A method for modeling polymer viscoelastic data and the temperature shift function

Madigosky, W. M.; Lee, Gilbert F.; Niemiec, Jan M.

doi:10.1121/1.2195292

Cited by 33 publications

(12 citation statements)

References 6 publications

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“…Therefore, instead of the sigmoidal function, a complex modulus model proposed by Havriliak and Negami [32] was adopted to accomplish this manipulation in the present study. The Havriliak-Negami (HN) model has been able to accurately simulate the mechanical relaxation behavior of polymer materials in the frequency domain [33][34][35]. However, very limited research has been reported on modeling LVE behavior of asphalt concrete with the HN model.…”

Section: Havriliak-negami Modelmentioning

confidence: 99%

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

Sun

Huang

Chen

2015

Construction and Building Materials

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Section: Havriliak-negami Modelmentioning

confidence: 99%

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

Sun

Huang

Chen

2015

Construction and Building Materials

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“…However, parameters of these laws are often determined by curve-fitting [42] in order to best superimpose the isotherms and they can have poor precision. In the present paper, we have determined it along with the parameters of the viscoelastic model (as it is done by some authors [43,44]). As underlined in [45], the calculated shift coefficients with this last method have a physical meaning since the viscoelastic model is supposed to verify some conditions such as causality [46].…”

Section: Accepted Manuscript N O T C O P Y E D I T E Dmentioning

confidence: 98%

Seven-Parameter Linear Viscoelastic Model Applied to Acoustical Damping Materials

Gourdon

Sauzéat

Benedetto

et al. 2015

Journal of Vibration and Acoustics

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In this paper, linear viscoelastic rheological properties of acoustical damping materials are predicted. A rheological model, based on a mechanical element approach, is presented. It consists of a combination of Two Springs, Two Parabolic elements and One Dashpot (2S2P1D). This model is applied to different acoustical damping materials. Its specificity comes from the fact that elements might be linked to structural and physical features. Parameters might be experimentally determined by tests. Application of the 2S2P1D linear viscoelastic model can adequately predict the behavior of acoustical damping materials with good accuracy. If the material verifies the time-temperature superposition principle the proposed model can predict the behavior on a wide frequency range, even with a small number of available data. IntroductionNowadays, acoustical foams [1-4] and acoustical composite materials [5] are widely used for sound and vibration damping in building or automotive applications. To suppress vibrations, viscoelastic materials are usually placed on the surfaces of structures. To predict the responses of the damped structure and to design it, it is important to know the properties of the foams in the frequency range relevant to their application, so in a wide frequency range for acoustic applications. Biot's theory [6] is used to describe the dynamic behavior of porous medium when the skeleton is set in motion. This theory uses the viscoelastic properties of the solid phase. Moreover, it must be underlined that the viscoelastic properties of these acoustic foams are strongly frequency and temperature dependent as emphasized by lots of experimental works on the subject [7-13]. To describe the frequency and temperature dependence efficiently, computerized numerical methods require a mathematical model on the dynamic properties. To experimentally determine those viscoelastic properties of acoustical foams different techniques are used and explained in literature. They are mainly based on mass-spring resonance [10], standing wave resonance of a longitudinally excited rod with end mass [10] or based on nonresonant techniques [11,14]. An extension of certain measurements on a wide frequency range can be performed by using the time-temperature superposition principle as done by [15]. So a theoretical modelization of the viscoelastic behavior of foams is needed to enhance the frequency range. For all those reasons, a mathematical form of frequency dependences of dynamic properties is required. Modelling the viscoelastic behavior is an old problem not only in damping polymer materials but also in the field of bituminous materials [16][17][18]. Empirical models have been used [19,20] but the disadvantages of empirical models are that they are not related to the general constitutive equation of viscoelastic materials and it is difficult to understand the physics. Moreover, to apply a mathematical model to damping material, the model parameters should be easily estimated through experiments. In many existing models, those para...

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“…The elastic constants are independent of temperature and the time constatnts have the same dependence of temperature. The isotherms of dynamic modulus can be shifted into a unique master curve by using the horizontal shift factor [28][29][30]. When the Cole-Cole plot and the Black diagram are temperature dependent, the material does not exhibit simple thermorheological behavior.…”

Section: Applicablity Of the Time-temperature Superposition Principlementioning

confidence: 99%

Temperature effect on viscoelastic properties of anisotropic magnetorheological elastomers under compression

Wan

Xiong

Zhang

2018

Smart Mater. Struct.

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Magnetorheological elastomers (MREs) are a class of smart materials composed of an elastomer and micron-sized magnetic particles. Besides the loading amplitude and frequency, the elastic and rheological properties of MREs are also dependent on the external magnetic field and temperature. Previous studies focused on the influences of external magnetic field, strain amplitude and frequency on the dynamic properties, however, the temperature effect was rarely reported. In this paper, the dynamic mechanical analysis (DMA) tests were carried out to investigate the viscoelastic properties of the anisotropic MRE samples under various temperatures and magnetic fields. A transition behavior of the anisotropic MRE samples was observed at about 50°C for dynamic modulus. The storage modulus initially decreased with the increasing of temperature up to 50°C and then increased or maintained a stable value when temperature increased until to 60°C. The time-temperature superposition (TTS) principle was extended to construct the dynamic modulus master curve of the MREs by using the horizontal shift factor and the vertical shift factor. The good correlations between the measured and predicted data were confirmed by performing statistical analysis for the goodness of fit. The constructed master curve and shift factors can be used to predict the viscoelastic properties of the MREs beyond the DMA experiment range of temperatures and frequencies.

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A method for modeling polymer viscoelastic data and the temperature shift function

Cited by 33 publications

References 6 publications

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

Seven-Parameter Linear Viscoelastic Model Applied to Acoustical Damping Materials

Temperature effect on viscoelastic properties of anisotropic magnetorheological elastomers under compression

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