Abstract
Below a limiting value of tearing energy called the intrinsic strength or fatigue threshold (T0), cracks will not grow in rubber due to fatigue; hence, this material characteristic is important to understand from both fundamental and practical perspectives. We summarize key aspects of the fatigue threshold, including the Lake-Thomas molecular interpretation of T0 in terms of fracture of polymer network chains in crosslinked elastomers. The various testing approaches for quantifying T0 are also discussed, with a focus on the classic Lake-Yeoh cutting method which was recently revived by the introduction of a commercial testing instrument that applies this procedure, the Intrinsic Strength Analyser (ISA). A validation of the cutting method is also given by demonstrating that a 2-h test on the ISA yields a value of T0 that is essentially identical to the T0 from near-threshold fatigue crack growth (FCG) measurements that require 7.5 months of continuous testing. Compound formulation effects – polymer type, crosslink density, type and amount of reinforcing fillers, and addition of oils/plasticizers – are examined based on the limited published research in this area and our new results. At the end, some insights are offered into using the fatigue threshold to develop highly durable rubber products.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bhowmick AK (1988) Threshold fracture of elastomers. J Macromol Sci Part C Polym Rev 28:339–370
Mars WV, Fatemi A (2004) Factors that affect the fatigue life of rubber: a literature survey. Rubber Chem Technol 77:391–412
Harbour RJ, Fatemi A, Mars WV (2007) The effect of a dwell period on fatigue crack growth rates in filled SBR and NR. Rubber Chem Technol 80:838–853
Stadlbauer F, Koch T, Archodoulaki V-M, Planitzer F, Fidi W, Holzner A (2013) Influence of experimental parameters on fatigue crack growth and heat build-up in rubber. Materials 6:5502–5516
Stoček R, Horst T, Reincke K (2016) Tearing energy as fracture mechanical quantity for elastomers. Adv Polym Sci 275:361–398
Lake GJ, Lindley PB (1965) The mechanical fatigue limit for rubber. J Appl Polym Sci 9:1233–1251
Lake GJ, Thomas AG (1967) The strength of highly elastic materials. Proc R Soc Lond A 300:108–119
Sakulkaew K, Thomas AG, Busfield JJC (2013) The effect of temperature on the tearing of rubber. Polym Test 32:86–93
Tsunoda K, Busfield JJC, Davies CKL, Thomas AG (2000) Effect of materials variables on the tear behaviour of a non-crystallising elastomer. J Mater Sci 35:5187–5198
Bhattacharyya S, Lodha V, Dasgupta S, Mukhopadhyay R, Guha A, Sarkar P, Saha T, Bhowmick AK (2019) Influence of highly dispersible silica filler on the physical properties, tearing energy, and abrasion resistance of tire tread compound. J Appl Polym Sci 136:47560
Andrews EH (1963) Rupture propagation in hysteresial materials: stress at a notch. J Mech Phys Solids 11:231–242
Stoček R (2021) Some revision of fatigue crack growth characteristics of rubber. In: Heinrich G, Stoček R, Kipscholl R (eds) Fatigue crack growth in rubber materials: experiments and modelling. Springer, Berlin
Zhang E, Bai R, Morelle XP, Suo Z (2018) Fatigue fracture of nearly elastic hydrogels. Soft Matter 14:3563–3571
Legorju-Jago K, Bathias C (2002) Fatigue initiation and propagation in natural and synthetic rubbers. Int J Fatigue 24:85–92
Gent AN, Tobias RH (1982) Threshold tear strength of elastomers. J Polym Sci Polym Phys Ed 20:2051–2058
Bhowmick AK, Neogi C, Basu SP (1990) Threshold tear strength of carbon black filled rubber Vulcanizates. J Appl Polym Sci 41:917–928
Mazich KA, Samus MA, Smith CA, Rossi G (1991) Threshold fracture of lightly crosslinked networks. Macromolecules 24:2766–2769
Lake GJ, Yeoh OH (1978) Measurement of rubber cutting resistance in the absence of friction. Int J Fract 14:509–526
Robertson CG, Stoček R, Kipscholl C, Mars WV (2019) Characterizing the intrinsic strength (fatigue threshold) of natural rubber/butadiene rubber blends. Tire Sci Technol 47:292–307
Mars WV, Robertson CG, Stoček R, Kipscholl C (2019) Why cutting strength is an indicator of fatigue threshold. In: Huneau B, Le Cam J-B, Marco Y, Verron E (eds) Constitutive models for rubber XI. CRC Press, Taylor & Francis Group, London, pp 351–356
Robertson CG, Suter JD, Bauman MA, Stoček R, Mars WV (2020) Finite element modeling and critical plane analysis of a cut-and-chip experiment for rubber. Tire Sci Technol. https://doi.org/10.2346/tire.20.190221
Robertson CG, Stoček R, Kipscholl R, Mars WV (2019) Characterizing durability of rubber for tires. Tire Technol Int Ann Rev:78–82
Robertson, C.G., Goossens, J.R., Mars, W.V. (2019) Using the laboratory cutting method for predicting long-term durability of elastomers. In: Paper D15, presented at the fall 196th technical meeting of the rubber division, ACS, Cleveland, OH, Oct 10–12, 2019
Isitman N, Stoček R, Robertson CG (2020) Influences of compounding attributes on intrinsic strength and tearing behavior of model tread rubber compounds. In: Paper scheduled to be presented at the 197th technical meeting of the rubber division, ACS, Independence, OH, April 28–30, 2020 (Presentation slides made available online due to meeting cancellation for COVID-19 precaution)
Hosseini SM, Razzaghi-Kashani M (2018) Catalytic and networking effects of carbon black on the kinetics and conversion of sulfur vulcanization in styrene butadiene rubber. Soft Matter 14:9194–9208
Blokh GA, Melamed CL (1961) The interaction of carbon black with sulfur, MBT and TMTD in vulcanization. Rubber Chem Technol 34:588–599
Bhowmick AK, Gent AN, Pulford CTR (1983) Tear strength of elastomers under threshold conditions. Rubber Chem Technol 56:226–232
Gent AN, Lai S-M, Nah C, Wang C (1994) Viscoelastic effects in cutting and tearing of rubber. Rubber Chem Technol 67:610–618
Rader CP (2001) Chapter 7. Vulcanization of rubber – A. sulfur and non-peroxides. In: Baranwal KC, Stephens HL (eds) Basic elastomer technology. The rubber division. ACS, Akron, pp 165–190
Klüppel M (2009) The role of filler networking in fatigue crack propagation of elastomers under high-severity conditions. Macromol Mater Eng 294(2):130–140
Vaikuntam SR, Bhagavatheswaran ES, Xiang F, Wießner S, Heinrich G, Das A, Stöckelhuber KW (2020) Friction, abrasion and crack growth behavior of in-situ and ex-situ silica filled rubber composites. Materials 13:270
Sridharan H, Guha A, Bhattacharyya S, Bhowmick AK, Mukhopadhyay R (2019) Effect of silica loading and coupling agent on wear and fatigue properties of a tread compound. Rubber Chem Technol 92:326–349
Rooj S, Das A, Morozov IA, Stöckelhuber KW, Stoček R, Heinrich G (2013) Influence of “expanded clay” on the microstructure and fatigue crack growth behavior of carbon black filled NR composites. Compos Sci Technol 76:61–68
Heinrich G, Vilgis TA (1993) Contribution of entanglements to the mechanical properties of carbon black-filled polymer networks. Macromolecules 26:1109–1119
Robertson CG, Wang X (2004) Nanoscale cooperative length of local segmental motion in polybutadiene. Macromolecules 37:4266–4270
Fetters LJ, Hadjichristidis N, Lindner JS, Mays JW (1994) Molecular weight dependence of hydrodynamic and thermodynamic properties for well-defined linear polymers in solution. J Phys Chem Ref Data 23:619–640
Hess WM, McDonald GC (1983) Improved particle size measurements on pigments for rubber. Rubber Chem Technol 56:892–917
Kraus G (1963) Swelling of filler-reinforced vulcanizates. J Appl Polym Sci 7:861–871
Busfield JJC, Thomas AG, Yamaguchi K (2004) Electrical and mechanical behavior of filled elastomers 2: the effect of swelling and temperature. J Polym Sci B Polym Phys 42:2161–2167
Elhaouzi F, Mdarhri A, Brosseau C, El Aboudi I, Almaggoussi A (2019) Effects of swelling on the effective mechanical and electrical properties of a carbon black-filled polymer. Polym Bull 76:2765–2776
Arai K, Ferry JD (1986) Temperature-dependence of viscoelastic properties of carbon-black-filled rubbers in small shearing deformations. Rubber Chem Technol 59:592–604
Mujtaba A, Keller M, Ilisch S, Radusch HJ, Beiner M, Thurn-Albrecht T, Saalwächter K (2014) Detection of surface-immobilized components and their role in viscoelastic reinforcement of rubber–silica Nanocomposites. ACS Macro Lett 3:481–485
Sternstein SS, Amanuel S, Shofner ML (2010) Reinforcement mechanisms in Nanofilled polymer melts and elastomers. Rubber Chem Technol 83:181–198
Warasitthinon N, Genix A-C, Sztucki M, Oberdisse J, Robertson CG (2019) The Payne effect: primarily polymer-related or filler-related phenomenon? Rubber Chem Technol 92:599–611
Barbash KP, Mars WV (2016) Critical plane analysis of rubber bushing durability under road loads. SAE technical paper, no. 2016-01-0393
Mars WV, Wei Y, Hao W, Bauman MA (2019) Computing Tire component durability via critical plane analysis. Tire Sci Technol 47:31–54
Mars WV (2021) Critical plane analysis of soft materials. In: Heinrich G, Stoček R, Kipscholl R (eds) Fatigue crack growth in rubber materials: experiments and modelling. Springer, Berlin
Mars WV, Suter JD (2019) Breaking the computational barrier to simulating full road load signals in fatigue. In: Paper C08, presented at the fall 196th technical meeting of the rubber division, ACS, Cleveland, OH, Oct. 10–12, 2019
Aït-Bachir M, Mars WV, Verron E (2012) Energy release rate of small cracks in hyperelastic materials. Int J Non-Linear Mech 47:22–29
Mars WV (2002) Cracking energy density as a predictor of fatigue life under multiaxial conditions. Rubber Chem Technol 75:1–17
Wunde M, Klüppel M (2021) The role of phase morphology and energy dissipation around the crack tip in fatigue crack propagation of filler reinforced elastomer blends. In: Heinrich G, Stoček R, Kipscholl R (eds) Fatigue crack growth in rubber materials: experiments and modelling. Springer, Berlin
Windslow RJ, Hohenberger TW, Busfield JJC (2021) Determination of the loading mode dependence of the proportionality parameter for the tearing energy of embedded flaws in elastomers under multiaxial deformations. In: Heinrich G, Stoček R, Kipscholl R (eds) Fatigue crack growth in rubber materials: experiments and modelling. Springer, Berlin
Huneau B, Masquelier I, Marco Y, Le Saux V, Noizet S, Schiel C, Charrier P (2016) Fatigue crack initiation in a carbon black-filled natural rubber. Rubber Chem Technol 89:126–141
Ludwig M, Alshuth T, El Yaagoubi M, Juhre D (2015) Lifetime prediction of elastomers based on statistical occurrence of material defects. In: Marvalová B, Petríková I (eds) Constitutive models for rubber IX. CRC Press, Taylor & Francis Group, London, pp 445–448
Robertson CG, Tunnicliffe LB, Maciag L, Bauman MA, Miller K, Herd CR, Mars WV (2020) Characterizing distributions of tensile strength and crack precursor size to evaluate filler dispersion effects and reliability of rubber. Polymers 12:203
Ducrot E, Chen Y, Bulters M, Sijbesma RP, Creton C (2014) Toughening elastomers with sacrificial bonds and watching them break. Science 344:186–189
Xiang C, Wang Z, Yang C, Yao X, Wang Y, Suo Z (2020) Stretchable and fatigue-resistant materials. Mater Today 34:7–16
Das A, Sallat A, Böhme F, Suckow M, Basu D, Wießner S, Stöckelhuber KW, Voit B, Heinrich G (2015) Ionic modification turns commercial rubber into a self-healing material. ACS Appl Mater Interfaces 7:20623–20630
Zhang W, Liu X, Wang J, Tang J, Hu J, Lu T, Suo Z (2018) Fatigue of double-network hydrogels. Eng Fract Mech 187:74–93
Acknowledgments
This research was supported in part by the Ministry of Education, Youth and Sports of the Czech Republic – DKRVO (RP/CPS/2020/004). We thank Joshua R. Goossens from DriV Inc. (Milan, OH) and Dr. Nihat Isitman from Goodyear Tire & Rubber Company (Akron, OH) for collaborating in the ISA investigations of compounding effects that are described in previous works [23, 24] and replotted in this chapter.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Robertson, C.G., Stoček, R., Mars, W.V. (2020). The Fatigue Threshold of Rubber and Its Characterization Using the Cutting Method. In: Heinrich, G., Kipscholl, R., Stoček, R. (eds) Fatigue Crack Growth in Rubber Materials. Advances in Polymer Science, vol 286. Springer, Cham. https://doi.org/10.1007/12_2020_71
Download citation
DOI: https://doi.org/10.1007/12_2020_71
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-68919-3
Online ISBN: 978-3-030-68920-9
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)