title: A non-linear viscoelastic model for the tympanic membrane.
abstract: 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.
authors: Department of BioMedical Engineering, Faculty of Medicine, McGill University, 3775 rue University, Montréal, Québec H3A 2B4, Canada.
authors: Hamid
authors: H
authors: Motallebzadeh
authors: Department of BioMedical Engineering, Faculty of Medicine, McGill University, 3775 rue University, Montréal, Québec H3A 2B4, Canada.
authors: Mathieu
authors: M
authors: Charlebois
authors: Departments of BioMedical Engineering and Otolaryngology-Head & Neck Surgery, McGill University, 3775 rue University, Montréal, Québec H3A 2B4, Canada.
authors: W Robert J
authors: WR
authors: Funnell
mesh_terms: D003198:Computer Simulation; D004548:Elasticity; D020342:Finite Element Analysis; D006801:Humans; D040542:Mechanotransduction, Cellular; D008954:Models, Biological; D009038:Motion; D017711:Nonlinear Dynamics; D011312:Pressure; D015203:Reproducibility of Results; D013016:Sound; D013997:Time Factors; D014432:Tympanic Membrane / Q000033:anatomy & histology / Q000502:physiology*; D014783:Viscosity