Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Elastic Strain Energy for Shearing Stresses

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...

Strain and Elastic Modulus

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...

Dynamic Modulus of Elasticity of Concrete

Dynamic Modulus of Elasticity of Concrete

The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...

Elastic Strain Energy for Normal Stresses

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...

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

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.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Simultaneous Acquisition of Magnetic Resonance Elastography (MRE) and Diffusion Tensor Imaging (DTI) Optimized for Human Brain.

Magnetic resonance in medicine·2026

Same author

Erratum: Quantifying uniaxial prestress and waveguide effects on dynamic elastography estimates for a cylindrical rod [J. Acoust. Soc. Am. 154, 3580-3594 (2023)].

The Journal of the Acoustical Society of America·2026

Same author

Along- and cross-muscle fiber shear moduli in skeletal muscle.

Journal of biomechanics·2025

Same author

Mechanical characterization of an incompressible, strain-hardening, transversely isotropic material.

Acta biomaterialia·2025

Same author

Estimating shear modulus of isotropic materials from scanning laser Doppler vibrometry via convolutional neural networks.

Journal of the mechanical behavior of biomedical materials·2025

Same author

1-Norm waveform analysis for MR elastography-based quantification of inhomogeneity: Effects of the freeze-thaw cycle and Alzheimer's disease.

Journal of the mechanical behavior of biomedical materials·2024

Search research articles

Related Experiment Video

Updated: May 18, 2026

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography

Published on: May 10, 2022

Wideband MR elastography for viscoelasticity model identification.

Temel K Yasar¹, Thomas J Royston, Richard L Magin

¹Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 W Taylor St. MC 251, Chicago, Illinois 60607, USA. tyasar2@uic.edu

Magnetic Resonance in Medicine

|September 25, 2012

Summary

This study developed new quantitative standards for MR elastography by analyzing tissue stiffness in a phantom material. Fractional order viscoelastic models provided superior accuracy across a wide frequency range, improving stiffness measurements.

Keywords:

MR elastography fractional order modeling multiple frequency MRE wideband MRE

More Related Videos

Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth

Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth

Published on: February 9, 2012

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Published on: March 1, 2024

Related Experiment Videos

Last Updated: May 18, 2026

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography

Published on: May 10, 2022

Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth

Magnetic Resonance Elastography Methodology for the Evaluation of Tissue Engineered Construct Growth

Published on: February 9, 2012

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Quantifying Elastic Properties of Environmental Biofilms using Optical Coherence Elastography

Published on: March 1, 2024

Area of Science:

Biomedical Engineering
Materials Science
Medical Imaging

Background:

Clinical use of MR elastography (MRE) necessitates improved quantitative standards for tissue stiffness measurement.
Accurate characterization of viscoelastic properties is crucial for MRE applications.

Purpose of the Study:

To develop and validate quantitative standards for measuring tissue stiffness using MR elastography.
To evaluate the performance of different viscoelastic models across a broad frequency spectrum.

Main Methods:

Investigated a soft tissue phantom (Ecoflex) over a wide frequency range (200 Hz to 7.75 kHz).
Employed geometric focusing to manage shear wave properties (wavelength, attenuation) across frequencies.
Calculated the frequency-dependent complex-valued shear modulus using axisymmetric geometry.

Main Results:

Fractional order viscoelastic models demonstrated superior fitting accuracy compared to integer order models.
Model performance varied depending on the frequency band analyzed (limited vs. entire span).
Measuring the complex-valued shear modulus over a wide frequency range enhances accuracy.

Conclusions:

Fractional order models offer enhanced capabilities for quantifying tissue viscoelasticity in MRE.
Broadband frequency measurements are advantageous for accurate shear modulus determination.
This work contributes to establishing robust quantitative standards for clinical MR elastography.