Technical Material Diagnostics - Fracture Mechanics of Filled Elastomer Blends

Grellmann, W.; Reincke, K.

doi:10.1007/978-3-642-37910-9_6

Cited by 19 publications

(6 citation statements)

References 29 publications

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“…The above Equation (19) converges to the Yeoh model/reduced polynomial equation when a third order polynomial is considered based on the first strain invariant I 1 . This in fact becomes a crucial model for tyre compounds considering the stress-strain characteristics at high strain percentages.…”

Section: Hyperelastic Constitutive Modelingmentioning

confidence: 94%

Insights on the J‐integral expression of pure shear carbon black filled natural rubber specimen and predicting the crack growth rate using finite element method

Bhattacharyya,

Mishra,

Dolui

et al. 2023

SPE Polymers

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The J‐integral approach manifests itself in an efficient way to determine the crack growth and failure mechanism of tread and sidewall compounds used in tyres. Therefore, for a pure shear (PS) specimen of carbon black filled natural rubber, the J‐integral formula was vivisected, and the material parameters were defined using the concepts of solid mechanics considering the planar stress conditions. Theoretical calculations, experimental observations, and finite element analysis were executed to calculate the J value for different strain percentages. Different hyperelastic material models were used to understand the hyperelastic behavior of the test compound, but Yeoh model was found to be the best fit with the least error against the experimental test data. The frequency sweep dynamic mechanical analyzer test was done to observe the viscoelastic response of the material. It was observed that the J value decreased with decreasing contour radius and had exhibited stark difference with the global tearing energy values, indicating the effects of stress softening and the dependence of J value on the elastic characteristics of the material. Further, the J value attained from finite element methods for a random strain 22% was used to predict the crack growth rate of the pre‐notched PS specimen.Highlights J‐integral formula for pure shear specimen using solid mechanics approach. J value comparison of theoretical, experimental, and finite element methods. Dependence of J value on the elastic characteristics of the material. Different hyperelastic models compared and Yeoh model chosen for analysis. Prediction of crack growth rate at a random strain percentage.

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Section: Hyperelastic Constitutive Modelingmentioning

confidence: 94%

Insights on the J‐integral expression of pure shear carbon black filled natural rubber specimen and predicting the crack growth rate using finite element method

Bhattacharyya,

Mishra,

Dolui

et al. 2023

SPE Polymers

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“…The tearing energy

T

according to Thomas and Rivlin is the most well‐known fracture mechanics parameter for elastomers. The tearing energy for the uniaxial loaded SENT‐specimen is defined as follows [ 18 ] :

T = \frac{2 π}{\sqrt{λ}} W_{tot} c .

…”

Section: Experimental Investigationsmentioning

confidence: 99%

Impact of the occurrence probability of carbon black agglomerates on the measured and predicted durability of filled elastomers

Yaagoubi

Meier

2021

Polymer Engineering & Sci

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This work analyses the impact of the sample geometry on the stress or strain concentration and the occurrence of big agglomerates in the investigated test volume. Although the three investigated dumbbell test specimens were loaded at the same stress level, there were significant differences in measured lifetime. These differences in the lifetime are due to the occurrence of the large agglomerates in the tested volume. The probability of occurrence of large agglomerates increases with increase in the investigated volume. In the lifetime prediction by Monte Carlo method, this effect is realized by changing the quantity of the distributed agglomerates in the mesh of the simulated model. The prediction of the different sample geometries shows a very good agreement with the measurement points. The numerical simulations illustrate the stress increase for the three used lifetime test samples.

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“…It is another powerful energetic fracture criterion, which describes a path‐independent line integral around the crack tip. However, due to the high nonlinear viscoelasticity of elastomeric materials, J ‐integral criterion cannot be directly applied for elastomeric materials without modification . Thanks to the tentative applications of J ‐integral in elastomer fields, nowadays, the J ‐integral theory has been successfully adopted to evaluate the fracture resistance of rubber materials, and some instructive results were obtained .…”

Section: Introductionmentioning

confidence: 99%

“…Agnelli et al declared that the crack tip opening displacement ( CTOD ) could be seen as an indirect reflection of crack advancement for viscoelastic elastomeric materials. By combining J ‐integral theory with CTOD concept, Grellmann et al evaluated the crack initiation and propagation resistance of elastomers by introducing critical J ‐value J IC and tearing modulus T R .…”

Section: Introductionmentioning

confidence: 99%

“…However, due to the high nonlinear viscoelasticity of elastomeric materials, J ‐integral criterion cannot be directly applied for elastomeric materials without modification . Thanks to the tentative applications of J ‐integral in elastomer fields, nowadays, the J ‐integral theory has been successfully adopted to evaluate the fracture resistance of rubber materials, and some instructive results were obtained . It has been proved that the J ‐integral and tearing energy gave the equivalent calculation results for single‐edge notched tension (SENT) specimens of rubbers .…”

Section: Introductionmentioning

confidence: 99%

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Effects of hybrid filler networks of carbon nanotubes and carbon black on fracture resistance of styrene‐butadiene rubber composites

Dong

Liu

et al. 2016

Polymer Engineering & Sci

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In this study, influences of hybrid filler networks of carbon nanotubes (CNTs) and carbon black (CB) on fracture resistance of styrene‐butadiene rubber (SBR) composites were well investigated. The spherical CB was partially substituted by fibrous CNTs in two different ways: unequal replacement (1 phr CNTs replacing 4 phr CB) and equal replacement (1 phr CNTs replacing 1 phr CB). The J‐integral tests were employed to evaluate the crack initiation and propagation resistance. The strain amplification and distribution near the crack tip was measured by digital image correlation to explore the fracture resistance mechanism. Results revealed that the fracture resistance was effectively improved by unequal replacement. Meanwhile, for unequal replacement, higher content of CNTs resulted in a weaker strain amplification factor and larger amplification area near the crack tip, which contributed to the improved fracture resistance. However, opposite trends were observed for equal replacement. A synergistic effect in fracture resistance of SBR composites between CB and CNTs was realized for unequal replacement. POLYM. ENG. SCI., 56:1425–1431, 2016. © 2016 Society of Plastics Engineers

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Technical Material Diagnostics - Fracture Mechanics of Filled Elastomer Blends

Cited by 19 publications

References 29 publications

Insights on the J‐integral expression of pure shear carbon black filled natural rubber specimen and predicting the crack growth rate using finite element method

Insights on the J‐integral expression of pure shear carbon black filled natural rubber specimen and predicting the crack growth rate using finite element method

Impact of the occurrence probability of carbon black agglomerates on the measured and predicted durability of filled elastomers

Effects of hybrid filler networks of carbon nanotubes and carbon black on fracture resistance of styrene‐butadiene rubber composites

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