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Durability of Thermoviscoelastic Bodies Under Long-Term Cyclic Loading

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International Applied Mechanics Aims and scope

An energy failure criterion for thermoviscoelastic structural members subject to abrasive wear and dissipative heating is proposed. The criterion is used to develop an algorithm to calculate the durability of such members under long-term cyclic loading. A simple formula of the number of cycles to failure is obtained. Experimental results on destruction of a rubber liner are given. Good agreement between the theoretical and experimental results is observed.

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References

  1. A. F. Bulat, V. I. Dyrda, V. G. Karnaukhov, E. L. Zvyagil’skii, and A. S. Kobets, Thermomechanical Theory of Viscoelastic Bodies, Vol. 3 of the four-volume series Applied Mechanics of Hereditary Elastic Materials [in Russian], Naukova Dumka, Kyiv (2013).

  2. A. F. Bulat, V. I. Dyrda, V. G. Karnaukhov, E. L. Zvyagil’skii, and A. S. Kobets, Forced Vibrations and Self-Heating of Inelastic Bodies, Vol. 4 of the four-volume series Applied Mechanics of Hereditary Elastic Materials [in Russian], Naukova Dumka, Kyiv (2014).

  3. V. A. Kalashnikov, L. H. Golovko, V. I. Dyrda, A. V. Stoiko, and I. V. Khmel’, “Rubber lining of ball mills in the new resource- and energy-saving solid ore milling technology,” Chern. Metallurg., No. 1, 70–74 (2016).

  4. K. A. Grosch, “Viscoelastic properties and the friction of solids. Friction of polymers: Influence of speed and temperature,” Nature, 197, 856–863 (1963).

    Article  ADS  Google Scholar 

  5. K. A. Grosch and A. Schallamach, “Relation between abrasion and strength of rubber,” Rubber Chem. Technol., 39, 287–305 (1966).

    Article  Google Scholar 

  6. S. A. Kaloerov and A. A. Koshkin, “Solving the problem of linear viscoelasticity for piecewise-homogeneous anisotropic plate,” Int. Appl. Mech., 53, No. 6, 688–703 (2017).

    Article  ADS  MathSciNet  Google Scholar 

  7. V. G. Karnaukhov, I. F. Kirichok, and V. I. Kozlov, “Termomechanics of inelastic thin-walled structural members with piezoelectric sensors and actuators under harmonic loading (Review),” Int. App. Mech., 53, No. 1, 6–59 (2017).

    Article  Google Scholar 

  8. I. F. Kirichok, “Resonant vibrations and vibrational heating of physically nonlinear viscoelastic shells and their damping using piezoelectric sensor and actuator,” Int. Appl. Mech., 53, No. 5, 556–561 (2017).

    Article  ADS  MathSciNet  Google Scholar 

  9. I. F. Kirichok and O. A. Chernyushok, “Forced vibration and self-heating of a viscoelastic beam with piezoelectric sensor and actuator with account of shear strain,” Int. Appl. Mech., 54, No. 5, 568–576 (2018).

    Article  ADS  MathSciNet  Google Scholar 

  10. A. Schallamach, “A theory of dynamic rubber friction,” Wear, 6, 375–385 (1963).

    Article  Google Scholar 

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Correspondence to A. F. Bulat.

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Translated from Prikladnaya Mekhanika, Vol. 55, No. 5, pp. 47–56, September–October 2019.

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Bulat, A.F., Dyrda, V.I. & Karnaukhov, V.G. Durability of Thermoviscoelastic Bodies Under Long-Term Cyclic Loading. Int Appl Mech 55, 495–503 (2019). https://doi.org/10.1007/s10778-019-00971-1

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  • DOI: https://doi.org/10.1007/s10778-019-00971-1

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