A general methodology for inverse estimation of the elastic and anelastic properties of anisotropic open-cell porous materials-with application to a melamine foam

QC 20140508. Updated from submitted to published
This paper proposes an inverse estimation method for the characterisation of the elastic and anelastic properties of the frame of anisotropic open-cell foams used for sound absorption. A model of viscoelasticity based on a fractional differential constitutive equation is used, leading to an augmented Hooke's law in the frequency domain, where the elastic and anelastic phenomena appear as distinctive terms in the stiffness matrix. The parameters of the model are nine orthotropic elastic moduli, three angles of orientation of the material principal directions and three parameters governing the anelastic frequency dependence. The inverse estimation consists in numerically fitting the model on a set of transfer functions extracted from a sample of material. The setup uses a seismic-mass measurement repeated in the three directions of space and is placed in a vacuum chamber in order to remove the air from the pores of the sample. The method allows to reconstruct the full frequency-dependent complex stiffness matrix of the frame of an anisotropic open-cell foam and in particular it provides the frequency of maximum energy dissipation by viscoelastic effects. The characterisation of a melamine foam sample is performed and the relation between the fractional-derivative model and other types of parameterisations of the augmented Hooke's law is discussed.

Van der Kelen, Christophe,1986-KTH,MWL Strukturakustik,MWL Marcus Wallenberg Laboratoriet,MWL Numerisk akustik(Swepub:kth)u1p28nlu (författare)
Göransson, Peter,1959-KTH,MWL Numerisk akustik(Swepub:kth)u1m0unv8 (författare)
KTHMWL Numerisk akustik (creator_code:org_t)

Ingår i:Journal of Applied Physics: AIP Publishing115:8, s. 084904-0021-89791089-7550

Av författaren/redakt...: Cuenca, Jacques; Van der Kelen, C ...; Göransson, Peter ...

Om ämnet

TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Materialteknik; och Textil gummi och ...

TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Maskinteknik; och Strömningsmekani ...

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