Stress-Strain State Analysis of Layered Composite Materials with Localized Layer Breakage

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Research purpose is in establishment of dependencies for parameters of a stress-strain state of a layered composite material with an arbitrary but finite amount of layers and a local breakage in continuity of the outermost layer. Research methodology is in construction of a mathematical model of interaction of hard and soft layers considering given arbitrary amount of layers and with a damaged hard layer and analytical solution of the model using methods of mechanics of composite materials. A character of stress redistribution in layers of a composite material with a local breakage of the outermost layer is established. A breakage in continuity of a hard layer leads to distortion of cross-sections of a sample. The damaged layer has larger displacements than the other ones. The uniform distribution of external loads among the layers is disturbed. Disturbance of a stress-strain state is localized both along the sample and along its thickness. Damage to the outermost layer leads to an increase in the tensile load of the adjacent layer by more than 60 % of the average load on layers. The two layers closest to the damaged one are loaded with a force that exceeds their average total load by almost 80 %. The breakage of the middle layer leads to smaller disturbances. The nature of local stress disturbances also depends on the amount of layers in a sample. As the total amount of layers increases, the extreme forces occurring in a sample with a damaged layer decrease to almost constant values if the amount of layers is at least ten. Scientific novelty is in establishing the dependencies for stress-strain state indicators on structural parameters of a composite tractive element with a local breakage of the outermost layer. The linear formulation of the problem and the principle of superposition make it possible to use the obtained dependencies in a case of applying force to one layer and fixing others. The obtained solutions allow determining a stress-strain state of a sample of layered structure and create conditions for implementing justified solutions regarding the conditions and permissibility of using belts of layered structure with layers damaged during operation, thus ensuring the safety of their use and making the most of their technical resource.

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165-177

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December 2025

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[1] V.Ya. Prushak, Numerical assessment of joint durability for rubber-cable conveyor belts, BNTU Bulletin 1 (2008) 35–38.

Google Scholar

[2] M. Bajda, R. Błażej, M. Hardygóra, Impact of Selected Parameters on the Fatigue Strength of Splices on Multiply Textile Conveyor Belts, IOP Conference Series: Earth and Environmental Science 44 (2016) 052021.

DOI: 10.1088/1755-1315/44/5/052021

Google Scholar

[3] D. Marasová, Ľ. Ambriško, M. Andrejiová, A. Grinčová, Examination of the process of damaging the top covering layer of a conveyor belt applying the FEM, Measurement 112 (2017) 47–52.

DOI: 10.1016/j.measurement.2017.08.016

Google Scholar

[4] R. Blazej, L. Jurdziak, R. Burduk, A. Kirjanow, T. Kozlowski, Analysis of core failure distribution in steel cord belts on the cross-section International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management 17(13) (2017) 987–994.

DOI: 10.5593/sgem2017/13/S03.125

Google Scholar

[5] W. Song, W. Shang, X. Li, Finite element analysis of steel cord conveyor belt splice, ET Conference Publications 556 (2009).

DOI: 10.1049/cp.2009.1415

Google Scholar

[6] X.G. Li, X.Y. Long, H.Q. Jiang, H.B. Long, Finite element simulation and experimental verification of steel cord extraction of steel cord conveyor belt splice, IOP Conference Series: Materials Science and Engineering 369 (2018) 012025.

DOI: 10.1088/1757-899x/369/1/012025

Google Scholar

[7] G. Wheatley, S. Keipour, FEA of Conveyor Belt Splice Cord End Conditions, UPB Sci Bull Ser D Mech Eng 83 (2021) 205–216.

Google Scholar

[8] X. Li, X. Long, Z. Shen, C. Miao, Analysis of Strength Factors of Steel Cord Conveyor Belt Splices Based on the FEM, Advances in Materials Science and Engineering (2019) 1–9.

DOI: 10.1155/2019/6926413

Google Scholar

[9] S.M. Frankl, M. Pletz, A. Wondracek, C. Schuecker, Assessing Failure in Steel Cable-Reinforced Rubber Belts Using Multi-Scale FEM Modelling, Journal of Composites Science 6(2) (2022) 34.

DOI: 10.3390/jcs6020034

Google Scholar

[10] M. Bonneric, V. Aubin, D. Durville, Finite element simulation of a steel cable - rubber composite under bending loading: Influence of rubber penetration on the stress distribution in wires, International Journal of Solids and Structures 160 (2019) 158–167.

DOI: 10.1016/j.ijsolstr.2018.10.023

Google Scholar

[11] P. Heitzmann, T. Froböse, A. Wakatsuki, L. Overmeyer, Optimierung von Textil-Fördergurtverbindungen mittels Finite Elemente Methode (FEM), Logistics Journal : Proceedings, (2016).

Google Scholar

[12] M.A. Cruz Gómez, E.A. Gallardo-Hernández, M. Vite Torres, A. Peña Bautista, Rubber steel friction in contaminated contacts, Wear 302(1–2) (2013) 1421–1425.

DOI: 10.1016/j.wear.2013.01.087

Google Scholar

[13] J.S. Haddad, O. Denyshchenko, D. Kolosov, S. Bartashevskyi, V. Rastsvietaiev, O. Cherniaiev, Reducing Wear of the Mine Ropeways Components Basing Upon the Studies of Their Contact Interaction, Archives of Mining Sciences 66(4) (2021) 579–594.

DOI: 10.24425/ams.2021.139598

Google Scholar

[14] D. Romek, D. Ulbrich, J. Selech, J. Kowalczyk, R. Wlad, Assessment of Padding Elements Wear of Belt Conveyors Working in Combination of Rubber–Quartz–Metal Condition. Materials 14(15) (2021) 4323.

DOI: 10.3390/ma14154323

Google Scholar

[15] Y. Yao, B. Zhang, Influence of the elastic modulus of a conveyor belt on the power allocation of multi-drive conveyors. PLOS ONE 15(7) (2020) e0235768.

DOI: 10.1371/journal.pone.0235768

Google Scholar

[16] V. Kravets, V. Samusia, D. Kolosov, K. Bas, S. Onyshchenko, Discrete mathematical model of travelling wave of conveyor transport, E3S Web of Conferences 168 (2020) 00030.

DOI: 10.1051/e3sconf/202016800030

Google Scholar

[17] A. Kirjanów-Błażej, L. Jurdziak, R. Burduk, R. Błażej, Forecast of the remaining lifetime of steel cord conveyor belts based on regression methods in damage analysis identified by subsequent DiagBelt scans, Engineering Failure Analysis 100 (2019) 119–126.

DOI: 10.1016/j.engfailanal.2019.02.039

Google Scholar

[18] R. Blazej, L. Jurdziak, A. Kirjanow-Blazej, T. Kozlowski, Identification of damage development in the core of steel cord belts with the diagnostic system, Scientific Reports 11(1) (2021).

DOI: 10.1038/s41598-021-91538-z

Google Scholar

[19] Y. Pang, G. Lodewijks, A Novel Embedded Conductive Detection System for Intelligent Conveyor Belt Monitoring, IEEE International Conference on Service Operations and Logistics, and Informatics (2006) 803–808.

DOI: 10.1109/soli.2006.328958

Google Scholar

[20] A. Kirjanów-Błażej, R. Błażej, L. Jurdziak, T. Kozłowski, Core damage increase assessment in the conveyor belt with steel cords, Diagnostyka 18(3) (2017) 93–98.

DOI: 10.3390/min14020174

Google Scholar

[21] G. Fedorko, V. Molnár, P. Michalik, M. Dovica, T. Kelemenová, T. Tóth, Failure analysis of conveyor belt samples under tensile load, Journal of Industrial Textiles 48(8) (2018) 1364–1383.

DOI: 10.1177/1528083718763776

Google Scholar

[22] G. Fedorko, V. Molnár, Ž. Ferková, P. Peterka, J. Krešák, M. Tomašková, Possibilities of failure analysis for steel cord conveyor belts using knowledge obtained from non-destructive testing of steel ropes, Engineering Failure Analysis 67 (2016) 33–45.

DOI: 10.1016/j.engfailanal.2016.05.026

Google Scholar

[23] C. Webb, J. Sikorska, R.N. Khan, M. Hodkiewicz, Developing and evaluating predictive conveyor belt wear models, Data-Centric Engineering 1 (2020).

DOI: 10.1017/dce.2020.1

Google Scholar

[24] I. Belmas, P. Kogut, D. Kolosov, V. Samusia, S. Onyshchenko, Rigidity of elastic shell of rubber-cable belt during displacement of cables relatively to drum, E3S Web of Conferences 109 (2019) 00005.

DOI: 10.1051/e3sconf/201910900005

Google Scholar

[25] V.Yu. Volokhovskiy, V.P. Radin, M.B. Rudyak, Concentration of forces in cables and tractive capacity of rubber-cable conveyor belts with breakages, MEI Bulletin 5 (2010) 5-12.

Google Scholar

[26] S. Daria Zade, Numerical method of determining effective characteristics of unidirectional reinforced composites, Bulletin NTU "KhPI" 58 (2013) 71-77.

Google Scholar

[27] H.І. Tantsura, Flexible tractive elements – butt-joints of conveyor belts, DDTU (2010).

Google Scholar

[28] O.S. Pedchenko, Mathematical model of suspended conveyor belt on a conveyor with trace bending in vertical plane, GIAB 1 (2007) 322–324.

Google Scholar

[29] I. Belmas, D. Kolosov, S. Onyshchenko, O. Bilous, H. Tantsura, Influence of Nonlinear Shear Modulus Change of Elastomeric Shell of a Composite Tractive Element with a Damaged Structure on its Stress State, Inżynieria Mineralna 1(1) (2023) 147–154.

DOI: 10.29227/IM-2023-01-18

Google Scholar

[30] Zh.B. Levchenya, Increase of reliability of butt-joint connections of conveyor belts at mining enterprises, PhD dissertation (2004).

Google Scholar

[31] I.V. Belmas, D.L. Kolosov, S.V. Onyshchenko, Stress-strain state of rubber-cable tractive element of tubular shape, Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu 2 (2018) 60–69.

DOI: 10.29202/nvngu/2018-2/5

Google Scholar

[32] I.V. Bel'mas, Stress state of rubber-rope tapes during their random damages, Problemy Prochnosti i Nadezhnos'ti Mashin 6 (1993) 45–48.

Google Scholar

[33] L.V. Kolosov, I.V. Bel'mas, Use of electrical models for investigating composites, Mechanics of Composite Materials 17(1) (1981) 115–119.

DOI: 10.1007/bf00604895

Google Scholar

[34] R.V. Ishchenko, Increasing reliability of quick-wear parts for belt conveyors in air-salt environment : Ph.D. thesis (2013).

Google Scholar

[35] D. Kolosov, O. Bilous, H. Tantsura, S. Onyshchenko, Stress-Strain State of a Flat Tractive-Bearing Element of a Lifting and Transporting Machine at Operational Changes of its Parameters, Solid State Phenomena 277 (2018) 188–201.

DOI: 10.4028/www.scientific.net/ssp.277.188

Google Scholar

[36] M.R. Kardooni, M. Shishesaz, R. Mosalmani, Three-Dimensional Thermo-Mechanical Elastic Analysis of Functionally Graded Five Layers Composite Sandwich Plate on Winkler Foundations, Journal of Composites Science 6(12) (2022) 372.

DOI: 10.3390/jcs6120372

Google Scholar

[37] H.J. Jiang, T.B. Chen, Y.X. Ren, N.H. Gao, Analytical solutions of free vibration for rectangular thin plate and right-angle triangle plate on the Winkler elastic foundation based on the symplectic superposition method, Journal of Mechanics 39 (2023) 395–415.

DOI: 10.1093/jom/ufad032

Google Scholar

[38] İ. Çömez, Dynamic indentation of viscoelastic orthotropic layer supported by a Winkler–Pasternak foundation, Acta Mech 235 (2024) 2599–2610.

DOI: 10.1007/s00707-023-03848-0

Google Scholar

[39] V.V. Bolotin, Yu.N. Novichkov, Mechanics of multi-layered structures, Mashinostroenie, (1980).

Google Scholar