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

Travelling Waves01:04

Travelling Waves

A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is water;...
Sound as Pressure Waves01:17

Sound as Pressure Waves

Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Partial Differential Equations01:21

Partial Differential Equations

A stone dropped into a still pond generates waves that propagate outward in circular patterns, creating a dynamic surface whose elevation depends on both position and time. At any given location, the water level oscillates as the wave passes, while at any fixed moment, the surface exhibits smooth, curved structures extending across space. This dual dependence requires a mathematical description that accounts for variation in multiple variables simultaneously.At a fixed point on the water...
Speed of Sound in Solids and Liquids00:51

Speed of Sound in Solids and Liquids

Most solids and liquids are incompressible—their densities remain constant throughout. In the presence of an external force, the molecules tend to restore to their original positions, which is only possible because the constituents interact. The interactions help the constituents pass on information about external disturbances, like sound waves. Therefore, sound waves travel faster through these media. Compared to solids, the constituents in a liquid are less tightly bound. Thus, sound waves...
Velocity and Acceleration of a Wave00:51

Velocity and Acceleration of a Wave

A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which is not constant. In addition, the velocity of the medium is perpendicular to the velocity of the wave. The variable speed of the particles of the medium implies that there must be acceleration associated with it. 
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time. We can...
Shock Waves01:16

Shock Waves

While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high pressures...

You might also read

Related Articles

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

Sort by
Same author

Acoustic radiation force exerted by progressive waves on subwavelength inhomogeneous scatterers.

The Journal of the Acoustical Society of America·2026
Same author

The effects of fitness self-testing with instant feedback on changes in health-related fitness among Chinese male college students.

PloS one·2026
Same author

Spherical wave expansion coefficients for radiation from a planar velocity source.

JASA express letters·2025
Same author

An alternative approach to modeling radiation from baffled circular pistons (L).

The Journal of the Acoustical Society of America·2025
Same author

Use of intrinsic coordinates to simulate the evolution of shocks in multirelaxing fluids.

The Journal of the Acoustical Society of America·2025
Same author

The nonlinearity parameter B/A.

The Journal of the Acoustical Society of America·2025

Related Experiment Video

Updated: Jul 15, 2026

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

Nonlinear surface waves in soft, weakly compressible elastic media.

Evgenia A Zabolotskaya1, Yurii A Ilinskii, Mark F Hamilton

  • 1Applied Research Laboratories, The University of Texas, Austin 78713-8029, USA.

The Journal of the Acoustical Society of America
|May 3, 2007
PubMed
Summary

This study models nonlinear surface waves in soft elastic tissues. Waveform distortion depends on shear modulus and viscosity, offering insights into wave propagation in biological media.

More Related Videos

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography
04:51

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Published on: March 1, 2024

Related Experiment Videos

Last Updated: Jul 15, 2026

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

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography
04:51

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Published on: March 1, 2024

Area of Science:

  • Acoustics
  • Solid Mechanics
  • Biophysics

Background:

  • Nonlinear surface waves are crucial for understanding wave propagation in elastic materials.
  • Previous models exist for arbitrary isotropic and incompressible elastic media.

Purpose of the Study:

  • To theoretically investigate nonlinear surface waves in soft, weakly compressible elastic media.
  • To focus on wave propagation characteristics within tissue-like materials.

Main Methods:

  • Developed a model as a limiting case of Zabolotskaya's theory for nonlinear surface waves.
  • Ensured consistency with Fu and Devenish's results for incompressible isotropic elastic media.
  • Utilized simulations to analyze wave propagation in tissue models.

Main Results:

  • Quadratic nonlinearity is independent of third-order elastic constants.
  • Quadratic nonlinearity is inversely proportional to the shear modulus.
  • The Gol'dberg number depends on the square root of shear modulus and inverse shear viscosity.

Conclusions:

  • The derived model accurately describes nonlinear surface wave propagation in soft elastic tissues.
  • Findings provide a theoretical framework for analyzing wave distortion in biological tissues.
  • The study highlights the influence of material properties like shear modulus and viscosity on wave behavior.