A Study of the Firmness of Soft Materials Based on Nutting's Equation

Blair, G. W. Scott; Veinoglou, B. C.

doi:10.1088/0950-7671/21/9/301

Cited by 22 publications

(9 citation statements)

References 19 publications

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“…The first material investigated using fractional calculus was bitumen in 1944, in a study conducted by Scott-Blair and Veinoglou. 44 Since then, use of the springpot has been somewhat erratic, possibly because of its non-trivial mathematical foundations. However, the springpot has found use in a diverse array of materials outside of the geological and constructionmaterials contexts; for example, in gels.…”

Section: 13mentioning

confidence: 99%

“…Further examples include biological materialse.g. tissues, [29][30][31] single cells, 13,29,[32][33][34][35][36] intra and extra cellular components; 10,37,38 gels, 39,40 polymers, 9,41 concrete, 42,43 asphalt, [44][45][46] ice, 9 and food -e.g. cheese, 11,47 dough.…”

Section: Introductionmentioning

confidence: 99%

“…52,53 This led to the development of a new formalism for the modelling of viscoelastic materials known as fractional viscoelasticity. Fractional viscoelasticity has been applied to complex geological and construction materials such as bitumen (asphalt), 44,45 concrete, 42,43 rock mass, [54][55][56][57][58][59] waxy crude oil, 60,61 as well as polymers and gels, 41,[62][63][64][65] and food. 11 Numerous examples can also be found of fractional viscoelasticity applied to biological materials such as epithelial cells, 66 breast tissue cells, 67,68 lung parenchyma, 69 blood flow, 70,71 as well as red blood cell membranes.…”

Section: Introductionmentioning

confidence: 99%

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Fractional viscoelastic models for power-law materials

et al. 2020

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Section: 13mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fractional viscoelastic models for power-law materials

et al. 2020

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“…Further examples include biological materials -e.g. tissues [29][30][31], single cells [28,29,[32][33][34][35][36], intra and extra cellular components [25,37,38]; gels [39,40], polymers [24,41], concrete [42,43], asphalt [44][45][46], ice [24], and food-e.g. cheese [26,47], dough [23,48].…”

Section: Introductionmentioning

confidence: 99%

Fractional viscoelastic models for power-law materials

Bonfanti,

Kaplan,

Charras

et al. 2020

Preprint

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Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad distribution of time-scales present in their complex internal structure. A promising tool to accurately describe the rheological behaviour of soft materials is fractional calculus. However, its use in the scientific community remains limited due to the unusual notation and nontrivial properties of fractional operators. This review aims to provide a clear and accessible description of fractional viscoelastic models for a broad audience, and to demonstrate the ability of these models to deliver a unified approach for the characterisation of power-law materials. The use of a consistent framework for the analysis of rheological data would help classify the empirical behaviours of soft and biological materials, and better understand their response.

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“…Nutting [26], in 1921, proposed an empirical strain-stress-time model, which showed good agreement with steady state creep for metals: εc=kσPtn where εc is the creep strain, σ is the applied stress, k , P and n are temperature-dependent material constants. This model has been used by researchers for viscoelastic materials with satisfactory results for short-term creep [20,27,28,29].…”

Section: Introductionmentioning

confidence: 99%

Bio-Based Resin Reinforced with Flax Fiber as Thermorheologically Complex Materials

Amiri

Webster

et al. 2016

Polymers

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Abstract:With the increase in structural applications of bio-based composites, the study of long-term creep behavior of these materials turns into a significant issue. Because of their bond type and structure, natural fibers and thermoset resins exhibit nonlinear viscoelastic behavior. Time-temperature superposition (TTS) provides a useful tool to overcome the challenge of the long time required to perform the tests. The TTS principle assumes that the effect of temperature and time are equivalent when considering the creep behavior, therefore creep tests performed at elevated temperatures may be converted to tests performed at longer times. In this study, flax fiber composites were processed with a novel liquid molding methacrylated epoxidized sucrose soyate (MESS) resin. Frequency scans of flax/MESS composites were obtained at different temperatures and storage modulus and loss modulus were recorded and the application of horizontal and vertical shift factors to these viscoelastic functions were studied. In addition, short-term strain creep at different temperatures was measured and curves were shifted with solely horizontal, and with both horizontal and vertical shift factors. The resulting master curves were compared with a 24-h creep test and two extrapolated creep models. The findings revealed that use of both horizontal and vertical shift factors will result in a smoother master curves for loss modulus and storage modulus, while use of only horizontal shift factors for creep data provides acceptable creep strain master curves. Based on the findings of this study, flax/MESS composites can be considered as thermorheologically complex materials.

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A Study of the Firmness of Soft Materials Based on Nutting's Equation

Cited by 22 publications

References 19 publications

Fractional viscoelastic models for power-law materials

Fractional viscoelastic models for power-law materials

Fractional viscoelastic models for power-law materials

Bio-Based Resin Reinforced with Flax Fiber as Thermorheologically Complex Materials

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