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Related Concept Videos

Transformation of Plane Strain01:12

Transformation of Plane Strain

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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...
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Conformations of Cycloalkanes02:29

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Adolf von Baeyer attempted to explain the instabilities of small and large cycloalkane rings using the concept of angle strain — the strain caused by the deviation of bond angles from the ideal 109.5° tetrahedral value for sp3  hybridized carbons. However, while cyclopropane and cyclobutane are strained, as expected from their highly compressed bond angles, cyclopentane is more strained than predicted, and cyclohexane is virtually strain-free. Hence, Baeyer’s theory that...
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Conformations of Cyclohexane02:11

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Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
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Three-Dimensional Analysis of Strain01:29

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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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Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

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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.
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Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

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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...
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Precision Milling of Carbon Nanotube Forests Using Low Pressure Scanning Electron Microscopy
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Chain Model for Carbon Nanotube Bundle under Plane Strain Conditions.

Elena A Korznikova1, Leysan Kh Rysaeva1, Alexander V Savin2

  • 1Institute for Metals Superplasticity Problems, Russian Academy of Sciences, Khalturin St., 39, 450001 Ufa, Russia.

Materials (Basel, Switzerland)
|December 5, 2019
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Summary

A new atomistic chain model efficiently analyzes carbon nanotube (CNT) bundles

Keywords:
carbon nanotube bundlechain modelequilibrium structurelateral compressionplane strain conditionsthermal stability

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Computational Mechanics

Background:

  • Carbon nanotubes (CNTs) possess exceptional mechanical properties, making them suitable for advanced materials.
  • Understanding the mechanical behavior of CNT bundles is crucial for material design.
  • Existing continuum models face limitations in simulating extreme conditions like high pressures and large curvatures.

Purpose of the Study:

  • To develop an efficient computational model for analyzing the mechanical response of carbon nanotube bundles.
  • To investigate the behavior of CNT bundles under plane strain conditions.
  • To provide a tool for designing novel CNT-based materials.

Main Methods:

  • An atomistic chain model was developed to simulate CNT bundles.
  • The model incorporates tensile and bending rigidity of CNT walls and van der Waals interactions.
  • Simulations were performed under plane strain conditions, including biaxial, strain-controlled loading.

Main Results:

  • The model accurately predicts the mechanical response and equilibrium structures of CNT bundles.
  • It successfully describes large wall curvatures and wall fracture under high pressures.
  • A novel equilibrium structure with four single-walled nanotubes (SWNTs) in a translational cell was identified.

Conclusions:

  • The proposed atomistic chain model offers an efficient method for analyzing CNT bundle mechanics.
  • It overcomes limitations of continuum models in simulating extreme mechanical behaviors.
  • The model is applicable to both single-walled and multi-walled CNT bundles under plane strain conditions.