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Related Concept Videos

Transformation of Plane Strain01:12

Transformation of Plane Strain

589
When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
589
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

660
Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
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Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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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...
569
Strain Energy01:13

Strain Energy

1.1K
Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
1.1K
Transformation of Plane Stress01:18

Transformation of Plane Stress

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Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
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Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

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The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member...
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Related Experiment Video

Updated: Mar 10, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

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Evolution of a Vortex in a Strain Flow.

N C Hurst1, J R Danielson1, D H E Dubin1

  • 1Physics Department, University of California, San Diego, La Jolla California 92093, USA.

Physical Review Letters
|December 17, 2016
PubMed
Summary
This summary is machine-generated.

This study examines vortex dynamics under strain flow using plasma experiments and simulations. Results show good agreement with theory for flat vorticity profiles, while nonflat profiles reveal complex behaviors like vortex stripping.

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Related Experiment Videos

Last Updated: Mar 10, 2026

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Area of Science:

  • Plasma Physics
  • Fluid Dynamics
  • Computational Physics

Background:

  • Vortices are fundamental in fluid dynamics.
  • Understanding vortex behavior under external forces is crucial for various applications.
  • Previous models often simplify vortex structures.

Purpose of the Study:

  • Investigate the dynamics and stability of a spatially distributed vortex under imposed strain flow.
  • Compare experimental and simulation results with theoretical models.
  • Explore physics beyond simplified constant-vorticity models.

Main Methods:

  • Experiments using magnetized pure electron plasma to simulate inviscid 2D fluids.
  • Vortex-in-cell (VIC) simulations.
  • Comparison with a theory based on an elliptical constant-vorticity region.

Main Results:

  • Close quantitative agreement between experiments, simulations, and theory for flat vorticity profiles.
  • The stability threshold is accurately predicted by the constant-vorticity model.
  • Nonflat vorticity profiles exhibit physics beyond the simplified model, including vortex stripping.

Conclusions:

  • The constant-vorticity model effectively describes basic vortex dynamics under strain.
  • Deviations from flat profiles introduce complex phenomena like vortex stripping.
  • Further research is needed to fully capture the behavior of non-uniform vortices.