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Related Concept Videos

Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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...
Speed of a Transverse Wave01:13

Speed of a Transverse Wave

The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings and the wavelength determine the frequency of the sound produced. The strings on a guitar have different thicknesses but may be made of similar material. They have different linear densities, and the linear density is defined as the mass per length.
One of the key properties of any wave is the wave speed. Light...
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's first...
Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

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Shearing Stress01:18

Shearing Stress

Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
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Reflection of Waves01:07

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Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth
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Shear elasticity estimation from surface wave: the time reversal approach.

J Brum1, S Catheline, N Benech

  • 1Laboratorio de Acústica Ultrasonora, Facultad de Ciencias, Instituto de Fisica, Universidad de la Republica, Montevideo, Uruguay.

The Journal of the Acoustical Society of America
|February 12, 2009
PubMed
Summary

This study measures soft solid shear elasticity using surface wave speed. The low-cost acoustic method offers potential applications in food and medicine.

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Area of Science:

  • Materials Science
  • Biophysics
  • Acoustics

Background:

  • Assessing the shear elasticity of soft solids is crucial for various applications.
  • Traditional methods can be complex or costly.
  • A need exists for accessible and cost-effective elasticity measurement techniques.

Purpose of the Study:

  • To develop and validate a low-cost method for measuring the shear elasticity of soft solids.
  • To utilize surface wave speed estimation derived from acoustic sensing.
  • To explore the applicability of this technique in food and medical contexts.

Main Methods:

  • Generating mechanical waves using an external source.
  • Detecting waves with acoustic sensors.
  • Estimating surface wave speed via time-reversal analysis of the elastic field.
  • Validating measurements using transient elastography.

Main Results:

  • Successfully measured shear elasticity in gelatin phantoms.
  • Demonstrated the method's effectiveness in both hard and soft phantoms.
  • Confirmed results with independent transient elastography estimations.
  • Showcased potential in cheese and other soft phantoms.

Conclusions:

  • The proposed acoustic method provides a low-cost approach to shear elasticity measurement.
  • The technique is validated and shows promise for industrial and medical applications.
  • Surface wave speed estimation offers a viable alternative for soft solid characterization.