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Advances in Nano Research
  Volume 7, Number 1, January 2019, pages 39-49

Characterization and behaviors of single walled carbon nanotube by equivalent-continuum mechanics approach
Mohamed A. Eltaher, Talaal A. Almalki, Khaled I.E. Ahmed and Khalid H. Almitani

    This paper focuses on two main objectives. The first one is to exploit an energy equivalent model and finite element method to evaluate the equivalent Young's modulus of single walled carbon nanotubes (SWCNTs) at any orientation angle by using tensile test. The calculated Young's modulus is validated with published experimental results. The second target is to exploit the finite element simulation to investigate mechanical buckling and natural frequencies of SWCNTs. Energy equivalent model is presented to describe the atomic bonding interactions and their chemical energy with mechanical structural energies. A Program of Nanotube modeler is used to generate a geometry of SWCNTs structure by defining its chirality angle, overall length of nanotube and bond length between two adjacent nodes. SWCNTs are simulated as a frame like structure; the bonds between each two neighboring atoms are treated as isotropic beam members with a uniform circular cross section. Carbon bonds is simulated as a beam and the atoms as nodes. A finite element model using 3D beam elements is built under the environment of ANSYS MAPDL environment to simulate a tensile test and characterize equivalent Young
Key Words
    numerical characterization; equivalent Young's modulus of SWCNT; buckling and free vibration; beam structure; finite element ANSYS
(1) Mohamed A. Eltaher, Talaal A. Almalki, Khaled I.E. Ahmed, Khalid H. Almitani:
Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia;
(2) Mohamed A. Eltaher:
Mechanical Design & Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt;
(3) Khaled I.E. Ahmed:
Mechanical Engineering Department, Faculty of Engineering, Assiut University, P.O. Box 71516, Assiut, Egypt.

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