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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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Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

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Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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Shearing Strain01:20

Shearing Strain

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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 Stress01:19

Shearing Stress

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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.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
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Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

568
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...
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Related Experiment Video

Updated: Feb 23, 2026

Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth
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Thee-Dimensional Single-Track-Location Shear Wave Elasticity Imaging.

Peter Hollender, Samantha L Lipman, Gregg E Trahey

    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
    |September 9, 2017
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    Summary

    A new 3-D single-track-location shear wave elasticity imaging (STL-SWEI) system overcomes ultrasound speckle limitations. This novel approach enhances resolution and accuracy for noninvasive tissue elasticity estimation.

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    Area of Science:

    • Medical Imaging
    • Biomedical Engineering
    • Ultrasound Technology

    Background:

    • Conventional multiple-track-location shear wave elasticity imaging (MTL-SWEI) is limited by ultrasound speckle, affecting resolution and noise.
    • Speckle-induced bias hinders accurate noninvasive tissue elasticity measurements.

    Purpose of the Study:

    • To introduce and evaluate a novel 3-D single-track-location shear wave elasticity imaging (STL-SWEI) system.
    • To demonstrate the system's ability to suppress speckle bias for high-resolution volumetric imaging.

    Main Methods:

    • Development of a 3-D STL-SWEI system.
    • Fixing the tracking beam position and modulating the push location to cancel speckle-induced bias.
    • Testing system performance in homogeneous and layered elasticity phantoms.

    Main Results:

    • The 3-D STL-SWEI system achieved full suppression of lateral and elevation speckle bias.
    • High-resolution volumetric elasticity imaging was demonstrated.
    • Accurate shear wave speed measurements were obtained without spatial smoothing.

    Conclusions:

    • The 3-D STL-SWEI system offers a significant advancement in ultrasound-based elasticity imaging.
    • This technology enables more precise and reliable noninvasive assessment of tissue mechanical properties.