A non-linear viscoelastic model for the tympanic membrane

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[1] [1,Motallebzadeh, Hamid
[2] 1,Charlebois, Mathieu
[3] Funnell, W. Robert J.
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| 1600年 / Acoustical Society of America卷 / 134期
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The mechanical behavior of the tympanic membrane displays both non-linearity and viscoelasticity. Previous finite-element models of the tympanic membrane; however; have been either non-linear or viscoelastic but not both. In this study; these two features are combined in a non-linear viscoelastic model. The constitutive equation of this model is a convolution integral composed of a non-linear elastic part; represented by an Ogden hyperelastic model; and an exponential time-dependent part; represented by a Prony series. The model output is compared with the relaxation curves and hysteresis loops observed in previous measurements performed on strips of tympanic membrane. In addition; a frequency-domain analysis is performed based on the obtained material parameters; and the effect of strain rate is explored. The model presented here is suitable for modeling large deformations of the tympanic membrane for frequencies less than approximately 3 rad/s or about 0.6 Hz. These conditions correspond to the pressurization involved in tympanometry. © 2013 Acoustical Society of America;
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