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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...

Problem Solving on Stress and Strain

Problem Solving on Stress and Strain

Stress is a quantity that describes the magnitude of a force that causes deformation, generally defined as internal force per unit area. When forces pull on an object and cause its elongation, like the stretching of an elastic band, it is called tensile stress. When forces cause the compression of an object, it is known as compressive stress. When an object is being squeezed uniformly from all sides, like a submarine in the depths of the ocean, we call this kind of stress bulk stress (or volume...

Shearing Stresses in a Beam: Problem Solving

Shearing Stresses in a Beam: Problem Solving

A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...

Shearing Stress

Shearing Stress

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.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.

Relation Between the Distributed Load and Shear

Relation Between the Distributed Load and Shear

Understanding the relationship between the distributed load and shear force in structural analysis is crucial for analyzing beams subjected to various loading conditions. Consider the case of a beam experiencing a distributed load, two concentrated loads, and a couple moment.

Newtonian Fluid: Problem Solving

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...

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Related Experiment Video

Updated: May 13, 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

Shearing instability of a dilute granular mixture.

J Javier Brey¹, M J Ruiz-Montero

¹Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, E-41080, Sevilla, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 19, 2013

Summary

The shearing instability in granular mixtures shows a divergent velocity mode, similar to single-component systems. This finding, validated by simulations, suggests universal behavior in phase transitions.

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Last Updated: May 13, 2026

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

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Challenges in Rheological Characterization of Highly Concentrated Suspensions — A Case Study for Screen-printing Silver Pastes

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Published on: April 10, 2017

Area of Science:

Physics
Materials Science
Statistical Mechanics

Background:

Investigating the shearing instability in granular flows is crucial for understanding complex fluid dynamics.
Dilute granular mixtures of smooth inelastic hard spheres or disks present unique challenges due to particle interactions.

Purpose of the Study:

To analyze the shearing instability in dilute granular mixtures.
To compare theoretical predictions with simulation results for critical system sizes.

Main Methods:

Utilizing Navier-Stokes hydrodynamic equations for theoretical analysis.
Employing direct Monte Carlo simulations of Boltzmann equations for validation.

Main Results:

The scaled transversal velocity mode exhibits divergent behavior, mirroring one-component systems.
Theoretical predictions for critical size show good agreement with simulation data.
Energy fluctuations scale with the second moment of the distribution near the transition.

Conclusions:

The study confirms a divergent velocity mode in granular mixtures under shear.
Observed scaling distribution functions suggest universal behavior in phase transitions.
Findings contribute to the understanding of complex systems and universality in physics.