Wave Attenuation in Viscoelastic Continuum with Fading Memory

Xue, Songtao; Tobita, Jun; Hanzawa, Tetsuya; Izumi, Masanori

doi:10.1061/(asce)0733-9399(1992)118:8(1597)

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Linear Viscoelastic Wave Propagation Equation1

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Cited by 6 publications

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“…(7) leads to (11) where C 0 = E 0 /ρ 0 , andψ 0 (t) =ψ(t)/ρ 0 . This is the one-dimensional linear viscoelastic wave propagation equation [14].…”

Section: Linear Viscoelastic Wave Propagation Equationmentioning

confidence: 99%

Wave Dispersion and Attenuation in Viscoelastic Split Hopkinson Pressure Bar

Cheng

Crandall

Pilkey

1998

Shock and Vibration

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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 of viscoelastic waves. Computational simulations are performed to show the feasibility of the method.

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“…(7) leads to (11) where C 0 = E 0 /ρ 0 , andψ 0 (t) =ψ(t)/ρ 0 . This is the one-dimensional linear viscoelastic wave propagation equation [14].…”

Section: Linear Viscoelastic Wave Propagation Equationmentioning

confidence: 99%