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Recent Researches on Nonlocal Elasticity Theory in the Vibration of Carbon Nanotubes Using Beam Models: A Review

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Abstract

Understanding dynamic behavior of carbon nanotubes has been of interest to researchers because of its practical applications. Recent studies show that nonlocal elasticity theory gives better results in the vibration of carbon nanotubes. The necessity of nonlocal elasticity theory, calibration of nonlocal parameter and application of nonlocal elasticity theory in various studies related to vibration of carbon nanotubes are discussed. This review emphasizes the application of nonlocal elasticity theory in the vibration of carbon nanotubes considering various types of complicating effects, nonlinearity, functionally graded material and different beam theories.

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  1. Department of Mathematics, National Institute of Technology, Rourkela, Odisha, India

    L. Behera & S. Chakraverty

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  1. L. Behera
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Behera, L., Chakraverty, S. Recent Researches on Nonlocal Elasticity Theory in the Vibration of Carbon Nanotubes Using Beam Models: A Review. Arch Computat Methods Eng 24, 481–494 (2017). https://doi.org/10.1007/s11831-016-9179-y

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