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Related Concept Videos

Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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...
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

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...
Measurements of Strain01:27

Measurements of Strain

Strain quantifies the deformation of a material under force, typically measured as normal strain, which represents the change in length when compared with the original length. Electrical strain gauges are used for enhanced accuracy. These devices consist of a conductive wire mounted on a paper backing that adheres to the material's surface. These gauges operate on the piezoresistive effect, where the wire's electrical resistance changes in response to mechanical deformation. The strain gauge...
Strain and Elastic Modulus01:15

Strain and Elastic Modulus

The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...

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Related Experiment Video

Updated: Jun 22, 2026

Measuring Local Tissue Strains in Tendons via Open-Source Digital Image Correlation
07:50

Measuring Local Tissue Strains in Tendons via Open-Source Digital Image Correlation

Published on: January 27, 2023

A 2D strain estimator with numerical optimization method for soft-tissue elastography.

Ke Liu1, Pengfei Zhang, Jinhua Shao

  • 1Department of Biomedical Engineering, Tsinghua University, Beijing 100084, China.

Ultrasonics
|June 30, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a new method for elastography using numerical optimization, improving accuracy in detecting tissue abnormalities. The novel approach enhances signal-to-noise ratio and contrast-to-noise ratio for better strain estimation.

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Manufacturing Abdominal Aorta Hydrogel Tissue-Mimicking Phantoms for Ultrasound Elastography Validation
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Manufacturing Abdominal Aorta Hydrogel Tissue-Mimicking Phantoms for Ultrasound Elastography Validation

Published on: September 19, 2018

Area of Science:

  • Biomedical Imaging
  • Medical Physics
  • Diagnostic Techniques

Background:

  • Elastography is a bioelasticity imaging technique for detecting tissue abnormalities.
  • Conventional elastography uses cross-correlation for displacement estimation, which can be limited by signal decorrelation during compression.
  • This decorrelation can constrain accurate displacement and strain profile calculations.

Purpose of the Study:

  • To propose a novel radio frequency (RF) signal registration strain estimator for elastography.
  • To incorporate image registration principles into elastography using numerical optimization.
  • To evaluate the performance of the proposed Numerical Optimization Method with Powell Algorithm (NOMPA) against conventional methods.

Main Methods:

  • Developed a strain estimator based on minimizing a cost function using the Powell numerical optimization algorithm (NOMPA).
  • Applied NOMPA to simulated data of a hard inclusion in a homogeneous background.
  • Validated the method using in vitro experiments on porcine liver with induced lesions.

Main Results:

  • NOMPA simultaneously estimates displacement and strain profiles.
  • NOMPA achieved significantly higher signal-to-noise ratio (SNR) and contrast-to-noise ratio (CNR) compared to the cross-correlation method in simulations (SNR: 32.6+/-1.5 dB vs. 23.8+/-1.1 dB; CNR: 28.8+/-1.8 dB vs. 21.7+/-0.9 dB).
  • In vitro experiments confirmed NOMPA's superior anti-noise performance and target detectability.

Conclusions:

  • NOMPA offers improved accuracy and robustness in strain estimation for elastography.
  • The method demonstrates better anti-noise capabilities and target detectability than traditional cross-correlation techniques.
  • Despite higher computational cost, NOMPA shows potential for 2D strain estimation in elastography.