1998
DOI: 10.1155/1998/906291
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Wave Dispersion and Attenuation in Viscoelastic Split Hopkinson Pressure Bar

Abstract: A viscoelastic split Hopkinson pressure bar intended for testing soft materials with low acoustic impedance is studied. Using one-dimensional linear viscoelastic wave propagation theory, the basic equations have been established for the determination of the stress—strain—strain rate relationship for the tested material. A method, based on the spectral analysis of wave motion and using measured wave signals along the split Hopkinson pressure bar, is developed for the correction of the dispersion and attenuation… Show more

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Cited by 20 publications
(16 citation statements)
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References 11 publications
(18 reference statements)
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“…Several tests at different impact velocities were performed to apply the method described in section 2.2, using only the input bar. The incident, ε 1 , and reflected, ε 2 , waves were recorded and the procedure described followed to obtain the propagation coefficient, γ(ω), using expression (8), and its components: the attenuation coefficient, α(ω), and the phase number,…”
Section: Experimental Determination Of the Propagation Coefficient Usmentioning
confidence: 99%
See 1 more Smart Citation
“…Several tests at different impact velocities were performed to apply the method described in section 2.2, using only the input bar. The incident, ε 1 , and reflected, ε 2 , waves were recorded and the procedure described followed to obtain the propagation coefficient, γ(ω), using expression (8), and its components: the attenuation coefficient, α(ω), and the phase number,…”
Section: Experimental Determination Of the Propagation Coefficient Usmentioning
confidence: 99%
“…Propagation of waves in viscoelastic bars is prone to attenuation and dispersion, even if geometrical effects are not significant, so that, different methods have been developed to correct their effects on such a kind of materials [5][6][7][8][9][10][11].…”
Section: Introductionmentioning
confidence: 99%
“…The subscript m refers to the mode of the solution and, generally, only the first mode is considered [17]. The transfer function determines the amount of phase shift and attenuation with respect to space.…”
Section: Hopkinson Bar Theorymentioning
confidence: 99%
“…The first method is based on a theoretical viscoelastic constitutive equation and a characteristics theory of wave propagation (Bacon, 1998). An alternative approach is to use spectral analysis to correct wave pulses (Cheng et al, 1998;Zhao et al, 1997;Duyle, 1989). In this paper, spectral analysis and a wave shifting procedure are applied to a PMMA split Hopkinson pressure bar setup.…”
Section: Introductionmentioning
confidence: 99%