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Assigning viscoelastic and hyperelastic properties to the middle-ear soft tissues for sound transmission

  • Jing Zhang
  • Chunxiao Jiao
  • Donglin Zou
  • Na Ta
  • Zhushi RaoEmail author
Original Paper
  • 82 Downloads

Abstract

A finite element model of the human ear considering viscoelasticity and hyperelasticity of the middle-ear (ME) soft tissues is developed in this paper. The present model is validated by comparing the static and dynamic responses to experimental data. The model-derived results are in good agreement with existing measurements. On this basis, the dynamic response of the ME under static pressure is re-evaluated. The results show that the static pressure mainly affects the low-frequency responses of the ME below 1000 Hz. In the case of static pressure preloading, the low-frequency displacement of the tympanic membrane and the stapes footplate (SF) and the ME gain are decreased, while the reverse ME impedance is increased. This is because the effective stiffness of the ME is increased due to large deformation and material nonlinearity, resulting in a decrease in the forward response of the ME at frequencies below 1000 Hz. Furthermore, the contribution of viscoelasticity to the ME sound transmission is also discussed. With the consideration of viscoelasticity, the magnitude of the SF displacement increases at frequencies above 3000 Hz, and the phase is mainly increased in the frequency band of 2000–5000 Hz. Moreover, viscoelasticity is more important for the SF displacement under static pressure. Given that only one type of material property (hyperelasticity or viscoelasticity) is considered in most published models, the consideration of both viscoelasticity and hyperelasticity helps to establish an accurate human ear model.

Keywords

Middle ear Viscoelastic property Hyperelastic property Static pressure Finite element 

Notes

Acknowledgements

The authors acknowledge the financial support of this study by the National Natural Science Foundation of China (Grant no. 11172168).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

Although the object of this study is the human ear, the FE method is adopted in this study to study the mechanical properties of the human ear. All analysis procedures performed in this study do not involve any human participants and animals.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Vibration, Shock and Noise, State Key Laboratory of Mechanical System and VibrationShanghai Jiao Tong UniversityShanghaiChina

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