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Related Concept Videos

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...
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Shearing Strain01:20

Shearing Strain

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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...
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Strain and Elastic Modulus01:15

Strain and Elastic Modulus

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The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
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Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

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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...
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Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

144
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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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

253
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.
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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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Shear Anisotropy Domains on Graphene Revealed by In-Plane Elastic Imaging.

Chengfu Ma1,2, Yaping Li3, Chenggang Zhou3

  • 1Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei 230026, China.

ACS Nano
|September 23, 2024
PubMed
Summary

Anisotropic domains on graphene exhibit in-plane shear anisotropy, not friction anisotropy. This anisotropy arises from self-assembled environmental adsorbates on the two-dimensional (2D) crystal surfaces.

Keywords:
adsorbatesdomain imaginggrapheneshear anisotropytorsional resonance atomic force microscopy

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Area of Science:

  • Materials Science
  • Surface Science
  • Nanotechnology

Background:

  • Anisotropic domains with 180° periodicity are commonly observed on graphene and other two-dimensional (2D) crystals.
  • The precise origin and anisotropic mechanisms of these domains remain poorly understood.

Purpose of the Study:

  • To investigate the nature of anisotropy in domains on graphene.
  • To elucidate the underlying physical mechanisms responsible for these observed domains.

Main Methods:

  • Utilized in-plane elastic imaging via torsional resonance atomic force microscopy (TR-AFM).
  • Applied TR-AFM to analyze the anisotropic properties of graphene domains.

Main Results:

  • Demonstrated that graphene domains exhibit in-plane elastic (shear) anisotropy.
  • Ruled out friction anisotropy as the primary cause, contrary to common belief.
  • Identified self-assembled environmental adsorbates as the source of anisotropic domains.

Conclusions:

  • The densely packed molecular backbone of adsorbates dictates the shear anisotropy axis.
  • Provides a quantitative understanding of anisotropic domains on 2D materials.
  • Highlights TR-AFM as a potent technique for studying in-plane elastic anisotropy in materials, including organic molecular crystals.