Elastic Properties of Steel-Cord Rubber Conveyor Belt

Abstract

Reinforced with steel-cord rubber conveyor belt (SCB), i.e. a unidirectional composite material (CM) with some of the fundamental mechanical properties values of its reinforcement and matrix differing by a factor of ten thousand, is a key infrastructure component of overland minerals transportation industry. Critically, to date no investigative work has been performed on the mechanical behaviour of SCBs subjected to the extreme dynamic-loading conditions of tropical cyclones, hurricanes, and tornados. Determination of a full suite of elastic characteristics of the belt will enable the study of the mechanical behaviour of SCB subjected to these natural hazardous wind events. We investigate tensile and shear moduli of a commercial SCB with the use of modified standard practices and innovative approaches, including tensile testing and methods of torsion of long straight bar and of square plate. We propose a novel design of mechanical tensometer which allows tensile testing of significantly shorter test specimens as compared with the test specimen dimensions per current standards. Analytically, tensile modulus is determined using the rule of mixtures and shear moduli are calculated based on the variational principles. We find that the tensile modulus of SCB can be determined analytically with high confidence. However, analytically derived in-plane shear moduli values can only be considered as a first approximation and need to be verified experimentally. The results of our work improve understanding of stress-strain state and thus can help predict the mechanical behavior of the SCBs under the irregular and extreme dynamic loading conditions of natural hazardous wind events.

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Reasonable requests for raw experimental data will be considered.

References

  1. 1.

    Eberline DK, Wipf TJ, Greimann LF (1992) Finite element idealization of nonlinear structural response to tornado wind loads. Fin Elem Anal Des 10:59–74. https://doi.org/10.1016/0168-874X(91)90028-W

    Article  Google Scholar 

  2. 2.

    Harper BA (2002) Tropical cyclone parameter estimation in the Australian region: wind-pressure relationships and related issues for engineering planning and design. Systems engineering Australia report no. J0106-PR003E, Perth. https://doi.org/10.13140/RG.2.2.13057.04961

    Google Scholar 

  3. 3.

    Dare RA, Davidson NE (2004) Characteristics of tropical cyclones in the Australian region. Monthly Weather Review, American Meteorological Society 132:3049–3065. https://doi.org/10.1175/MWR2834.1

    Article  Google Scholar 

  4. 4.

    Elsner JB, Kossin JP, Jagger TH (2008) The increasing intensity of the strongest tropical cyclones. Nat 455:92–95. https://doi.org/10.1038/nature07234

    CAS  Article  Google Scholar 

  5. 5.

    Harper BA (2016) Mason LB (2016) A tropical cyclone wind event data set for Australia. In: Proceedings of 18th Australasian wind engineering society workshop. McLaren Vale, South Australia, pp 1–6

    Google Scholar 

  6. 6.

    BTE (Australian Bureau of Transport Economics) (2001) Report 103. Economic costs of natural disasters in Australia. Bureau of Transport Economics, Canberra

    Google Scholar 

  7. 7.

    Grincova A, Marasova D (2014) Experimental research and mathematical modelling as an effective tool of assessing failure of conveyor belts. Maint Reliab 16(2):229–235

    Google Scholar 

  8. 8.

    Komander H, Bajda M, Komander G, Paszkowska G (2014) Effect of strength parameters and the structure of steel cord conveyor belts on belt puncture resistance. Appl Mech Mater 683:119–124. https://doi.org/10.4028/www.scientific.net/AMM.683.119

    Article  Google Scholar 

  9. 9.

    Langebrake F, Klein J, Gronau O (1998) Non-destructive testing of steel-cord conveyor belts. Bulk Sol Handl 18(4):565–570

    CAS  Google Scholar 

  10. 10.

    Taraba V, Marasová D, Kubala D, Semjon V (2014) Mathematical modelling of the process of conveyor belt damage caused by the impact stress. Appl Mech Mater 683:153–158. https://doi.org/10.4028/www.scientific.net/AMM.683.153

    Article  Google Scholar 

  11. 11.

    Yardley ED, Stace LR (2008) Belt conveying of minerals. Taylor & Francis, United States, Bosa Roca

    Google Scholar 

  12. 12.

    Brown R (2006) Physical testing of rubber, 4edn. Springer Science, New York

    Google Scholar 

  13. 13.

    Hepburn C (1997) Rubber Compounding Ingredients, part II - processing, bonding, fire retardants. Rapra Review Reports 9(1) Rapra technology

  14. 14.

    Autar K (2005) Mechanics of composite materials, 2edn. CRC Press, Kaw

    Google Scholar 

  15. 15.

    Voigt W (1889) Ueber die beziehung zwischen den beiden elasticitätsconstanten isotroper körper. Ann Phys 274:573–587. https://doi.org/10.1002/andp.18892741206

    Article  Google Scholar 

  16. 16.

    Reuss A (1929) Berechnung der fließgrenze von mischkristallen auf grund der plastizitätsbedingung für einkristalle. Z Angew Math Mech 9:49–58. https://doi.org/10.1002/zamm.19290090104

    CAS  Article  Google Scholar 

  17. 17.

    MIL-HDBK-17-3F (2002) Composite materials handbook, v3. US Dept. of Defence

    Google Scholar 

  18. 18.

    Daniel I, Ishai O (2006) Engineering mechanics of composite materials. Oxford Uni Press, New York

    Google Scholar 

  19. 19.

    Tong G, Liu TF (2013) Finite element analysis of woven fabric laminates structural strength. Adv Mater Res 785-786:199–203. https://doi.org/10.4028/www.scientific.net/AMR.785-786.199

    Article  Google Scholar 

  20. 20.

    Hill RJ (1965) A self-consistent mechanics of composite materials. J Mech Phys Solids 13:213–225. https://doi.org/10.1016/0022-5096(65)90010-4

    Article  Google Scholar 

  21. 21.

    Vasiliev VV, Morozov EV (2013) Advanced mechanics of composite materials and structural elements, 3edn. Elsevier Science. https://doi.org/10.1016/b978-0-08-045372-9.x5000-3

  22. 22.

    Hashin Z, Shtrikman S (1962) On some variational principles in anisotropic and nonhomogeneous elasticity. J Mech Phys Solids 4:335–342. https://doi.org/10.1016/0022-5096(62)90004-2

    Article  Google Scholar 

  23. 23.

    Gaidachuk VE, Kondratiev AV, Chesnokov AV (2017) Changes in the thermal and dimensional stability of the structure of a polymer composite after carbonization. Mech Comp Mats 52:799–806. https://doi.org/10.1007/s11029-017-9631-6

    CAS  Article  Google Scholar 

  24. 24.

    Ohsaki M, Miyamura T, Kohiyama M, Yamashita T, Yamamoto M, Nakamura N (2013) High-precision finite-element analysis of rubber bearing for base-isolation of building structures. In: Papadrakakis M, Lagaros ND, Plevris V (eds) Proceedings of COMPDYN 2013, Kos Island, 2013, pp 2422–2430. https://doi.org/10.7712/120113.4675.C1205

    Google Scholar 

  25. 25.

    Zhao JH, Zhu DB, Zhang RB (2013) Research on the nonlinear finite element analysis of rubber CVJ boot. Appl Mech Mat 421:177–180. https://doi.org/10.4028/www.scientific.net/AMM.421.177

    Article  Google Scholar 

  26. 26.

    Chen JZ, Huang MX, Wang XR (2015) Non-linear finite element analysis on rubber o-sealing ring of SRM. Adv Mater Res 1095:490–494. https://doi.org/10.4028/www.scientific.net/AMR.1095.490

    Article  Google Scholar 

  27. 27.

    Shah V (2007) Handbook of plastics testing and failure analysis, 3edn. Consultek Brea, California. https://doi.org/10.1002/0470100427

  28. 28.

    Klat D, Karimi-Varzaneh HA, Lacayo-Pineda J (2018) Phase morphology of NR/SBR blends: effect of curing temperature and curing time. Polymers 10:510–524. https://doi.org/10.3390/polym10050510

    CAS  Article  Google Scholar 

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Funding

This research did not receive any funding from any public, commercial, or not-for-profit sectors.

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Vladimir Golovanevskiy: Conceptualization, Methodology, Validation, Writing – Original draft preparation, Writing – Reviewing and Editing, Supervision. Andrii Kondratiev: Conceptualization, Methodology, Formal analysis, Writing – Original draft preparation.

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Correspondence to V. Golovanevskiy.

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On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Golovanevskiy, V., Kondratiev, A. Elastic Properties of Steel-Cord Rubber Conveyor Belt. Exp Tech (2021). https://doi.org/10.1007/s40799-021-00439-3

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Keywords

  • Tensile and shear moduli
  • Experimental techniques
  • Experimental and analytical mechanics
  • Steel-cord rubber conveyor belt
  • Irregular and extreme dynamic loading