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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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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography
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Algorithms for quantitative quasi-static elasticity imaging using force data.

Mohit Tyagi1, Sevan Goenezen, Paul E Barbone

  • 1Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY, 12180, U.S.A.

International Journal for Numerical Methods in Biomedical Engineering
|July 31, 2014
PubMed
Summary
This summary is machine-generated.

This study presents two methods to calibrate tissue elasticity imaging by incorporating applied force data. These techniques enable more accurate quantitative elastic modulus reconstructions for improved disease diagnosis.

Keywords:
biomechanical imagingelasticity imagingforce dataquantitative modulus images

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Computational Mechanics

Background:

  • Quasi-static elasticity imaging reconstructs tissue shear modulus from displacement fields.
  • Accurate quantitative elastic modulus is crucial for disease diagnosis.
  • Current methods lack calibration due to unknown applied forces.

Purpose of the Study:

  • To develop and validate methods for calibrating quantitative elastic modulus reconstructions.
  • To incorporate applied force data for accurate shear modulus determination.
  • To improve the diagnostic capabilities of elasticity imaging.

Main Methods:

  • Developed two calibration methods using applied boundary force data.
  • Method 1: Rescaling shear modulus to match measured force data.
  • Method 2: Incorporating a force-matching term and log of shear modulus optimization.

Main Results:

  • Both presented methods successfully calibrate quantitative elastic modulus reconstructions.
  • Method 1 offers simple implementation but ignores traction distribution.
  • Method 2 provides a more comprehensive approach by including force matching and log-transforming shear modulus.
  • Numerical results demonstrate the effectiveness of both approaches.

Conclusions:

  • Calibrating quasi-static elasticity imaging with applied force data enhances quantitative accuracy.
  • The presented methods offer practical solutions for improving elasticity imaging in clinical settings.
  • Accurate elastic modulus mapping aids in the early detection and characterization of diseases affecting tissue mechanics.