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Related Concept Videos

Shearing Stress01:18

Shearing Stress

2.2K
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.
2.2K
Shearing Strain01:20

Shearing Strain

1.6K
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...
1.6K
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

640
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
640
Relation Between the Distributed Load and Shear01:23

Relation Between the Distributed Load and Shear

1.2K
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.
1.2K
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

557
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...
557
Singularity Functions for Shear01:26

Singularity Functions for Shear

465
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
465

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Updated: Mar 3, 2026

Generation of Shear Adhesion Map Using SynVivo Synthetic Microvascular Networks
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Generation of Shear Adhesion Map Using SynVivo Synthetic Microvascular Networks

Published on: May 25, 2014

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Localized shear generates three-dimensional transport.

Lachlan D Smith1, Murray Rudman1, Daniel R Lester2

  • 1Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia.

Chaos (Woodbury, N.Y.)
|May 1, 2017
PubMed
Summary
This summary is machine-generated.

A new mechanism for rapid 3D fluid transport was discovered. Fluid particles jump between streamlines near localized shear, enabling faster transport than Resonance Induced Dispersion (RID).

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Area of Science:

  • Fluid dynamics
  • Transport phenomena
  • Nonlinear dynamics

Background:

  • Three-dimensional (3D) fluid transport is crucial for mixing, chemical reactions, and biological processes.
  • Understanding transport mechanisms is key to optimizing these applications.
  • Localized shear is a common feature in various fluid flows and materials.

Purpose of the Study:

  • To uncover a novel mechanism for 3D fluid transport.
  • To characterize this new mechanism and compare it with existing phenomena like Resonance Induced Dispersion (RID).
  • To investigate the conditions governing transitions between one-dimensional (1D), two-dimensional (2D), and 3D transport.

Main Methods:

  • Development of an abstract 2-action flow model.
  • Simulation of a model fluid flow.
  • Analysis of fluid particle trajectories near localized shear.
  • Investigation of streamline jump magnitudes in transverse directions.

Main Results:

  • A novel mechanism for 3D fluid transport driven by localized shear was identified.
  • This new mechanism is significantly faster than Resonance Induced Dispersion (RID) and incompatible with it.
  • Transitions from 1D to 2D and 2D to 3D transport were observed, dependent on streamline jump magnitudes.

Conclusions:

  • Localized shear can induce rapid 3D fluid transport through a novel particle-kicking mechanism.
  • This mechanism offers a new pathway for understanding and controlling fluid transport in diverse systems.
  • The dimensionality of transport is controllable by adjusting streamline jump dynamics.