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

Plastic Behavior01:21

Plastic Behavior

809
A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
809
Elasticity01:12

Elasticity

4.0K
Elasticity is the ability of an object to withstand the effects of distortion and to return to its original size and shape once the forces causing deformation are removed. When an elastic material deforms under the action of an external force, it experiences internal resistance to the deformation. However, if no external force is applied, it returns to its original state.
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
4.0K
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

823
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.
823
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

667
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...
667
Strain and Elastic Modulus01:15

Strain and Elastic Modulus

6.3K
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...
6.3K
Polymer Classification: Crystallinity01:21

Polymer Classification: Crystallinity

3.1K
Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
3.1K

You might also read

Related Articles

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

Sort by
Same author

Whole organism 3D mapping reveals universal branching topology and biophysical optimization governs vascular and nervous system development.

bioRxiv : the preprint server for biology·2026
Same author

Short-range depinning in the presence of velocity weakening.

Physical review. E·2026
Same author

Scaling laws and representation learning in simple hierarchical languages: Transformers versus convolutional architectures.

Physical review. E·2026
Same author

Yielding and Memory in a Driven Mean-Field Model of Glasses.

Physical review letters·2026
Same author

Hierarchical self-assembly for high-yield addressable complexity at fixed conditions.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

The strain-stiffening critical exponents in polymer networks and their universality.

The Journal of chemical physics·2025

Related Experiment Video

Updated: Apr 28, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

12.6K

Breakdown of continuum elasticity in amorphous solids.

Edan Lerner1, Eric DeGiuli, Gustavo Düring

  • 1New York University, Center for Soft Matter Research, 4 Washington Place, New York, NY 10003, USA. mw135@nyu.edu.

Soft Matter
|June 7, 2014
PubMed
Summary

We numerically show that amorphous solids exhibit a diverging lengthscale near unjamming, contrary to prior claims. Internal stresses further amplify this lengthscale, indicating instability at critical stress levels.

More Related Videos

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
13:04

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation

Published on: January 18, 2022

4.5K
Quantitative Hardness Measurement by Instrumented AFM-indentation
08:21

Quantitative Hardness Measurement by Instrumented AFM-indentation

Published on: November 22, 2016

9.2K

Related Experiment Videos

Last Updated: Apr 28, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

12.6K
Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
13:04

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation

Published on: January 18, 2022

4.5K
Quantitative Hardness Measurement by Instrumented AFM-indentation
08:21

Quantitative Hardness Measurement by Instrumented AFM-indentation

Published on: November 22, 2016

9.2K

Area of Science:

  • Solid Mechanics
  • Disordered Materials Physics
  • Computational Physics

Background:

  • Amorphous solids like elastic networks and particle packings possess unique mechanical responses.
  • Understanding the behavior of these materials under stress is crucial for material science applications.
  • Previous numerical studies have suggested different scaling behaviors for amorphous solids.

Purpose of the Study:

  • To numerically investigate the response of amorphous solids to local force dipoles.
  • To characterize the emergent lengthscale (lc) near the unjamming transition.
  • To explore the influence of internal stresses on this lengthscale.

Main Methods:

  • Numerical simulations of simple amorphous solids (elastic networks, particle packings).
  • Analysis of the system's response to a local force dipole.
  • Examination of the relationship between coordination number (z), spatial dimension (d), and the lengthscale (lc).
  • Investigation of the effect of internal stresses and critical stress (pc).

Main Results:

  • A lengthscale (lc) diverges as unjamming is approached, following lc ∼ (z - 2d)(-1/2).
  • This finding contradicts previous numerical claims regarding the scaling behavior.
  • Internal stresses amplify the magnitude of lc.
  • A suggested divergence lc ∼ (pc - p)(-1/4) near a critical internal stress (pc) where soft modes become unstable.

Conclusions:

  • The unjamming transition in amorphous solids is characterized by a diverging lengthscale with a specific scaling law.
  • Internal stresses play a significant role in modifying this lengthscale and can lead to instability.
  • The study provides new numerical insights into the mechanical properties of disordered solids.