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Related Concept Videos

Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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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...
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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.
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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...
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The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
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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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Longitudinal shear wave imaging for elasticity mapping using optical coherence elastography.

Jiang Zhu1, Yusi Miao, Li Qi1

  • 1Beckman Laser Institute, University of California, Irvine, Irvine, California 92612, USA.

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Summary
This summary is machine-generated.

This study introduces a new method using optical coherence tomography to image longitudinal shear waves, enabling measurement of tissue elastic properties along the force direction. This technique complements transverse shear waves for comprehensive directional elasticity assessment.

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Soft Tissue Mechanics

Background:

  • Shear wave measurements are crucial for assessing tissue elasticity in clinical settings.
  • Traditional methods primarily measure shear modulus laterally, limiting axial elastic property determination.
  • A gap exists in characterizing directional elasticity along the force application axis.

Purpose of the Study:

  • To develop and validate a method for imaging and quantifying longitudinal shear wave propagation.
  • To measure tissue elastic properties in the axial direction using optical coherence tomography (OCT).
  • To combine transverse and longitudinal shear wave measurements for comprehensive directional elasticity assessment.

Main Methods:

  • Utilized optical coherence tomography (OCT) to visualize and track longitudinal shear wave propagation.
  • Employed experimental validation and finite element simulations to confirm wave behavior.
  • Measured wave velocity to quantify shear moduli in phantoms.

Main Results:

  • Demonstrated that longitudinal shear waves propagate as plane waves along the vibration direction in the near field.
  • Successfully quantified shear moduli in both homogeneous and side-by-side phantoms.
  • Validated the capability to measure elastic properties along the force direction.

Conclusions:

  • The developed OCT-based system enables imaging and quantification of longitudinal shear waves.
  • This method provides elastic information in the axial direction, complementing existing techniques.
  • Combining transverse and longitudinal shear wave measurements offers potential for detecting directionally dependent tissue elasticity without altering force application.