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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...
311

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Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
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The Revisited Frequency-Shift Method for Shear Wave Attenuation Computation and Imaging.

Ladan Yazdani, Manish Bhatt, Iman Rafati

    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
    |April 11, 2022
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    Summary

    A new revisited frequency shift (R-FS) method enhances ultrasound shear wave elastography for robust tissue viscosity imaging. This improved method significantly reduces variations and errors compared to existing techniques in simulations and in vivo studies.

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    Area of Science:

    • Medical Imaging
    • Biophysics
    • Acoustics

    Background:

    • Ultrasound (US) shear wave (SW) elastography is established for assessing tissue elasticity.
    • Imaging SW attenuation, which reflects tissue viscosity, is less explored.
    • Current methods for SW attenuation imaging face challenges with robustness and noise.

    Purpose of the Study:

    • To propose and validate a revisited frequency shift (R-FS) method for improved SW attenuation imaging.
    • To enhance the robustness of viscosity property assessment in tissues.
    • To compare the performance of R-FS against existing FS, 2P-FS, and AMUSE methods.

    Main Methods:

    • The R-FS method models the gamma distribution shape parameter as distance-dependent.
    • An adaptive random sample consensus (A-RANSAC) line fitting is employed to mitigate outlier attenuation values.
    • Validation involved simulated phantoms with varying viscosities and noise, experimental gel phantoms, and in vivo duck liver acquisitions.

    Main Results:

    • R-FS demonstrated significant reductions in the coefficient of variation (CV): 62.6% vs. FS (simulations), 62.5% vs. FS (phantoms), and 62.3% vs. FS (in vivo).
    • Compared to 2P-FS, R-FS showed CV reductions of 45.4% (simulations), 77.1% (phantoms), and 62.0% (in vivo).
    • Normalized root-mean-square errors were reduced by 63.9% vs. FS and 48.7% vs. 2P-FS in simulations.

    Conclusions:

    • The proposed R-FS method offers a more robust approach to ultrasound shear wave elastography for tissue viscosity imaging.
    • R-FS significantly outperforms FS and 2P-FS in reducing variability and errors across diverse experimental conditions.
    • This advancement holds promise for more accurate non-invasive assessment of tissue viscous properties.