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Calculating the Stiffness Matrix of VACNTs Using Structural or Continuum Modelling

Vahidmoshtagh, Alireza | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 49101 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Dehghani Firouz Abadi, Ruhollah
  7. Abstract:
  8. The goal of this research is investigation and analysis of a surface consists of vertically aligned carbon nanotubes (VACNTs) using continuum mechanics modeling. Today these kinds of surfaces also known as the darkest material have a particular importance in industries. Knowing the properties of a material is one of the most important things in analysis and designing using that kind of material, so extraxting the stiffness matrix of a material could be a big step for starting analyzing it. In this thesis a lattice of VACNTs with two different layouts and several unique geometrics is simulated using molecular dynamics approach using the Lammps software. The general stiffness matrix of the surface is the main output of this work. In other word this research is a bridge between molecular dynamics and continuum mechanics, and that is because the atoms are simulated by potential fields, then the system is assumed to be continuum and finally the stiffness matrix is obtained. A unique method of energy is considered to reach the goal. Also so many validations are done to prove the method of the current work. Finally, a lattice consists of 100 nanotubes are investigated in so many circumstances. The results showed that doubling the nanotubes radius can decrease the properties up to half of the original lattice. Also by increasing the parameter length to radius ratio from less than 10 to more than 10, because of vanishing the edge effects in nano scale, the properties of the lattice decreased by 8% to 65%. The lattice also shown to be orthotropic from the stiffness matrix obtained
  9. Keywords:
  10. Carbon Nanotubes ; Simulation ; Energy Method ; Molecular Dynamics ; Continuum Mechanics ; Nanotubes Properties

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