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Related Concept Videos

Shearing Strain01:20

Shearing Strain

692
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...
692
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

327
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...
327
Transformation of Plane Strain01:12

Transformation of Plane Strain

269
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...
269
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

352
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.
352
Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

747
Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for...
747
Generalized Hooke's Law01:22

Generalized Hooke's Law

1.8K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
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Temperature-Dependent Mechanical and Structural Properties of Uniaxially Strained Planar Graphene.

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Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
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Uniaxially Strained Graphene: Structural Characteristics and G-Mode Splitting.

George Kalosakas1, Nektarios N Lathiotakis2, Konstantinos Papagelis3

  • 1Department of Materials Science, University of Patras, GR-26504 Rio, Greece.

Materials (Basel, Switzerland)
|January 11, 2022
PubMed
Summary

Graphene

Keywords:
G-band splittingbond anglesbond lengthsdensity functional theorygraphenemolecular dynamicsuniaxial strain

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Accurate characterization of graphene properties under mechanical load is crucial for strain engineering applications.
  • Understanding atomic-level geometrical changes and Raman spectra evolution under strain is essential.

Purpose of the Study:

  • To investigate the strain dependence of geometrical characteristics and Raman G-band in uniaxially strained graphene.
  • To provide analytical relations for bond length and angle variations under strain.
  • To analyze G-band splitting behavior for different strain directions and magnitudes.

Main Methods:

  • Density Functional Theory (DFT) methods.
  • Molecular Dynamics (MD) atomistic simulations.
  • Simulations performed for strains up to structural failure.

Main Results:

  • Analytical relations for bond length and angle variations with strain (zigzag and armchair directions) are provided.
  • G-band splitting is symmetrical for small strains (<1%) but becomes asymmetrical for larger strains.
  • G-band splitting is larger along the zigzag direction for significant strains.
  • A crossing between the lower frequency G-mode and out-of-plane optical mode is observed at high uniaxial zigzag strain (>20%).

Conclusions:

  • The study provides a comprehensive understanding of graphene's response to uniaxial strain.
  • The findings are critical for designing and optimizing graphene-based strain engineering devices.
  • The observed G-mode splitting asymmetry and mode crossing highlight unique strain-induced phenomena in graphene.