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Related Concept Videos

Shock Waves01:16

Shock Waves

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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...
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Sound as Pressure Waves01:17

Sound as Pressure Waves

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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...
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Travelling Waves01:04

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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...
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Sound Waves01:01

Sound Waves

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Sound waves can be thought of as fluctuations in the pressure of a medium through which they propagate. Since the pressure also makes the medium's particles vibrate along its direction of motion, the waves can be modeled as the displacement of the medium's particles from their mean position.
Sound waves are longitudinal in most fluids because fluids cannot sustain any lateral pressure. In solids, however, shear forces help in propagating the disturbance in the lateral direction as well....
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Speed of Sound in Solids and Liquids00:51

Speed of Sound in Solids and Liquids

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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...
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Unsoundness of Aggregate due to Volume Change01:26

Unsoundness of Aggregate due to Volume Change

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Unsoundness in aggregates due to volume changes is primarily caused by the physical alterations aggregates undergo, such as freezing and thawing, thermal changes, and wetting and drying. Unsound aggregates, when subjected to these changes, result in volume change upon disintegration. This, in turn, contributes to the deterioration of concrete, including scaling, pop-outs, and cracking. Particular types of aggregates, such as porous flints, cherts, and those containing clay minerals, are...
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Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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Shock waves in weakly compressed granular media.

Siet van den Wildenberg1, Rogier van Loo, Martin van Hecke

  • 1Kamerling Onnes Lab, Universiteit Leiden, Postbus 9504, 2300 RA Leiden, The Netherlands.

Physical Review Letters
|December 10, 2013
PubMed
Summary
This summary is machine-generated.

Researchers studied nonlinear wave propagation in granular media, finding a transition from sound to shock waves with increasing impact. This behavior, including shock speed and attenuation, offers insights into granular material dynamics.

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Area of Science:

  • Physics
  • Materials Science
  • Geophysics

Background:

  • Nonlinear wave propagation in granular media is complex.
  • Understanding shock wave formation and behavior is crucial for various applications.

Purpose of the Study:

  • To experimentally investigate nonlinear wave propagation in weakly compressed granular media.
  • To characterize the transition from sound waves to shock waves under varying impact and confining pressures.

Main Methods:

  • Experimental probing of wave propagation.
  • Analysis of wave behavior at different impact levels and confining pressures (P0).
  • Modeling of shock wave attenuation and energy balance.

Main Results:

  • Observed a crossover from quasilinear sound waves to shock waves with increasing impact.
  • Crossover impact increases with confining pressure (P0), while shock speed remains independent of P0.
  • Shocks exhibit power-law attenuation modeled by a logarithmic law, indicating weak dissipation.
  • Demonstrated elastic and potential energy balance in the shock wave's leading part.

Conclusions:

  • The study confirms key predictions for granular shocks.
  • Granular shock dissipation is weak and distinct from other mechanisms.
  • Findings advance the understanding of wave dynamics in compressed granular materials.