1998
DOI: 10.1177/001448519803800402
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An Experimental Method for considering Dispersion and Attenuation in a Viscoelastic Hopkinson Bar

Abstract: ABSTRACT--An experimental method is developed to per-Z*(e0) form Hopkinson tests by means of viscoelastic bars by con-(~(o3) sidering the wave propagation attenuation and dispersion due s to the material rheological properties and the bar radial inertia ~l(t) (geometric effect). A propagation coefficient, representative of the wave dispersion and attenuation, is evaluated experi-mentally. Thus, the Pochhammer and Chree frequency equation is not necessary. Any bar cross-section shapes can be employed, and the k… Show more

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Cited by 45 publications
(62 citation statements)
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“…However, as PMMA is a viscoelastic material and the wave dispersion effect cannot be neglected when stress wave propagates in the bar, the signals need correction before being used. Bacon [5] developed an experimental method to correct the dispersion effect. If the lateral motion can be neglected in a straight cylindrical bar, the normal stress σ (x, t) and the longitudinal strain ε(x, t) are related to the axial displacement u(x, t) at cross-section x and at time t by ∂σ (x, t)…”
Section: Experimental Methodsmentioning
confidence: 99%
“…However, as PMMA is a viscoelastic material and the wave dispersion effect cannot be neglected when stress wave propagates in the bar, the signals need correction before being used. Bacon [5] developed an experimental method to correct the dispersion effect. If the lateral motion can be neglected in a straight cylindrical bar, the normal stress σ (x, t) and the longitudinal strain ε(x, t) are related to the axial displacement u(x, t) at cross-section x and at time t by ∂σ (x, t)…”
Section: Experimental Methodsmentioning
confidence: 99%
“…titanium, magnesium alloy or aluminum, or a polymer, e.g. polymethylmethacrylate (PMMA), PC, or nylon [77][78][79][80][81][82][83][84][85][86][87][88]. Low impedance metallic bars do not require any changes to the experimental apparatus or data reduction.…”
Section: Dynamic Loading: Split Hopkinson Pressure Barmentioning
confidence: 99%
“…The data were used to calculate the experimentally determined wave transfer function and wave propagation coefficient in frequency domain, according to Bacon's method and its modification. [34,35] Wave propagation coefficient was calculated separately for incident and transmission bars using "bars together" and "incident bar apart" void tests.…”
Section: Shpb Data Processingmentioning
confidence: 99%