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Related Concept Videos

Significance of Displacement Current01:27

Significance of Displacement Current

A displacement current is analogous to a real current in Ampère's law, participating in Ampère's law the same way as the usual conduction current. However, it is produced by a changing electric field. Displacement current is defined in terms of a time-varying electric field, and also has an associated displacement current density. By adding a term accounting for displacement current, Maxwell modified the existing Ampère's law, which is now called generalized Ampère's law.
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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...
Shearing Strain01:20

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...
Stress-Strain Diagram - Ductile Materials01:24

Stress-Strain Diagram - Ductile Materials

The stress-strain relationship in ductile materials such as structural steel or aluminium is intricate and progresses through several stages. When a specimen is loaded, it initially exhibits a linear length increase, depicted by a steep straight line on the stress-strain diagram. It indicates the material is elastically deforming and will return to its original shape once unloaded. However, when a critical stress value is reached, plastic deformation begins. This stage sees substantial...
Displacement Current01:19

Displacement Current

Ampère's law, in its usual form, does not work in places where the current changes with time and is not steady. Thus, Maxwell suggested including an additional contribution, called the displacement current, Id, to the real conduction current I.

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Related Experiment Video

Updated: Jun 8, 2026

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
06:57

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

Published on: July 17, 2020

Dynamical correlations near dislocation jamming.

Lasse Laurson1, M-Carmen Miguel, Mikko J Alava

  • 1ISI Foundation, Viale S. Severo 65, 10133 Torino, Italy.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Dislocation jamming transitions show critical scaling and diverging dynamics near the critical stress. This indicates an avalanche-like behavior in crystal plasticity, revealing a key dynamical correlation length.

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Correlative Microscopy for 3D Structural Analysis of Dynamic Interactions
13:43

Correlative Microscopy for 3D Structural Analysis of Dynamic Interactions

Published on: June 24, 2013

Related Experiment Videos

Last Updated: Jun 8, 2026

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
06:57

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

Published on: July 17, 2020

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method
07:37

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method

Published on: January 16, 2019

Correlative Microscopy for 3D Structural Analysis of Dynamic Interactions
13:43

Correlative Microscopy for 3D Structural Analysis of Dynamic Interactions

Published on: June 24, 2013

Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Solid Mechanics

Background:

  • Dislocation assemblies in crystals undergo a jamming or yielding transition at a critical shear stress (σc).
  • Understanding the collective dynamics of dislocations near this transition is crucial for predicting material behavior.

Purpose of the Study:

  • To investigate the heterogeneous and collective nature of dislocation dynamics near the critical shear stress (σc).
  • To analyze the first-passage properties of dislocation dynamics to understand scaling behaviors.
  • To identify critical exponents and correlation lengths associated with the jamming-to-yielding transition.

Main Methods:

  • Utilized a crystal plasticity model to simulate dislocation dynamics.
  • Analyzed first-passage time distributions of dislocations.
  • Calculated dynamical susceptibility (χ4*) and structural correlations.
  • Investigated dynamical correlation lengths (ξy).

Main Results:

  • Observed scaling in the first-passage time distribution as the transition is approached.
  • Found that the peak dynamical susceptibility (χ4*) diverges as χ4*∼(σ-σc)−α, with α≈1.1.
  • Identified a diverging dynamical correlation length (ξy) perpendicular to dislocation glide.
  • Static structural correlations were found to be independent of external stress.

Conclusions:

  • The observed scaling and diverging susceptibility suggest an avalanche description of dislocation dynamics near the critical stress.
  • A diverging dynamical correlation length perpendicular to glide indicates a critical slowing down of collective dislocation motion.
  • These findings provide insights into the fundamental mechanisms governing plasticity and failure in crystalline materials.