Influence of the Mullins effect on the stress–strain state of design at the example of calculation of deformation field in tyre

Соколов, А. К.; Свистков, А. Л.; Shadrin, Vladimir Vasilyevich; Terpugov, V.N.

doi:10.1016/j.ijnonlinmec.2018.05.003

Cited by 11 publications

(4 citation statements)

References 42 publications

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“…The hysteresis loops were also investigated for the SMRs composites with different tensile displacements, as depicted in Figure C and D. All SMR composites showed a typical stress softening effect, known as the Mullins effect, , and this was explained as follows. Some short SMRs chains slipped preferentially along the surface of CB or silica under the application of an external force and return when the external force is removed.…”

Section: Results and Discussionmentioning

confidence: 99%

Investigation on Synthesis and Application Performance of Elastomers with Biogenic Myrcene

Zhang

Han

et al. 2019

Ind. Eng. Chem. Res.

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Due to concerns regarding fuel consumption and environmental issues arising from the use of elastomers, particularly in the automobile industry, we investigated the strategy of fabricating elastomers based on the biogenic β-myrcene and styrene using living anionic polymerization and successfully cross-linked these elastomers with sulfur. Furthermore, the dynamic viscoelastic and mechanical behaviors of these cured elastomers were investigated. Amazingly, the damping factor (tan δ) of the homopolymer of β-myrcene increased to 2.8 and exhibited a good damping potential. In addition, the satisfying wet skid resistance and rolling resistance performance were obtained for the copolymer with styrene. Meanwhile, the tensile strength and elongation at break of the copolymer were approximately 1.4 MPa and 230%, respectively. Moreover, the mechanical performance of the copolymer was distinctly improved after reinforcement with carbon black or silica. In particular, the tensile strength of copolymers filled with 30 phr carbon black or silica increased by 220–378%. On the basis of preliminary results, we believe that the elastomer with biogenic myrcene is a versatile and outstanding candidate future elastomer material.

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Section: Results and Discussionmentioning

confidence: 99%

Investigation on Synthesis and Application Performance of Elastomers with Biogenic Myrcene

Zhang

Han

et al. 2019

Ind. Eng. Chem. Res.

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“…Following the same procedure described in Bower 35 for equation (10) under the loading condition, the expression of the stress calculation during the unloading can be obtained in the form of equation (16). However, as the procedure of the derivation for equation (16) is very complex and lengthy, 35 we can simplify the procedure by taking equation (12) into equation (10) for the stress calculation in the unloading condition. It is noted that ð Þ is related to neither I 1 nor I 2 , it can be taken out as a constant from the bracket for the stress calculation.…”

Section: Hyperelastic-unloading Model For Unloadingmentioning

confidence: 99%

“…11 This approach has been used for a number of applications, such as the dielectric elastomer, the bellow seal etc. [12][13][14][15][16][17] However, it has been found that the model did not provide the costeffective measurement in practical applications. 18 Therefore, other models have been studied for the effective use in applications.…”

Section: Introductionmentioning

confidence: 99%

Complete loading-unloading-deflection prediction for antivibration system design using Hyperelastic-dissipation approach

Luo

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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The complete loading–unloading–deflection response is a key requirement for the antivibration design. Hyperelastic models have already been widely used in industries over many years and are suitable for the loading predictions but not capable for the evaluation of the unloading (the stress softening or the Mullins effect) conditions. The response of antivibration components is significantly different between the upload and the unload conditions and can cause the unforeseen performance of the system. This article proposes a hyperelastic-unloading model to predict (not limited to simulate) the complete load–unload–deflection response of the rubber antivibration systems using only one parameter, i.e. resilience index. Six industrial products have successfully been used for the verification. A key finding is that the complete loading–unloading response can be obtained realistically using the resilience index [Formula: see text] for the design of brand new products without data fitting procedures. The value can be altered for existing products to suit different applications. In industries, the existing hyperelastic models can be easily modified to the hyperelastic-unloading models without changing their values of the original parameters. The suggested approach is effective and can be used in the antivibration analysis and applications.

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“…An important feature of elastomeric composites is the ability to change their mechanical properties (softening) as a result of preliminary deformation (the Mullins-Patrikeev effect) (Svistkov, 2010;Patrikeev, 1946;Mullins, 1947;Mullins & Tobin, 1965;Mullins, 1986;Diani et al, 2009). This feature can significantly influence the mechanical behavior of the products made of filled elastomer (Sokolov et al, 2016;Sokolov et al, 2018). To date, the Mullins effect is an object of intensive theoretical and experimental study.…”

Section: Introductionmentioning

confidence: 99%

A new hypothesis on the mechanism of nano-filled elastomers reinforcement

Соколов

Garishin

Свистков

2018

Mech Adv Mater Mod Process

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Incorporation of active fillers to rubber markedly improves the strength properties and deformation characteristics of such materials. One possible explanation of this phenomenon is suggested in this work. It is based on the fact that for large deformations the binder (high-elastic, cross-linked elastomer) in the gaps between the filler particles (carbon black) is in a state close to the uniaxial extension. The greater part of polymer molecular chains are oriented along the loading axis in this situation. Therefore it can be assumed that the material in this state has a higher strength compared to other ones at the same intensity of deformation. In this paper, a new strength criterion is proposed, and a few examples are given to illustrate its possible use. It is shown that microscopic ruptures that occur during materials deformation happen not in the space between filler particles but at some distance around from it without breaking particle "interactions" through these gaps. The verification of this approach in modeling the stretching of a sample from an unfilled elastomer showed that in this case it works in full accordance with the classical strength criteria, where the presence in the material of a small defect (microscopic incision) leads to the appearance and catastrophic growth of the macrocrack.

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Influence of the Mullins effect on the stress–strain state of design at the example of calculation of deformation field in tyre

Cited by 11 publications

References 42 publications

Investigation on Synthesis and Application Performance of Elastomers with Biogenic Myrcene

Investigation on Synthesis and Application Performance of Elastomers with Biogenic Myrcene

Complete loading-unloading-deflection prediction for antivibration system design using Hyperelastic-dissipation approach

A new hypothesis on the mechanism of nano-filled elastomers reinforcement

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