Under torsion and beyond the buckling point, multi-walled carbon nanotubes MWCNTs develop a periodic wave-like rippling morphology. Here, we show that torsional rippling deformations can be accurately described by a simple sinusoidal shape function. Combining this observation with the geometry optimization, we develop an effective coarse-grained model that reproduces the complex nonlinear mecha...

The present paper studies the possibility of propagation of torsional surface waves in a non-homogeneous isotropic crustal layer lying over a viscoelastic mantle. Both rigidity and density of the crustal layer are assumed to vary exponentially with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation for the torsional surface waves. Furt...

The weakly non-linear interaction of slow magnetoacoustic and torsional Alfvén waves propagating along an unperturbed poloidal magnetic field in a stellar interior is studied in the high plasma β limit. It is shown that slow magnetoacoustic waves parametrically drive torsional modes with the half frequency and wave number. Therefore global slow magnetoacoustic waves which have a radial velocity...

This paper investigates the transverse and torsional wave in singleand double-walled carbon nanotubes (SWCNTs and DWCNTs), focusing on the effect of carbon nanotube microstructure on wave dispersion. The SWCNTs and DWCNTs are modeled as nonlocal single and double elastic cylindrical shells. Molecular dynamics (MD) simulations indicate that the wave dispersion predicted by the nonlocal elastic c...

Aims. We consider the effects of the magnetic twist and plasma rotation on the propagation of torsional m = 0 perturbations of cylindrical plasma structures (straight magnetic flux tubes) in the case when the wavelength is much longer than the cylinder diameter. Methods. The second order thin flux tube approximation is used to derive dispersion relations and phase relations in linear longwavele...

The market for process instruments generally requires low cost devices that are robust, small in size, portable, and usable in-plant. Ultrasonic torsional guided wave sensors have received much attention by researchers for measurement of viscosity and/or density of fluids in recent years. The supporting electronic systems for these sensors providing many different settings of sine-wave signals ...

The speed of a torsional stress wave transmitted in a solid waveguide, that has a non-circular cross-section and is submerged in a liquid, is inversely proportional to the density of the liquid. Thus, by measuring the speed of the torsional stress wave, one can obtain information about the liquid's density or density-related characteristics such as liquid level and the mass composition of bi-ph...

We theoretically study and experimentally report the propagation of nonlinear hysteretic torsional pulses in a vertical granular chain made of cm-scale, self-hanged magnetic beads. As predicted by contact mechanics, the torsional coupling between two beads is found to be nonlinear hysteretic. This results in a nonlinear pulse distortion essentially different from the distortion predicted by cla...

satisfies it. This indicates that in the limit, as the wall thickness of the hollow tube approaches zero, the only possible mode of torsional wave propagation is the zeroth mode, as would be expected. For completeness, Fig. 1 shows the values of the characteristic numbers k'a plotted agsinst the ratio of the tube inner radii to tube outer radii for the cases calculated. This shows that torsiona...