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Related Concept Videos

Shearing Strain01:20

Shearing Strain

1.1K
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...
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Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

423
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...
423
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

461
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.
461
Shearing Stress01:19

Shearing Stress

1.5K
Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
1.5K
Shear on the Horizontal Face of a Beam Element01:16

Shear on the Horizontal Face of a Beam Element

448
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
448
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

518
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...
518

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Fabrication of Three-Dimensional Graphene-Based Polyhedrons via Origami-Like Self-Folding
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Long-Range Rhombohedral-Stacked Graphene through Shear.

Jean Paul Nery1,2, Matteo Calandra3,4, Francesco Mauri1,2

  • 1Graphene Laboratories, Fondazione Istituto Italiano di Tecnologia, Via Morego, I-16163 Genova, Italy.

Nano Letters
|June 12, 2020
PubMed
Summary
This summary is machine-generated.

Shear stress can create long-range rhombohedral (ABC) stacking in multilayer graphene. This finding offers a guide for synthesizing ABC-stacked graphene, a material with potential for superconductivity.

Keywords:
Bernaldensity functional theoryfrictiongraphenelong-range ABC orderrhombohedralshear stress

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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Superconductivity and correlated electronic states have been discovered in twisted bilayer graphene's flat bands.
  • Multilayer graphene flakes with rhombohedral (ABC) stacking also exhibit flat bands.
  • Long-range ABC-ordered graphene flakes (up to 50 layers) have been observed in natural samples, despite Bernal-stacked (AB) graphene being more stable.

Purpose of the Study:

  • To present a microscopic model explaining the formation of long-range ABC order in multilayer graphene.
  • To investigate the role of shear stress in inducing ABC stacking.
  • To provide an experimental guide for synthesizing ABC-stacked graphene.

Main Methods:

  • Utilizing first-principles density functional theory calculations.
  • Developing a microscopic atomistic model.
  • Constructing a stress-angle phase diagram.

Main Results:

  • Demonstrated that shear stress can induce long-range ABC stacking in multilayer graphene.
  • Identified the conditions under which ABC-stacked graphene can be obtained via a stress-angle phase diagram.

Conclusions:

  • Shear stress is a viable mechanism for producing long-range ABC order in multilayer graphene.
  • The developed phase diagram serves as a practical guide for experimental synthesis of ABC-stacked graphene.