On the Modelling of Ultrasonic Bulk Wave Propagation in Epoxies

Challis, R.E.; Blarel, F.; Unwin, M. E.; Guo, Xianping

doi:10.1088/1742-6596/269/1/012001

Cited by 3 publications

(4 citation statements)

References 13 publications

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“…1(a constants, which result from the relaxation of the polymers, can be accurately described using the classical Zener model of viscoelastic materials. 24,25 As shown in Figs. 1(a) and 1(b), satisfactory fits to the experimental data could be obtained using only four relaxation times s n , n ¼ 1 4, which are related to the Lam e constants according to the following expressions: 26…”

Section: A Materials Propertiesmentioning

confidence: 84%

Random acoustic metamaterial with a subwavelength dipolar resonance

Duranteau

Valier‐Brasier

Conoir

et al. 2016

The Journal of the Acoustical Society of America

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The effective velocity and attenuation of longitudinal waves through random dispersions of rigid, tungsten-carbide beads in an elastic matrix made of epoxy resin in the range of beads volume fraction 2%-10% are determined experimentally. The multiple scattering model proposed by Luppé, Conoir, and Norris [J. Acoust. Soc. Am. 131(2), 1113-1120 (2012)], which fully takes into account the elastic nature of the matrix and the associated mode conversions, accurately describes the measurements. Theoretical calculations show that the rigid particles display a local, dipolar resonance which shares several features with Minnaert resonance of bubbly liquids and with the dipolar resonance of core-shell particles. Moreover, for the samples under study, the main cause of smoothing of the dipolar resonance of the scatterers and the associated variations of the effective mass density of the dispersions is elastic relaxation, i.e., the finite time required for the shear stresses associated to the translational motion of the scatterers to propagate through the matrix. It is shown that its influence is governed solely by the value of the particle to matrix mass density contrast.

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Section: A Materials Propertiesmentioning

confidence: 84%

Random acoustic metamaterial with a subwavelength dipolar resonance

Duranteau

Valier‐Brasier

Conoir

et al. 2016

The Journal of the Acoustical Society of America

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“…The attenuation associated to the Kelvin-Voigt model is proportional to the square of the frequency but this model has a tendency to overestimate the attenuation. The models of Maxwell and Zener take into account the relaxation time but also overestimate the attenuation [17,21]. For a wide variety of materials (viscous fluids and viscoelastic tissues), the attenuation can be modeled on a finite bandwidth by a power law [12,14] of the following form:…”

Section: Broadband Behavior Of Attenuation and Phase Velocity Dispersmentioning

confidence: 99%

“…In the third part, acoustics parameters were measured using several methods for two reference silicone oils by different center frequency transducers in the MHz range. Viscosity is evaluated using the Cole-Cole model [17].…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic broadband characterization of a viscous liquid: Methods and perturbation factors

2015

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“…A modeling of the frequency dependence of the longitudinal ultrasonic wave attenuation in thermosetting resin makes it possible to identify viscoelastic parameters. In this context, Challis et al [24,25] have demonstrated that a Cole-Cole model successfully simulates wave propagation in cured resin. Relations between the attenuation power law and Cole-Cole parameters were developed and validated experimentally in a limited set of experiments at constant temperature of the viscous silicone oils [26,27].…”

Section: Introductionmentioning

confidence: 99%

Ultrasound monitoring of the cure kinetics of an epoxy resin: Identification, frequency and temperature dependence

2016

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In this paper the monitoring of ultrasonic parameters of a thermosetting resin during an isothermal curing process is described. The ultrasonic properties are studied within the context of the monitoring of composite plate production by resin transfer molding (RTM). These ultrasonic characteristics can be related directly to cure kinetic models. An ultrasonic method, based on the measurement of the elastic constant and associated mechanical loss has been developed to identify the variations of the phase transformation. To study the reaction kinetics, the time dependence of the elastic coefficient is modeled using a Weibull distribution. The approximate time derivative form of this Weibull model makes it possible to find the relationship between ultrasonic parameters and the chemical Kamal model. The ultrasonic monitoring of a cooling process was also performed to study the temperature sensitivity after curing. Thanks to experimental measurements of the ultrasonic velocity and attenuation, the power law coefficient variations and their temperature sensitivity can be examined. The resulting viscoelastic Cole-Cole parameters were estimated and a frequency-temperature (f, T) model was proposed.

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On the Modelling of Ultrasonic Bulk Wave Propagation in Epoxies

Cited by 3 publications

References 13 publications

Random acoustic metamaterial with a subwavelength dipolar resonance

Random acoustic metamaterial with a subwavelength dipolar resonance

Ultrasonic broadband characterization of a viscous liquid: Methods and perturbation factors

Ultrasound monitoring of the cure kinetics of an epoxy resin: Identification, frequency and temperature dependence

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