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Related Concept Videos

Shearing Stress01:19

Shearing Stress

1.9K
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.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
1.9K
Shearing Strain01:20

Shearing Strain

1.4K
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...
1.4K
Shear Diagram01:27

Shear Diagram

1.6K
In the study of beam mechanics, shear diagrams play a crucial role in understanding the distribution of shear forces along the length of a beam. Consider a beam AB that is supported at both ends and subjected to perpendicular loads.
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
1.6K
Singularity Functions for Shear01:26

Singularity Functions for Shear

440
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
440
Normal and Shear Force01:14

Normal and Shear Force

3.3K
When a beam is subjected to different loads, such as weight, pressure, or other external forces, internal forces are generated within the beam. These forces can have a significant impact on the overall stability and strength of the structure. Engineers use various methods to analyze and determine the magnitude and direction of these internal forces. One common technique used to determine internal forces in beams is the method of sections. This method involves considering an imaginary point or...
3.3K
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

524
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...
524

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Related Experiment Video

Updated: Jan 28, 2026

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography
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Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography

Published on: May 10, 2022

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Soft tissue elastography via shearing interferometry.

Dominic Buchta1, Hüseyin Serbes1, Daniel Claus1

  • 1University of Stuttgart, Institut für Technische Optik, Stuttgart, Germany.

Journal of Medical Imaging (Bellingham, Wash.)
|March 7, 2019
PubMed
Summary
This summary is machine-generated.

Shearing elastography recovers elastic properties to detect hidden cancerous tissues. This technique improves cancer detection accuracy and localization, even beneath the surface, aiding minimally invasive surgery.

Keywords:
cancer detectionelastographyinterferometryminimally invasive surgeryshearography

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Surgical Technology

Background:

  • Early cancer detection significantly improves patient survival rates.
  • Traditional palpation is limited in minimally invasive surgery due to the loss of tactile feedback.
  • Need for advanced imaging techniques to detect subsurface abnormalities.

Purpose of the Study:

  • To demonstrate the capability of shearing elastography in recovering elastic parameters.
  • To show how shearing elastography can localize stiffness inhomogeneities beneath the surface.
  • To investigate the impact of inhomogeneity size and depth on detection accuracy and localization.

Main Methods:

  • Application of shearing elastography to assess tissue elasticity.
  • Analysis of recovered elastic parameters to identify abnormalities.
  • Systematic investigation of detection and localization accuracy based on varying inhomogeneity sizes and depths.

Main Results:

  • Shearing elastography successfully recovers elastic parameters of tissues.
  • The technique effectively localizes stiffness inhomogeneities, including those hidden under the surface.
  • Detection accuracy and localization are influenced by the size and depth of the stiffness variations.

Conclusions:

  • Shearing elastography is a viable method for detecting and localizing subsurface stiffness changes.
  • This technique can compensate for the loss of tactile sensation in minimally invasive surgery.
  • Further research can optimize shearing elastography for enhanced cancer detection in surgical settings.