0
Technical Brief: Technical Brief

# Wear Modeling Revisited Using Electrical Analogy

[+] Author and Article Information
M. Hanief

Mechanical Engineering Department,
National Institute of Technology,
Srinagar 190006, Jammu and Kashmir, India
e-mail: hanief@nitsri.net

M. F. Wani

Mechanical Engineering Department,
National Institute of Technology,
Srinagar 190006, Jammu and Kashmir, India
e-mail: mfwani@nitsri.net

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received August 18, 2016; final manuscript received January 8, 2017; published online July 18, 2017. Assoc. Editor: Sinan Muftu.

J. Tribol 139(6), 064502 (Jul 18, 2017) (5 pages) Paper No: TRIB-16-1267; doi: 10.1115/1.4035780 History: Received August 18, 2016; Revised January 08, 2017

## Abstract

Electrical analogy has been used extensively in modeling various mechanical systems such as thermal, hydraulic, and other dynamic systems. However, wear modeling of a tribosystem using electrical analogy has not been reported so far. In this paper, an equivalent electrical analogous system is proposed to represent the wear process. An analogous circuit is developed by mapping the wear process parameters to that of the electrical parameters. The circuit, thus, developed is solved by conventional electrical circuit theory. The material properties and operating conditions are taken into account by model parameters. Accordingly, a model equation in terms of model parameters is developed to represent the wear rate. It is also demonstrated how this methodology can be used to take various system parameters into account by incorporating the equivalent resistance of the parameters. The nonlinear model parameters are evaluated by Gauss–Newton (GN) algorithm. The proposed model is validated by using experimental data. A comparison of the proposed model with the experimental results, based on statistical methods: coefficient of determination (R2), mean-square-error (MSE) and mean absolute percentage error (MAPE), indicates that the model is competent to predict the wear with a high degree of accuracy.

<>

## References

Kloss, H. , and Wäsche, R. , 2009, “ Analytical Approach for Wear Prediction of Metallic and Ceramic Materials in Tribological Applications,” Wear, 226(3–4), pp. 476–481.
Fillot, N. , Iordanoff, I. , and Berthier, Y. , 2005, “ Simulation of Wear Through Mass Balance in a Dry Contact,” ASME J. Tribol., 127(1), pp. 230–237.
Meng, H. C. , and Ludema, K. C. , 1995, “ Wear Models and Predictive Equations: Their Form and Content,” Wear, 181–183(Part 2), pp. 443–457.
Archard, J. F. , 1953, “ Contact and Rubbing of Flat Surfaces,” J. Appl. Phys., 24(8), pp. 981–988.
D'Aunto, M. , 2003, “ Wear and Diffusive Processes,” Tribol. Int., 36(7), pp. 553–558.
Hu, Y. Z. , Li, N. , and Tonder, K. , 1991, “ A Dynamic System Model for Lubricated Sliding Wear and Running-In,” ASME J. Tribol., 113(3), pp. 499–505.
Goh, C. J. , Tang, L. C. , and Lim, S. C. , 1989, “ Reliability Modeling of Stochastic Wear-Out Failure,” Reliab. Eng. Syst. Saf., 25(4), pp. 303–314.
Jeng, Y. R. , Lin, Z. W. , and Shyu, S. H. , 2004, “ Changes of Surface Topography During Running-In Process,” ASME J. Tribol., 126(3), pp. 620–625.
Zhou, G. Y. , Leu, M. C. , and Blackmore, D. , 1993, “ Fractal Geometry Model for Wear Prediction,” Wear, 170(1), pp. 1–14.
Ge, S. , and Chen, G. , 1999, “ Fractal Prediction Models of Sliding Wear During the Running-In Process,” Wear, 231(2), pp. 249–255.
Bryant, M. D. , Khonsari, M. M. , and Ling, F. F. , 2008, “ On the Thermodynamics of Degradation,” Proc. R. Soc., Ser. A, 464(2096), pp. 2001–2014.
Amiri, M. , Khonsari, M. M. , and Brahmeshwarkar, S. , 2012, “ An Application of Dimensional Analysis to Entropy-Wear Relationship,” ASME J. Tribol., 134(1), p. 011604.
Wang, Z. , and Zhou, Q. , 2012, “ Applying a Population Growth Model to Simulate Wear of rough Surfaces During Running–In,” Wear, 294–295, pp. 356–363.
De Moerlooze, K. , Al-Bender, F. , and Brussel, H. , 2011, “ A Novel Energy-Based Generic Wear Model at the Asperity Level,” Wear, 270(11–12), pp. 760–770.
Busch-Vishniac, I. J. , 1999, Electromechanical Sensors and Actuators, Springer, Berlin, pp. 18–24.
Bhushan, B. , 2002, Introduction to Tribology, Wiley, Hoboken, NJ, p. 423.
Kumar, R. , Prakash, B. , and Sethuramiah, A. , 2002, “ A Systematic Methodology to Characterize the Running-In Wear and Steady-State Wear Processes,” Wear, 252(5–6), pp. 445–453.
Zhang, Z. , L., Zhang , and Mai, Y. W. , 1996, “ The Running-In Wear of as Steel/SiCp-Al,” Wear, 194(1–2), pp. 38–43.

## Figures

Fig. 3

Equivalent resistance of material properties and operating conditions

Fig. 2

Schematic representation of change of (a) wear rate (b) wear volume, with time

Fig. 1

Interaction between the asperities and the direction of velocity and forces

Fig. 4

Analogous electrical circuit for wear process

Fig. 5

Change of wear rate with time during running-in and steady-state

Fig. 6

Analogous characteristics of wear and capacitor discharge

Fig. 7

Comparison of experimental and predicted wear volume of steel sample using electrical analogy and Zhang et al. [18] model

Fig. 8

Comparison of experimental and predicted wear volume of aluminum composite pin using electrical analogy and Zhang et al. [18] model

## Errata

Some tools below are only available to our subscribers or users with an online account.

### Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related Proceedings Articles
Related eBook Content
Topic Collections