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Propagation of Elastic Waves in Nanostructures

Gopalakrishnan, S (2016) Propagation of Elastic Waves in Nanostructures. In: Conference on Nanosensors, Biosensors, and Info-Tech Sensors and Systems, MAR 21-24, 2016, Las Vegas, NV.

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Official URL: http://dx.doi.org/10.1117/12.2218203

Abstract

This paper presents the study of propagation of elastic waves in nano structures using continuum approximation. The wave propagation characteristics in both 1-D and 2-D nanostructures, namely the carbon nanotubes and Graphene are studied in this paper. In particular, the use of various gradient elasticity theories, namely the Eringen's Stress gradient theory, the second and fourth order strain gradient theories, that brings in atomistic length scale parameters into the continuum governing equations, is used in this paper to study the wave propagation characteristics in the nano structures. Using these non-local theories, wave propagation in Single and Multi-wall carbon tubes and monolayer Graphene structures are studied. A number of examples are presented that brings out the essential wave propagation features such as escape frequency, cut-off frequencies, phase speeds and group speeds in these structures.

Item Type: Conference Proceedings
Series.: Proceedings of SPIE
Additional Information: Copy right for this article belongs to the SPIE-INT SOC OPTICAL ENGINEERING, 1000 20TH ST, PO BOX 10, BELLINGHAM, WA 98227-0010 USA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 21 Jan 2017 08:39
Last Modified: 21 Jan 2017 08:39
URI: http://eprints.iisc.ac.in/id/eprint/55947

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