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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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Shearing Strain01:20

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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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A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...
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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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Related Experiment Video

Updated: Mar 28, 2026

Author Spotlight: Characterizing Environmental Biofilm Mechanics Using Optical Coherence Elastography and its Applications in Wastewater Treatment
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A new method for shear wave speed estimation in shear wave elastography.

Aaron J Engel, Gregory R Bashford

    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
    |December 17, 2015
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    Summary
    This summary is machine-generated.

    A new robust shear wave elastography (SWE) method accurately estimates tissue elasticity. This technique simplifies real-time processing and shows promise for noninvasive pathology diagnosis.

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    Area of Science:

    • Biomedical Engineering
    • Medical Imaging
    • Acoustic Physics

    Background:

    • Noninvasive tissue property visualization is crucial for pathology diagnosis.
    • Shear wave elastography (SWE) estimates soft tissue elasticity by measuring shear wave speed.
    • Current SWE methods can be complex for real-time applications.

    Purpose of the Study:

    • Introduce a novel, robust method for shear wave speed estimation.
    • Improve the potential for simplified continuous filtering and real-time elasticity processing.
    • Validate the method's accuracy and image quality compared to conventional techniques.

    Main Methods:

    • Generated shear waves using external mechanical excitation and high-frame-rate imaging.
    • Filtered waves propagating in separate directions and estimated shear wave speed via 1-D wave equation inversion.
    • Constructed 2-D shear wave speed maps using weighted averaging of opposite traveling wave estimates.

    Main Results:

    • Accurate shear wave speed measurements for homogeneous phantoms (5%, 7%, 9% gelatin: 1.52±0.10, 1.86±0.10, 2.37±0.15 m/s).
    • Results consistent with three conventional SWE methods and commercial texture analyzer compression tests.
    • Successfully reconstructed a 2-D speed map of an inclusion phantom with comparable image quality and variance.

    Conclusions:

    • The developed SWE method offers robust shear wave speed estimation.
    • The technique simplifies processing and holds potential for real-time elasticity mapping.
    • Further research can explore its application in clinical noninvasive pathology diagnosis.