On wave phenomena in permeable foam

M.E.H. Dongen, van, D.M.J. Smeulders, T. Kitamura, K. Takayama

    Research output: Contribution to journalArticleAcademicpeer-review

    6 Citations (Scopus)

    Abstract

    The linear Biot theory fur wave propagation in porous media is applied to waves in an open cell permeable foam. The relevant physical parameters are specified. In general two wave modes exist, with their own frequency dependent wave speeds and damping factors. The reflection of a weak shock wave from a semi-infinite elastic foam is considered. It is shown that the deformation of the foam and the related effective stress arc caused by friction. The total stress behaves as a damped wave, whereas the pressure and the effective stress show a mixed wave-like diffusion- like behaviour. Expressions are derived for the reflection coefficient and for the maximum effective stress in the foam. The non-linear permeabilities and stress strain relations for two types of flexible poly-urethane foams are specified. The reflection of a weak shock wave from a slab of foam material adjacent to a solid wall is simulated for both types of foams, making use of effective values of the permeability. It is shown that even for a weak shock of Mach number 1.07, a partial mechanical collapse of the foam is to be expected.
    LanguageEnglish
    Pages63-70
    Number of pages8
    JournalAcustica
    Volume81
    Issue number1
    StatePublished - 1995

    Fingerprint

    foams
    shock waves
    permeability
    diffusion waves
    urethanes
    Mach number
    wave propagation
    slabs
    friction
    arcs
    damping
    shock
    reflectance
    cells

    Cite this

    Dongen, van, M. E. H., Smeulders, D. M. J., Kitamura, T., & Takayama, K. (1995). On wave phenomena in permeable foam. Acustica, 81(1), 63-70.
    Dongen, van, M.E.H. ; Smeulders, D.M.J. ; Kitamura, T. ; Takayama, K./ On wave phenomena in permeable foam. In: Acustica. 1995 ; Vol. 81, No. 1. pp. 63-70
    @article{4e18f5ed74404099b006e5db8538c5a2,
    title = "On wave phenomena in permeable foam",
    abstract = "The linear Biot theory fur wave propagation in porous media is applied to waves in an open cell permeable foam. The relevant physical parameters are specified. In general two wave modes exist, with their own frequency dependent wave speeds and damping factors. The reflection of a weak shock wave from a semi-infinite elastic foam is considered. It is shown that the deformation of the foam and the related effective stress arc caused by friction. The total stress behaves as a damped wave, whereas the pressure and the effective stress show a mixed wave-like diffusion- like behaviour. Expressions are derived for the reflection coefficient and for the maximum effective stress in the foam. The non-linear permeabilities and stress strain relations for two types of flexible poly-urethane foams are specified. The reflection of a weak shock wave from a slab of foam material adjacent to a solid wall is simulated for both types of foams, making use of effective values of the permeability. It is shown that even for a weak shock of Mach number 1.07, a partial mechanical collapse of the foam is to be expected.",
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    year = "1995",
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    Dongen, van, MEH, Smeulders, DMJ, Kitamura, T & Takayama, K 1995, 'On wave phenomena in permeable foam' Acustica, vol. 81, no. 1, pp. 63-70.

    On wave phenomena in permeable foam. / Dongen, van, M.E.H.; Smeulders, D.M.J.; Kitamura, T.; Takayama, K.

    In: Acustica, Vol. 81, No. 1, 1995, p. 63-70.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - On wave phenomena in permeable foam

    AU - Dongen, van,M.E.H.

    AU - Smeulders,D.M.J.

    AU - Kitamura,T.

    AU - Takayama,K.

    PY - 1995

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    N2 - The linear Biot theory fur wave propagation in porous media is applied to waves in an open cell permeable foam. The relevant physical parameters are specified. In general two wave modes exist, with their own frequency dependent wave speeds and damping factors. The reflection of a weak shock wave from a semi-infinite elastic foam is considered. It is shown that the deformation of the foam and the related effective stress arc caused by friction. The total stress behaves as a damped wave, whereas the pressure and the effective stress show a mixed wave-like diffusion- like behaviour. Expressions are derived for the reflection coefficient and for the maximum effective stress in the foam. The non-linear permeabilities and stress strain relations for two types of flexible poly-urethane foams are specified. The reflection of a weak shock wave from a slab of foam material adjacent to a solid wall is simulated for both types of foams, making use of effective values of the permeability. It is shown that even for a weak shock of Mach number 1.07, a partial mechanical collapse of the foam is to be expected.

    AB - The linear Biot theory fur wave propagation in porous media is applied to waves in an open cell permeable foam. The relevant physical parameters are specified. In general two wave modes exist, with their own frequency dependent wave speeds and damping factors. The reflection of a weak shock wave from a semi-infinite elastic foam is considered. It is shown that the deformation of the foam and the related effective stress arc caused by friction. The total stress behaves as a damped wave, whereas the pressure and the effective stress show a mixed wave-like diffusion- like behaviour. Expressions are derived for the reflection coefficient and for the maximum effective stress in the foam. The non-linear permeabilities and stress strain relations for two types of flexible poly-urethane foams are specified. The reflection of a weak shock wave from a slab of foam material adjacent to a solid wall is simulated for both types of foams, making use of effective values of the permeability. It is shown that even for a weak shock of Mach number 1.07, a partial mechanical collapse of the foam is to be expected.

    M3 - Article

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    EP - 70

    JO - Acustica

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    SN - 0001-7884

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