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Two mode Mindlin–Herrmann rod solution based on modified couple stress theory
Author(s) -
Güven U.
Publication year - 2014
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201300066
Subject(s) - stress (linguistics) , mode (computer interface) , rayleigh scattering , length scale , work (physics) , rod , mathematics , physics , mechanics , optics , computer science , thermodynamics , philosophy , alternative medicine , medicine , linguistics , pathology , operating system
In this work, the classical two mode Mindlin–Herrmann rod model is extended by using the modified couple stress theory having the single internal length scale parameter to investigate the propagation of the longitudinal stress waves along a nanorod. This analysis also contains the single mode Rayleigh Bishop rod solution based on the modified couple stress theory. Comparative results for the classical Mindlin–Herrmann and the single mode Rayleigh–Bishop rod models based on the modified couple stress theory are presented and discussed. The present analysis shows that Mindlin–Herrmann rod model is influenced significantly by the internal length scale parameter.