Propagation of Elastic Waves in Nanostructures

S Gopalakrishnan, NANOSENSORS, BIOSENSORS, AND INFO-TECH SENSORS AND SYSTEMS 2016, 9802, UNSP 98020N (2016).

DOI: 10.1117/12.2218203

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.

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