Modeling of structural damage evolution in filled elastomers with regard for interfacial interaction

Authors

  • Aleksandr Konstantinovich Sokolov Institute of Continuous Media Mechanics UB RAS
  • Oleg Konstantinovich Garishin Institute of Continuous Media Mechanics UB RAS
  • Aleksandr L’vovich Svistkov Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2019.12.4.32

Keywords:

elastomer, dispersed filler, structural damage, fracture criteria, interfacial microlayers, microstrands, computer modeling

Abstract

Computer modeling of internal damage evolution in elastomeric composites with high structural phase heterogeneity (hard dispersed filler and soft elastomeric matrix) was carried out. The concentration of particles was such that their mutual influence significantly affected the strength properties of the material. Dispersed inclusions were considered absolutely rigid and durable. Only a finite deformable incompressible matrix could be damaged, the mechanical properties of which were set using the neo Hookean elastic potential. In this case, such features of the composite structure were taken into account as a high stress concentration in the gaps between closely located inclusions, the presence of elastomeric layers with increased stiffness on the surface of filler particles, interphase contact conditions (full adhesion or slippage at "inclusion-matrix" boundaries) and the possibility of anisotropic hardening of the elastomer during uniaxial stretching (due to the reorientation of molecular chains in the direction of elongation). The last factor allowed us to theoretically study the mechanism of high-strength micro-strand formation in the spaces between adjacent particles. The appearance of such formations in filled elastomers was observed in numerous experiments, which is now a proven fact. To describe it, a new “anisotropic” fracture criterion was developed since the use of generally accepted conventional strength criteria in this case does not allow simulating this phenomenon. The calculations showed that with this new approach local matrix discontinuities occur not in the gap between the particles (in the places of highest stress concentration) but at a certain distance, forming a “hollow ring” around it, i.e. micro-strand. Thus, the “link” between neighbor inclusions is not violated, and the material at the macro level retains its carrying capacity. This phenomenon may be one possible explanation for hardening of the elastomer when hard dispersed filler is dispersed in it.

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Supporting Agencies
Работа выполнена при финансовой поддержке РФФИ (проект № 19-08-00725_а).

References

Mark J.E., Erman B., Roland M. The Science and Technology of Rubber (Fourth Edition). Elseiver, 2013. 816 p. https://doi.org/10.1016/C2011-0-05820-9">https://doi.org/10.1016/C2011-0-05820-9

Jovanović V., Smaržija-Jovanović S., Budinski-Simendić J., Marković G. Marinović-Cincović M. Composites based on carbon black reinforced NBR/EPDM rubber blends. Compos. B Eng., 2013, vol. 45, pp. 333-340. https://doi.org/10.1016/j.compositesb.2012.05.020">https://doi.org/10.1016/j.compositesb.2012.05.020

Salaeh S, Nakason C. Influence of modified natural rubber and structure of carbon black on properties of natural rubber compounds. Polymer Compos., 2012, vol. 33, pp. 489-500. https://doi.org/10.1002/pc.22169">https://doi.org/10.1002/pc.22169

Shakun A., Vuorinen J., Hoikanen M., Poikelispää M., Das A. Hard nanodiamonds in soft rubbers: Past, present and future – A review. Compos. Part A. Appl. S., 2014, vol. 64, pp. 49-69. https://doi.org/10.1016/j.compositesa.2014.04.014">https://doi.org/10.1016/j.compositesa.2014.04.014

Le H.H., Pham T., Henning S., Klehm J., Wießner S., S. Stöckelhuber S., Das A., Hoang X.T., Do Q.K., Wu M., Vennemann N., Heinrich G., Radusch H.-J. Formation and stability of carbon nanotube network in natural rubber: Effect of non-rubber components. Polymer, 2015, vol. 73, pp. 111-121. https://doi.org/10.1016/j.polymer.2015.07.044">https://doi.org/10.1016/j.polymer.2015.07.044

Lu Y., Liu J., Hou G., Ma J., Wang W., Wei F., Zhang L. From nano to giant? Designing carbon nanotubes for rubber reinforcement and their applications for high performance tires. Compos. Sci. Tech., 2016, vol. 137, pp. 94-101. https://doi.org/10.1016/j.compscitech.2016.10.020">https://doi.org/10.1016/j.compscitech.2016.10.020

Mokhireva K.A., Svistkov A.L., Solod'ko V.N., Komar L.A., Stöckelhuber K.W. Experimental analysis of the effect of carbon nanoparticles with different geometry on the appearance of anisotropy of mechanical properties in elastomeric composites. Polymer Testing, 2017, vol. 59, pp. 46-54. https://doi.org/10.1016/j.polymertesting.2017.01.007">https://doi.org/10.1016/j.polymertesting.2017.01.007

Liu H., Bai H., Bai D., Liu Z., Zhang Q., Fu Q. Design of high-performance poly(L-lactide)/elastomer blends through anchoring carbon nanotubes at the interface with the aid of stereo-complex crystallization. Polymer, 2017, vol. 108, pp. 38‑49. https://doi.org/10.1016/j.polymer.2016.11.034">https://doi.org/10.1016/j.polymer.2016.11.034

Garishin O.K. Structural mechanical model of a grain composite with a damageable rubbery matrix. Polymer Science. Ser. A, 2002, vol. 44, no. 4, pp. 417-423.

Garishin О.K., Moshev V.V. Damage model of elastic rubber particulate composites. Theor. Appl. Fract. Mech., 2002, vol. 38, pp. 63-69. https://doi.org/10.1016/S0167-8442(02)00081-2">https://doi.org/10.1016/S0167-8442(02)00081-2

Garishin O.K., Moshev V.V. Structural rearrangement in dispersion-filled composites: Influence on mechanical properties. Polymer Science. Ser. A, 2005, vol. 47, no. 4, pp. 403-408.

Reese S. A micromechanically motivated material model for the thermo-viscoelastic material behaviour of rubber-like polymers. Int. J. Plast., 2003, vol. 19, pp. 909-940. https://doi.org/10.1016/S0749-6419(02)00086-4">https://doi.org/10.1016/S0749-6419(02)00086-4

Österlöf R., Wentzel H., Kari L. An efficient method for obtaining the hyperelastic properties of filled elastomers in finite strain applications. Polymer Testing, 2015, vol. 41, pp. 44-54. https://doi.org/10.1016/j.polymertesting.2014.10.008">https://doi.org/10.1016/j.polymertesting.2014.10.008

Ivaneiko I., Toshchevikov V., Saphiannikova M., Stöckelhuber K.W., Petry F., Westermann S., Heinrich G. Modeling of dynamic-mechanical behavior of reinforced elastomers using a multiscale approach. Polymer, 2016, vol. 82, pp. 356-365. https://doi.org/10.1016/j.polymer.2015.11.039">https://doi.org/10.1016/j.polymer.2015.11.039

Raghunath R., Juhre D., Klüppel M. A physically motivated model for filled elastomers including strain rate and amplitude dependency in finite viscoelasticity. Int. J. Plast., 2016, vol. 78, pp. 223-241. https://doi.org/10.1016/j.ijplas.2015.11.005">https://doi.org/10.1016/j.ijplas.2015.11.005

Plagge J., Klüppel M. A physically based model of stress softening and hysteresis of filled rubber including rate- and temperature dependency. Int. J. Plast., 2017, vol. 89, pp. 173-196. https://doi.org/10.1016/j.ijplas.2016.11.010">https://doi.org/10.1016/j.ijplas.2016.11.010

Erofeyev V.I., Pavlov I.S. Strukturnoye modelirovaniye metamaterialov [Structural modeling of metamaterials]. N.Novgorod: IPF RAN, 2019. 196 p.

Mullins L. Effect of stretching in the properties of rubber. Rubber Chem. Tech., 1948, vol. 21, no. 2, pp. 281-300. https://doi.org/10.5254/1.3546914">https://doi.org/10.5254/1.3546914

Mullins L. Engineering with rubber. Rubber Chem. Tech., 1986, vol. 59, no. 3, pp. 69-83. https://doi.org/10.5254/1.3538214">https://doi.org/10.5254/1.3538214

Pechkovskaya K.A. Sazha kak usilitel’ kauchuka [Carbon black as a rubber amplifier]. M.: Khimiya, 1968. 215 p.

Kraus G. Reinforcement of elastomers by carbon black. Rubber Chem. Tech., 1978, vol. 51, no. 2, pp. 297-321. https://doi.org/10.5254/1.3545836">https://doi.org/10.5254/1.3545836

Fetterman M.Q. The unique properties of precipitated silica in the design of high performance rubber. Elastomerics, 1984, vol. 116, no. 9, pp. 18-31.

Shadrin V.V. Issledovaniye prochnosti elastomernykh volokon v zavisimosti ot ikh diametra [Investigation of strength of elastomeric fibers, depending on their diameter]. MKMK – Mechanics of composite materials and structures, 2003, vol. 9, no. 2, pp. 198-204.

Leonov A.I. The effect of surface tension on stretching of very thin highly elastic filaments. J. Rheol., 1990, vol. 34, pp. 155-167. https://doi.org/10.1122/1.550117">https://doi.org/10.1122/1.550117

Garishin O.K., Komar L.A. Prognozirovaniye prochnosti elastomernykh zernistykh kompozitov v zavisimosti ot razmerov chastits napolnitelya [Prediction strength elastomeric granular composite according to the particle size of the filler]. MKMK – Mechanics of composite materials and structures, 2003, vol. 9, no. 3, pp. 278-286.

Le Cam J.-B., Huneau B., Verron E., Gornet L. Mechanism of fatigue crack growth in carbon black filled natural rubber. Macromolecules, 2004, vol. 37, pp. 5011-5017. https://doi.org/10.1021/ma0495386">https://doi.org/10.1021/ma0495386

Watabe H., Komura M., Nakajima K., Nishi T. Atomic Force Microscopy of Mechanical Property of Natural Rubber. Jpn. J. Appl. Phys., 2005, vol. 44, pp. 5393-5396. https://doi.org/10.1143%2Fjjap.44.5393">https://doi.org/10.1143%2Fjjap.44.5393

Beurrot S., Huneau B., Verron E. In Situ SEM Study of fatigue crack growth mechanism in carbon black-filled natural rubber. J. Appl. Polymer Sci., 2010, vol. 117, pp. 1260-1269. https://doi.org/10.1002/app.31707">https://doi.org/10.1002/app.31707

Dohi H., Kimura H., Kotani M., Kaneko T., Kitaoka T., Nishi T., Jinnai H. Three-dimensional imaging in polymer science: Its application to block copolymer morphologies and rubber composites. Polymer J., 2007, vol. 39, pp. 749-758. https://doi.org/10.1295/polymj.PJ2006259">https://doi.org/10.1295/polymj.PJ2006259

Morozov I.A. Structural-Mechanical AFM Study of Surface Defects in Natural Rubber Vulcanizates. Macromolecules, vol. 49, no. 16, pp. 5985-5992. https://doi.org/10.1021/acs.macromol.6b01309">https://doi.org/10.1021/acs.macromol.6b01309

Toki S., Sics I., Ran S., Liu L., Hsiao B.S. Molecular orientation and structural development in vulcanized polyisoprene rubbers during uniaxial deformation by in situ synchrotron X-ray diffraction. Polymer, 2003, vol. 44, pp. 6003-6011. https://doi.org/10.1016/S0032-3861(03)00548-2">https://doi.org/10.1016/S0032-3861(03)00548-2

Published

2019-12-30

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Section

Articles

How to Cite

Sokolov, A. K., Garishin, O. K., & Svistkov, A. L. (2019). Modeling of structural damage evolution in filled elastomers with regard for interfacial interaction. Computational Continuum Mechanics, 12(4), 378-389. https://doi.org/10.7242/1999-6691/2019.12.4.32