Two mode Mindlin–Herrmann rod solution based on modified couple stress theory. (English) Zbl 1303.74023
Summary: 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.
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
Keywords:
longitudinal wave propagation; modified couple stress theory; indlin–Herrmann rod model; two mode solution; Rayleigh–Bishop rod model.References:
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