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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...
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The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
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Viscoelastic parameter estimation using simulated shear wave motion and convolutional neural networks.

Luiz Vasconcelos1, Piotr Kijanka2, Matthew W Urban3

  • 1Bioinformatics and Computational Biology, University of Minnesota, Rochester, MN, USA; Department of Radiology, Mayo Clinic, Rochester, MN, USA.

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Convolutional neural networks (CNNs) can accurately estimate tissue elasticity and viscosity from ultrasound shear wave elastography (SWE) data. This AI approach shows promise as an alternative to complex mathematical methods for viscoelastic property analysis.

Keywords:
Acoustic radiation forceConvolutional neural networksMachine learningShear wave elastography (SWE)Ultrasound

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Artificial Intelligence

Background:

  • Ultrasound shear wave elastography (SWE) is valuable for assessing tissue rheology.
  • Robust evaluation of viscoelastic properties using SWE faces challenges.
  • Current methods often involve complex mathematical analyses.

Purpose of the Study:

  • To investigate the capability of convolutional neural networks (CNNs) for retrieving viscoelastic parameters from simulated SWE data.
  • To assess CNN performance against traditional Fourier-based analysis for elasticity and viscosity estimation.
  • To evaluate the robustness of CNN models to noise and varying imaging parameters.

Main Methods:

  • Generated simulated shear wave motion data using staggered-grid finite difference simulations based on a Kelvin-Voigt model.
  • Varied shear elasticity (1-25 kPa) and viscosity (0-10 Pa·s) with different push profiles (f-numbers 1 and 2).
  • Trained CNN architectures using mean squared error loss to retrieve viscoelastic parameters and compared with 2D Fourier transform analysis.

Main Results:

  • CNNs successfully retrieved both elasticity and viscosity with high accuracy (R² > 0.99).
  • CNN models demonstrated robustness to noise and vertical position, and partial robustness to f-number.
  • CNNs outperformed Fourier-based analysis in accuracy across the full viscoelastic parameter range.

Conclusions:

  • CNNs show significant potential as an alternative to complex mathematical analyses for SWE viscoelastic parameter estimation.
  • Trained CNN architectures can be robust to multiple push profiles.
  • This AI-driven approach offers a promising avenue for more accurate and potentially simpler viscoelastic tissue property analysis.