Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

632
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
632
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

776
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
776
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

515
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
515
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

707
Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
707
Strain and Elastic Modulus01:15

Strain and Elastic Modulus

9.3K
The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
9.3K
Dynamic Modulus of Elasticity of Concrete01:16

Dynamic Modulus of Elasticity of Concrete

1.2K
The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...
1.2K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Composite Certainty: Addressing Metric Degeneracy in Parameter Inference for Model-Based Diagnostics.

bioRxiv : the preprint server for biology·2026
Same author

Composite Biofidelity: Addressing Metric Degeneracy in Biomechanical Model Validation and Machine Learning Loss Design.

bioRxiv : the preprint server for biology·2026
Same author

Simulation-based inference for subject-specific tuning of middle ear finite-element models towards personalized objective diagnosis.

Scientific reports·2025
Same author

Acoustical Effects of Tympanostomy Tube Attachment to Human Tympanic Membrane.

Journal of the Association for Research in Otolaryngology : JARO·2025
Same author

From Simulations to Inference: Using Machine Learning to Tune Patient-Specific Finite-Element Models of the Middle Ear Towards Objective Diagnosis.

bioRxiv : the preprint server for biology·2024
Same author

The influence of tympanic-membrane orientation on acoustic ear-canal quantities: A finite-element analysis.

The Journal of the Acoustical Society of America·2024

Related Experiment Video

Updated: Apr 17, 2026

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.8K

A non-linear viscoelastic model for the tympanic membrane.

Hamid Motallebzadeh1, Mathieu Charlebois1, W Robert J Funnell2

  • 1Department of BioMedical Engineering, Faculty of Medicine, McGill University, 3775 rue University, Montréal, Québec H3A 2B4, Canada.

The Journal of the Acoustical Society of America
|February 12, 2015
PubMed
Summary

This study introduces a new non-linear viscoelastic model for the tympanic membrane, combining Ogden hyperelasticity and Prony series. This model accurately simulates large deformations relevant to tympanometry.

More Related Videos

Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics
08:21

Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics

Published on: January 22, 2020

14.3K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.9K

Related Experiment Videos

Last Updated: Apr 17, 2026

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.8K
Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics
08:21

Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics

Published on: January 22, 2020

14.3K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.9K

Area of Science:

  • Biomechanics
  • Biomedical Engineering
  • Materials Science

Background:

  • The tympanic membrane exhibits complex mechanical properties, including non-linearity and viscoelasticity.
  • Existing finite-element models often address only non-linearity or viscoelasticity, not both.
  • Accurate modeling is crucial for understanding middle ear function and diagnosing conditions like otitis media.

Purpose of the Study:

  • To develop and validate a novel finite-element model that integrates both non-linear and viscoelastic behaviors of the tympanic membrane.
  • To provide a more comprehensive computational tool for analyzing tympanic membrane mechanics.
  • To investigate the mechanical response under conditions relevant to diagnostic procedures such as tympanometry.

Main Methods:

  • A constitutive equation was formulated using a convolution integral, combining an Ogden hyperelastic model for non-linearity and a Prony series for viscoelasticity.
  • The model's predictions were validated against experimental data, including relaxation curves and hysteresis loops from tympanic membrane strips.
  • Frequency-domain analysis and strain rate effects were explored using the derived material parameters.

Main Results:

  • The developed non-linear viscoelastic model successfully captured the mechanical behavior of the tympanic membrane.
  • Model outputs closely matched experimental relaxation and hysteresis data.
  • The model is applicable to large deformations at low frequencies (below ~0.6 Hz), consistent with tympanometry.

Conclusions:

  • The integrated non-linear viscoelastic model offers a significant advancement over previous models by accounting for both key mechanical properties.
  • This model provides a robust framework for simulating tympanic membrane dynamics during low-frequency loading, such as in tympanometry.
  • The findings contribute to improved computational modeling for middle ear analysis and clinical diagnostics.