalam, Tamilnadu, India

    A. Megalingam

  2. Department of Mechatronics, Bannari Amman Institute of Technology, Sathyamangalam, Tamilnadu, India

    K. S. Hanumanth Ramji

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  1. A. Megalingam
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  2. K. S. Hanumanth Ramji
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Correspondence to A. Megalingam.

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Megalingam, A., Ramji, K.S.H. A Comparison on Deterministic, Statistical and Statistical with Asperity Interaction Rough Surface Contact Models. J Bio Tribo Corros 7, 95 (2021). https://doi.org/10.1007/s40735-021-00526-3

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  • DOI: https://doi.org/10.1007/s40735-021-00526-3

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