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Related Concept Videos

Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

751
Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
751
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
370
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

354
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...
354
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

322
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...
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Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

257
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
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Plastic Behavior01:21

Plastic Behavior

323
A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Dislocation avalanches from strain-controlled loading: A discrete dislocation dynamics study.

David Kurunczi-Papp1, Lasse Laurson1

  • 1Computational Physics Laboratory, Tampere University, P.O. Box 692, FI-33014 Tampere, Finland.

Physical Review. E
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Summary
This summary is machine-generated.

Plastic deformation in crystalline solids is influenced by strain rate. Faster rates increase average stress, while slower rates show power-law distributions for strain bursts and stress drops.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Computational Physics

Background:

  • Plastic deformation in crystalline solids is a fundamental phenomenon.
  • Understanding the dynamics of dislocations is key to predicting material behavior.

Purpose of the Study:

  • To investigate strain-controlled plastic deformation using discrete dislocation dynamics (DDD).
  • To analyze the impact of strain rate and system stiffness on deformation characteristics.

Main Methods:

  • Utilized two-dimensional discrete dislocation dynamics simulations.
  • Characterized average stress-strain curves and statistical properties of strain bursts and stress drops.

Main Results:

  • Observed strain-rate sensitivity: higher strain rates lead to higher average stress.
  • Identified power-law distributions for avalanche sizes and durations at low strain rates and stiffness.
  • Noted temporally asymmetric average shapes for dislocation avalanches.

Conclusions:

  • Strain rate and system stiffness are critical parameters in plastic deformation.
  • DDD simulations provide insights into the statistical nature of plastic events.