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Related Concept Videos

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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Shearing Strain01:20

Shearing Strain

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The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
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Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

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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...
704
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

669
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.
669
Strain and Elastic Modulus01:15

Strain and Elastic Modulus

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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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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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Using Digital Image Correlation to Characterize Local Strains on Vascular Tissue Specimens
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Spatially variant regularization for tissue strain measurement and shear modulus reconstruction.

Chikayoshi Sumi1

  • 1Department of Electrical and Electronics Engineering, Faculty of Science and Technology, Sophia University, 7-1 Kioicho, Chiyoda-ku, Tokyo, 102-8554, Japan. c-sumi@sophia.ac.jp.

Journal of Medical Ultrasonics (2001)
|June 10, 2016
PubMed
Summary

This study introduces spatially variant regularization parameters for improved displacement and shear modulus measurements. This method enhances measurement stability in medical imaging and phantoms.

Keywords:
displacement/strain measurementregularizationshear modulus reconstructionspatially variant regularization parameter

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Area of Science:

  • Medical imaging
  • Biomechanical engineering
  • Ultrasound elastography

Background:

  • Accurate displacement vector measurement and shear modulus reconstruction are crucial for non-invasive tissue characterization.
  • Current regularization methods often use uniform parameters, which can lead to suboptimal results due to spatially varying measurement accuracies.

Purpose of the Study:

  • To propose and validate a novel regularization scheme using spatially variant parameters for displacement and shear modulus reconstruction.
  • To address the challenge of spatially varying measurement accuracies in the region of interest.

Main Methods:

  • Implementing spatially variant regularization parameters, determined by the reciprocal of a power of the correlation coefficient derived from the cross-spectrum phase gradient method.
  • Evaluating measurement accuracies of strains using the correlation coefficient.

Main Results:

  • Achieved spatially uniform stabilities in both strain measurement and shear modulus reconstruction.
  • Demonstrated effectiveness through in vivo human liver carcinoma imaging and agar phantom experiments.
  • Successfully regularized axial strain measurement and one-dimensional (1-D) shear modulus reconstruction.

Conclusions:

  • The proposed spatially variant regularization scheme significantly improves the stability and accuracy of shear modulus reconstruction.
  • This method holds promise for enhanced quantitative assessments in medical ultrasound elastography.
  • Validated through successful application in both clinical and phantom scenarios.