Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Excess Pressure Inside a Drop and a Bubble01:13

Excess Pressure Inside a Drop and a Bubble

The shape of a small drop of liquid can be considered spherical, neglecting the effect of gravity. This drop can further be considered as two equal hemispherical drops put together due to surface tension. The forces acting on the spherical drop are due to the pressure of the liquid inside the drop, the pressure due to air outside the drop, and the force due to the surface tension acting on the two hemispherical drops.
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Ideal Solutions02:24

Ideal Solutions

According to Raoult’s law, the partial vapor pressure of a solvent in a solution is equal or identical to the vapor pressure of the pure solvent multiplied by its mole fraction in the solution. However, Raoult's Law is only valid for ideal solutions. For a solution to be ideal, the solvent-solute interaction must be just as strong as a solvent-solvent or solute-solute interaction. This suggests that both the solute and the solvent would use the same amount of energy to escape to the vapor phase...
Nonideal Two-Component Liquid Solutions01:29

Nonideal Two-Component Liquid Solutions

Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...
Clausius-Clapeyron Equation02:35

Clausius-Clapeyron Equation

The equilibrium between a liquid and its vapor depends on the temperature of the system; a rise in temperature causes a corresponding rise in the vapor pressure of its liquid. The Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure (P) and its temperature (T); it predicts the rate at which vapor pressure increases per unit increase in temperature.
Euler's Equations of Motion01:28

Euler's Equations of Motion

In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains uniform across...

You might also read

Related Articles

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

Sort by
Same author

Nanoporosity boosts irradiation-induced dynamics in silica.

Materials advances·2026
Same author

Mechanical properties, polymerization, and humidity effects on the egg glue of the Southern green stink bug, Nezara viridula L. (Hemiptera: Pentatomidae).

Acta biomaterialia·2026
Same author

Electron-ion equilibration in superheated gold.

Nature communications·2026
Same author

Tailoring the Melting and Glass Transition Behavior of Zeolitic Imidazolate Frameworks via Ammonium Halide Salts.

Small (Weinheim an der Bergstrasse, Germany)·2026
Same author

Advancing Italian biophysics: insights from the 27th SIBPA congress.

European biophysics journal : EBJ·2026
Same author

Johari-Goldstein relaxation in quenched and irradiated chalcogenide glasses.

Newton ((New York, N.Y.)·2026

Related Experiment Video

Updated: Jul 4, 2026

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
10:28

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

Published on: January 3, 2014

Cauchy relation in relaxing liquids.

Daniele Fioretto1, Silvia Corezzi, Silvia Caponi

  • 1CNISM-Dipartimento di Fisica, Università di Perugia, via Pascoli, I-06123 Perugia, Italy. fioretto@fisica.unipg.it

The Journal of Chemical Physics
|June 10, 2008
PubMed
Summary

A new Cauchy-like relation M = A + 3G for elastic moduli was found in viscoelastic liquids. This study confirms its validity for both high-frequency limits and finite frequencies in epoxy and glass systems.

More Related Videos

The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
08:50

The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

Related Experiment Videos

Last Updated: Jul 4, 2026

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
10:28

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

Published on: January 3, 2014

The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
08:50

The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

Area of Science:

  • Materials Science
  • Rheology
  • Condensed Matter Physics

Background:

  • Viscoelastic liquids exhibit frequency-dependent mechanical properties.
  • A Cauchy-like relation (M = A + BG) was previously observed for high-frequency moduli (M(infinity), G(infinity)) in these systems, with B ≈ 3.
  • Understanding these relationships is crucial for predicting material behavior under dynamic conditions.

Purpose of the Study:

  • To investigate the validity of the Cauchy-like relation for the real part of elastic moduli at finite frequencies.
  • To examine the relationship between the relaxation strengths of longitudinal (M) and shear (G) moduli.
  • To provide experimental evidence for these relations in specific material systems.

Main Methods:

  • Utilized Brillouin scattering spectroscopy to measure the dynamic moduli of materials.
  • Investigated curing epoxy systems and thermal glass formers.
  • Analyzed the real parts of the longitudinal modulus (M') and shear modulus (G') at finite frequencies.

Main Results:

  • Experimental data support the Cauchy-like relation M' = A + BG' for the real parts of elastic moduli at finite frequencies.
  • The constant B was found to be approximately 3, consistent with previous high-frequency observations.
  • Evidence suggests the validity of a pure Cauchy relation, ΔM = 3ΔG, for the relaxation strengths of longitudinal and shear moduli.

Conclusions:

  • The Cauchy-like relation M = A + 3G extends beyond high-frequency limits to finite frequencies in viscoelastic materials.
  • The relaxation strengths of longitudinal and shear moduli are directly related (ΔM = 3ΔG).
  • These findings offer a unified understanding of elastic moduli behavior in relaxing liquids and polymers.