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

Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as the...
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...
Types of Fluids01:27

Types of Fluids

Fluids can be classified into Newtonian and non-Newtonian fluids based on their response to shear stress. Newtonian fluids have a linear relationship between shear stress and the shear strain rate, following Newton's law of viscosity. Their viscosity remains constant regardless of the shear rate, making their behavior predictable and easier to analyze. Common examples include water, air, oil, and gasoline.
In contrast, non-Newtonian fluids do not follow Newton's law of viscosity, and their...
Stress-Strain Diagram - Ductile Materials01:24

Stress-Strain Diagram - Ductile Materials

The stress-strain relationship in ductile materials such as structural steel or aluminium is intricate and progresses through several stages. When a specimen is loaded, it initially exhibits a linear length increase, depicted by a steep straight line on the stress-strain diagram. It indicates the material is elastically deforming and will return to its original shape once unloaded. However, when a critical stress value is reached, plastic deformation begins. This stage sees substantial...
Plastic Deformations01:14

Plastic Deformations

It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
Plastic Deformations01:19

Plastic Deformations

Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their original...

You might also read

Related Articles

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

Sort by
Same author

Viscoelasticity and elastoplasticity in the power law creep and yielding of gels and fibre network materials under stress.

Soft matter·2026
Same author

Elastic Turbulence in Highly Entangled Polymers and Wormlike Micelles.

Physical review letters·2026
Same author

Toughness of Double Network Hydrogels: The Role of Reduced Stress Propagation.

Physical review letters·2025
Same author

Ultradelayed material failure via shear banding after straining an amorphous material.

Physical review. E·2025
Same author

Nonmonotonic Constitutive Curves and Shear Banding in Dry and Wet Granular Flows.

Physical review letters·2025
Same author

Discontinuous Shear Thickening in Biological Tissue Rheology.

Physical review. X·2024
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: May 25, 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

Criterion for extensional necking instability in polymeric fluids.

Suzanne M Fielding1

  • 1Department of Physics, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, United Kingdom. suzanne.fielding@durham.ac.uk

Physical Review Letters
|January 17, 2012
PubMed
Summary
This summary is machine-generated.

We found that polymer fluid necking instability is linked to molecular strain curvature, not the Considère criterion. Polymer chain stretching helps mitigate this necking phenomenon.

More Related Videos

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids
10:09

Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids

Published on: March 5, 2014

Related Experiment Videos

Last Updated: May 25, 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

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids
10:09

Fast Imaging Technique to Study Drop Impact Dynamics of Non-Newtonian Fluids

Published on: March 5, 2014

Area of Science:

  • Rheology
  • Polymer physics
  • Fluid dynamics

Background:

  • Necking instability is a critical phenomenon in polymer processing.
  • The Considère criterion is a traditional but often insufficient predictor of necking onset.
  • Understanding necking is crucial for controlling material behavior during extension.

Purpose of the Study:

  • To investigate the linear instability leading to necking in uniaxially extending polymer fluid filaments.
  • To identify a more accurate predictor for the onset of necking than the Considère criterion.
  • To explore the role of polymer chain stretching in mitigating necking.

Main Methods:

  • Numerical simulations across five common polymer rheology models.
  • Analytical calculations to generalize findings.
  • Analysis of the molecular strain evolution during uniaxial extension.

Main Results:

  • The onset of necking instability correlates with the downward curvature in the zz component of molecular strain.
  • This finding holds true across various polymer rheology models.
  • Polymer chain stretching was observed to partially reduce the severity of necking.

Conclusions:

  • The curvature of molecular strain provides a more accurate indicator of necking onset than the Considère criterion.
  • The study highlights the significance of polymer chain dynamics in material failure.
  • Results offer new insights into predicting and controlling polymer filament stability.