2014/08/21 by A. Piccolroaz, Piccolroaz, A., A. B. Movchan +1
Engineering · Materials Science · #Classical Physics (physics.class-ph) #Composite Structure Analysis and Optimization #FOS: Physical sciences #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.1408.5020
openalex publication_date 2014/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations appear to be similar, and hence mathematical models have a lot in common. In the present work, our main focus is on the analysis of dispersive waves, band-gaps and localized waveforms in structured Rayleigh beams. The Rayleigh beam theory includes the effects of rotational inertia which are neglected in the Euler--Bernoulli beam theory. This makes the approach applicable to higher frequency regimes. Special attention is given to waves in pre-stressed Rayleigh beams on elastic foundations.