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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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Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

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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...
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Transformation of Plane Strain01:12

Transformation of Plane Strain

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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.
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Measurements of Strain01:27

Measurements of Strain

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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...
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Strain and Elastic Modulus01:15

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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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Three-Dimensional Analysis of Strain01:29

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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...
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Related Experiment Video

Updated: Aug 4, 2025

Measuring Local Tissue Strains in Tendons via Open-Source Digital Image Correlation
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Lateral Strain Imaging Using Self-Supervised and Physically Inspired Constraints in Unsupervised Regularized

Ali K Z Tehrani, Md Ashikuzzaman, Hassan Rivaz

    IEEE Transactions on Medical Imaging
    |April 4, 2023
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces novel methods to improve lateral strain estimation in ultrasound elastography (USE). The Physically Inspired ConsTraint for Unsupervised Regularized Elastography (PICTURE) and self-supervised PICTURE (sPICTURE) accurately estimate both axial and lateral strain maps.

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    Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
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    Area of Science:

    • Medical Imaging
    • Biomedical Engineering
    • Computational Physics

    Background:

    • Convolutional Neural Networks (CNNs) show promise for displacement estimation in Ultrasound Elastography (USE).
    • Estimating lateral strain in USE is challenging due to lower motion, sampling frequency, and lack of carrier signal compared to axial direction.
    • Tissue motion in USE is governed by physics, linking axial and lateral displacements, unlike independent motions in computer vision.

    Purpose of the Study:

    • To improve lateral strain estimation in Ultrasound Elastography (USE).
    • To develop physically constrained and self-supervised methods for enhanced strain imaging.
    • To validate the accuracy of proposed methods on diverse datasets.

    Main Methods:

    • Proposed Physically Inspired ConsTraint for Unsupervised Regularized Elastography (PICTURE) by imposing an Effective Poisson's ratio (EPR) constraint.
    • Introduced self-supervised PICTURE (sPICTURE) to further refine strain image estimation.
    • Validated methods using simulation, experimental phantom, and in vivo data.

    Main Results:

    • PICTURE and sPICTURE significantly improve lateral strain estimation accuracy.
    • The methods provide accurate estimation of both axial and lateral strain maps.
    • Experimental results demonstrate the effectiveness across different data types.

    Conclusions:

    • The proposed PICTURE and sPICTURE methods offer a robust solution for accurate lateral strain estimation in USE.
    • These advancements are crucial for downstream tasks like inverse elasticity imaging.
    • The physically inspired constraints enhance the reliability of ultrasound elastography.