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Related Concept Videos

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...
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...
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...
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...
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

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.
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...

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Production of a Strain-Measuring Device with an Improved 3D Printer
06:17

Production of a Strain-Measuring Device with an Improved 3D Printer

Published on: January 30, 2020

Recent results in nonlinear strain and modulus imaging.

Timothy J Hall1, Paul Barbone, Assad A Oberai

  • 1Medical Physics Department, University of Wisconsin, Madison, Wisconsin 53706.

Current Medical Imaging Reviews
|July 4, 2012
PubMed
Summary
This summary is machine-generated.

This study advances ultrasound imaging for cancer diagnosis by quantifying nonlinear tissue mechanics. Accurate, real-time measurements of tissue strain and elasticity are now possible for improved tumor detection and monitoring.

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Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
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Measurement of Compressive Stress-Strain Response at Small-Strains

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Related Experiment Videos

Last Updated: May 20, 2026

Production of a Strain-Measuring Device with an Improved 3D Printer
06:17

Production of a Strain-Measuring Device with an Improved 3D Printer

Published on: January 30, 2020

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
06:56

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes

Published on: May 23, 2017

Measurement of Compressive Stress-Strain Response at Small-Strains
02:58

Measurement of Compressive Stress-Strain Response at Small-Strains

Published on: December 5, 2025

Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Cancer Research

Background:

  • Clinical ultrasound imaging is crucial for cancer diagnosis and treatment monitoring.
  • Accurate quantification of in vivo tissue mechanical properties, especially nonlinear strain, is challenging but vital for improving diagnostic capabilities.

Purpose of the Study:

  • To report recent developments and the current status of imaging and quantifying in vivo nonlinear strain and tissue mechanical properties.
  • To focus on applications in cancer diagnosis and treatment using clinical ultrasound and quasi-static tissue deformations.

Main Methods:

  • Developed and reviewed advanced displacement estimation techniques from ultrasound image sequences, including cross-correlation, regularized optimization, guided search, multiscale, and hybrid methods.
  • Compared various strain estimators, highlighting the benefits of regularized optimization approaches.
  • Discussed direct and iterative methods for reconstructing tissue mechanical property distributions from strain and displacement fields, considering formulation, discretization, and algorithmic aspects.

Main Results:

  • Achieved high accuracy in both axial and lateral displacement estimations at several frames per second.
  • Demonstrated quantitative determination of nonlinear elastic properties in phantoms and in vivo using 2D models and data.
  • Successfully applied methods to breast disease diagnosis and tumor ablation monitoring.

Conclusions:

  • Current methods enable accurate, real-time quantification of nonlinear tissue mechanics using clinical ultrasound.
  • Future work will incorporate 3D data from 2D transducer arrays to create calibrated 3D quantitative maps of nonlinear elastic properties of breast tissues in vivo.