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Related Concept Videos

Measurements of Strain01:27

Measurements of Strain

2.8K
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...
2.8K
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

683
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...
683
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

798
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...
798
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

742
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...
742
Strain and Elastic Modulus01:15

Strain and Elastic Modulus

6.4K
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...
6.4K
Transformation of Plane Strain01:12

Transformation of Plane Strain

674
When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
674

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Related Experiment Video

Updated: May 6, 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

3.6K

Phase-based direct average strain estimation for elastography.

Sharmin R Ara, Faisal Mohsin, Farzana Alam

    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
    |October 26, 2013
    PubMed
    Summary
    This summary is machine-generated.

    A novel phase-based method directly estimates axial strain using average phase, improving strain imaging continuity and accuracy. This approach enhances elastography performance for medical imaging applications.

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    Area of Science:

    • Medical imaging
    • Biomedical engineering
    • Signal processing

    Background:

    • Conventional strain estimation methods often rely on displacement fields, which can be computationally intensive and less direct.
    • Phase-based methods offer an alternative but typically require displacement calculation as an intermediate step.
    • Accurate strain estimation is crucial for quantitative elastography in diagnosing tissue abnormalities.

    Purpose of the Study:

    • To develop a direct, phase-based axial strain estimation method.
    • To improve strain continuity and accuracy in elastography.
    • To evaluate the performance of the proposed method using established quality metrics.

    Main Methods:

    • A mathematical model was developed to calculate axial strain directly from the phase of the zero-lag cross-correlation function of analytic signals.
    • An average phase function was defined using neighboring windows to ensure strain continuity.
    • The secant algorithm was employed to exploit the direct phase-strain relationship for one-step strain computation.
    • The method was validated using finite element modeling (FEM) simulation, experimental phantom data, and in vivo breast data.

    Main Results:

    • The proposed method demonstrated satisfactory performance for applied strains up to 2.5%, evaluated by elastographic signal-to-noise ratio (SNRe), elastographic contrast-to-noise ratio (CNRe), and mean structural similarity (MSSIM).
    • The method effectively accounts for lateral shift without prior strain estimation.
    • Comparative analyses showed superior strain image quality compared to other reported techniques.
    • The method successfully computed strain during both compression and relaxation phases.

    Conclusions:

    • The developed phase-based direct average strain estimation method offers a more efficient and accurate approach to strain imaging.
    • This technique enhances the quality of elastographic images, potentially improving diagnostic capabilities for conditions like breast masses.
    • The method's ability to maintain strain continuity and handle lateral shifts makes it a valuable advancement in ultrasound elastography.