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Shearing Strain

Shearing Strain

The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...

Shearing Stress

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Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
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Related Experiment Video

Updated: May 29, 2026

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Published on: September 29, 2019

Cluster crystals under shear.

Arash Nikoubashman¹, Gerhard Kahl, Christos N Likos

¹Institute of Theoretical Physics and CMS, Vienna University of Technology, Austria.

Physical Review Letters

|September 10, 2011

Summary

This summary is machine-generated.

We discovered that overlapping colloidal crystals exhibit unique responses to steady shear, forming ordered strings that transition to a disordered fluid state at higher shear rates. Shear also accelerates crystal nucleation from supercooled fluids.

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Area of Science:

Colloidal science
Soft matter physics
Materials science

Background:

Colloidal crystals are ordered structures formed by particles in a fluid.
Understanding their response to external forces like shear is crucial for materials design.
The behavior of overlapping colloidal crystals under shear is not well-understood.

Purpose of the Study:

To investigate the response of overlapping colloidal crystals to steady shear.
To elucidate the mechanisms driving structural changes under shear.
To explore the effect of shear on nucleation rates in supercooled colloidal systems.

Main Methods:

Utilized advanced simulation techniques that accurately incorporate hydrodynamic interactions.
Analyzed the structural evolution of colloidal crystals under varying shear rates.

Main Results:

Identified a novel, universal response to steady shear in overlapping colloidal crystals.
Observed a shear-banding regime at low shear rates, followed by the formation of flow-aligned strings.
These strings ordered hexagonally in the gradient-vorticity plane, eventually leading to a disordered fluid state at higher shear due to enhanced lateral fluctuations.
Demonstrated that shear significantly accelerates the nucleation of cluster crystals from supercooled fluids.

Conclusions:

Overlapping colloidal crystals exhibit complex shear-induced phase transitions.
Hydrodynamic interactions play a critical role in the shear response and fluidization.
Shear can be leveraged to control crystallization kinetics in colloidal systems.