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Application of Continuum Damage Mechanics for Prediction of Wear with Provision for Sequential Speed Operation

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Abstract

An experimental procedure and a thermodynamic methodology are presented to evaluate adhesive wear for systems experiencing variable and sequential speed. Continuum damage mechanics (CDM) estimates the probability that an asperity forms a wear particle and uses this information to derive an expression for the wear coefficient. Experiments involve an extensive set of pin-on-disk tests with constant loads at a sequence of ascending, descending, and arbitrarily varying speeds. The applicability of the Miner’s rule that calculates the cumulative damage in cyclic fatigue with variable loading amplitudes and CDM method for determining wear coefficient in sequential speeds is investigated. The results show that the constant value of Miner’s rule in experiments with ascending velocity is less than in descending cases. It is also shown that the measured weight loss and wear coefficient results agree with those predicted via CDM. In cases in which single load or single speed is applied, Archard law—which states that the wear volume is proportional to the applied load and sliding distance and inversely proportional to the hardness of the material—can predict the wear volume with an error of less than 15%. In contrast, in situations where the tribo-system system experiences variable speeds, Archard’s law does not provide satisfactory results.

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Abbreviations

B l :

Degradation coefficient

C M :

Miner’s consta

C w :

Wear coefficient

D :

Damage

D cr. :

Critical damage

E :

Modulus of elasticity (undamaged)

E D :

Modulus of elasticity (damage)

E h :

Strain hardening exponent

F f :

Friction force

F n :

Normal force

K Ar :

Archard’s wear coefficient

M h :

Cyclic hardening modulus

N c :

Number of failure cycles

p m :

Material flow pressure

S fl :

Fatigue limit

S w :

Distance

v :

Sliding speed

V w :

Wear volume

W r :

Wear volume rate

∆εlNc·∆σlNc :

Initial plastic stress and strain in N_cth cycle

∆σmNc, ∆εmNc :

Final plastic stress and strain in N_cth cycle

∆εoNc· ∆σoNc, :

Threshold plastic stress and strain in N_cth cycle

μ:

Friction coefficient

υ:

Poisson’s ratio

σf :

Failure stress

σmax, σmin :

Maximum, minimum normal stress

σc :

Shear stress

6. References

  1. Ludema, K. C. and Ajayi, O. O., Friction, wear, lubrication: a textbook in tribology: CRC press, 2018.

  2. Archard, J.: Contact and Rubbing. J. Appl. Phys. 23, 18 (1953)

    Google Scholar 

  3. Miner, M. A., "Cumulative damage in fatigue," 1945.

  4. Miller, K.: An experimental linear cumulative-damage law. J. Strain Anal. 5, 177–184 (1970)

    Article  Google Scholar 

  5. Akbarzadeh, S., Khonsari, M.: On the applicability of miner’s rule to adhesive wear. Tribol. Lett. 63, 1–10 (2016)

    Article  Google Scholar 

  6. Lijesh, K., Khonsari, M.: On the modeling of adhesive wear with consideration of loading sequence. Tribol. Lett. 66, 1–11 (2018)

    Article  Google Scholar 

  7. Fereidouni, H., Akbarzadeh, S., Khonsari, M.: On the assessment of variable loading in adhesive wear. Tribol. Int. 129, 167–176 (2019)

    Article  Google Scholar 

  8. Ghatrehsamani, S., Akbarzadeh, S., Khonsari, M.M.: Application of continuum damage mechanics to predict wear in systems subjected to variable loading. Tribol. Lett. 69, 163 (2021)

    Article  Google Scholar 

  9. Kachanov, L.: Introduction to continuum damage mechanics. Springer, Berlin (1986)

    Book  Google Scholar 

  10. Bhattacharya, B., Ellingwood, B.: A new CDM-based approach to structural deterioration. Int. J. Solids Struct. 36, 1757–1779 (1999)

    Article  Google Scholar 

  11. Kragelsky, I., Kombalov, V.: Calculation of value of stable roughness after running-in (elastic contact). Wear 14, 137–140 (1969)

    Article  Google Scholar 

  12. Ghatrehsamani, S., Akbarzadeh, S., Khonsari, M.M.: Experimental and numerical study of the running-in wear coefficient during dry sliding contact. Surf. Topogr. Metrol. Prop. 9, 015009 (2021)

    Article  CAS  Google Scholar 

  13. Ghatrehsamani, S., Akbarzadeh, S., Khonsari, M.M.: Experimentally verified prediction of friction coefficient and wear rate during running-in dry contact. Tribol. Int. 170, 107508 (2022)

    Article  Google Scholar 

  14. Ghatrehsamani, S., Akbarzadeh, S.: Predicting the wear coefficient and friction coefficient in dry point contact using continuum damage mechanics. Proc. Inst. Mech. Eng. J. 233, 447–455 (2019)

    Article  Google Scholar 

  15. Beheshti, A., Khonsari, M.: A thermodynamic approach for prediction of wear coefficient under unlubricated sliding condition. Tribol. Lett. 38, 347–354 (2010)

    Article  CAS  Google Scholar 

  16. Masjedi, M., Khonsari, M.: On the effect of surface roughness in point-contact EHL: formulas for film thickness and asperity load. Tribol. Int. 82, 228–244 (2015)

    Article  Google Scholar 

  17. Masjedi, M., Khonsari, M.: Theoretical and experimental investigation of traction coefficient in line-contact EHL of rough surfaces. Tribol. Int. 70, 179–189 (2014)

    Article  Google Scholar 

  18. Masjedi, M., Khonsari, M.: Film thickness and asperity load formulas for line-contact elastohydrodynamic lubrication with provision for surface roughness. J. Tribol. 134(1), 011503 (2012)

    Article  Google Scholar 

  19. Akbarzadeh, S., Khonsari, M.: Prediction of steady state adhesive wear in spur gears using the EHL load sharing concept. J. Tribol. 131(2), 024503 (2009)

    Article  Google Scholar 

  20. Beheshti, A., Khonsari, M.M.: An engineering approach for the prediction of wear in mixed lubricated contacts. Wear 308, 121–131 (2013)

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    Soroosh Salehi, Sahar Ghatrehsamani & Saleh Akbarzadeh

  2. Department of Mechanical and Industrial Engineering, Louisiana State University, Baton Rouge, LA, 70803, USA

    M. M. Khonsari

Authors
  1. Soroosh Salehi
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  2. Sahar Ghatrehsamani
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  3. Saleh Akbarzadeh
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  4. M. M. Khonsari
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Correspondence to M. M. Khonsari.

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Salehi, S., Ghatrehsamani, S., Akbarzadeh, S. et al. Application of Continuum Damage Mechanics for Prediction of Wear with Provision for Sequential Speed Operation. Tribol Lett 70, 105 (2022). https://doi.org/10.1007/s11249-022-01645-9

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