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Related Concept Videos

Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
Symmetric Member in Bending01:07

Symmetric Member in Bending

In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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Unsymmetric Loading of Thin-Walled Members

Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...

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Related Experiment Video

Updated: Jun 18, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

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Published on: July 19, 2016

Symmetry-dependent defect structures in soft-mode turbulence.

Rinto Anugraha1, Yoshiki Hidaka, Tatsuhiro Ueki

  • 1Department of Applied Quantum Physics and Nuclear Engineering, Graduate School of Engineering, Kyushu University, Fukuoka 819-0395, Japan. rinto@athena.ap.kyushu-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

Researchers discovered a blackline structure in soft-mode turbulence (SMT) of nematic systems. This line, composed of point defects, arises from system symmetry and is independent of fluctuation properties.

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Area of Science:

  • Nonlinear dynamics
  • Soft matter physics
  • Fluid dynamics

Background:

  • Soft-mode turbulence (SMT) in homeotropic nematic electroconvection exhibits spatiotemporal chaos.
  • This chaos arises from nonlinear interactions between 2D XY fields, Nambu-Goldstone modes, and convective modes.

Purpose of the Study:

  • To investigate the nature and characteristics of the newly discovered 'blackline' structure in SMT.
  • To measure the density of the blackline as a function of control parameters like AC voltage and frequency.

Main Methods:

  • Detailed experimental observations of the blackline structure.
  • Quantitative analysis of the blackline density in relation to control parameters (AC voltage and frequency).

Main Results:

  • The blackline is identified as a specific arrangement of the nematic director in the x-y plane.
  • The blackline structure contains a sequence of point defects.
  • The density of the blackline shows similarities to the density of point defects in the 2D XY model.

Conclusions:

  • The observed point defects in SMT are a consequence of the system's inherent symmetry.
  • The formation of these defects is independent of the specific properties of fluctuations within the system.