The scattering of plane steady-state sound waves from a viscous fluid-filled thin cylindrical shell weakened by a long linear slit and submerged in an ideal fluid is studied. For the description of vibrations of elastic objects the Kirchhoff–Love shell-theory approximation is used. An exact solution of this problem is obtained in the form of series with cylindrical harmonics. The numerical anal...

It has been recently proved in a general form [1] that no wormholes can be formed in any scalartensor theory (STT) of gravity in which the non-minimal coupling function f(Φ) is everywhere positive and the scalar field Φ itself is not a ghost if matter sources of gravity respect the Null Energy Condition (NEC). In order to construct any viable and stable wormhole solution, attempts have been rec...

The alloying of Ag and Au has been investigated on the level of individual clusters by analyzing the light emission excited by electron injection from an STM tip. Different Ag-Au alloy and shell-core clusters have been prepared at room temperature on a thin Al2O3 film on NiAl 110 by simultaneous and successive deposition of both noble metals. For simultaneous deposition, one Mie-plasmon resonan...

This paper is concerned with the buckling of double-walled carbon nanotubes (DWCNTs) under axial load. The DWCNTs are modelled as two cylindrical shells, one shell nested in the other and Winkler springs are introduced to connect them in order to simulate the van der Waals forces between the two nanotubes. By using the Donnell thin shell theory, we derive the governing equations for the bucklin...

Elasticity theory calculations predict the number N of depressions that appear at the surface of a spherical thin shell submitted to an external isotropic pressure. Using a model that mainly considers curvature deformations, we show that N depends on the relative volume variation and on an adimensional parameter that takes into account both the relative spontaneous curvature and the relative th...

In the recent years, functionally gradient materials (FGMs) have gained considerable attention in the high temperature environment applications. In this paper, free vibration of thin functionally graded cylindrical shell with hole composed of stainless steel and zirconia is studied. The mechanical properties vary smoothly and continuously from one surface to the other according to a volume frac...

The purpose of this paper is to study the effect of presence of fluid within and around a poroelastic circular cylindrical shell of infinite extent on axially symmetric vibrations. The frequency equation each for a pervious and an impervious surface is obtained employing Biot’s theory. Radial vibrations and axially symmetric shear vibrations are uncoupled when the wavenumber is vanished. The pr...

Taking the Randall–Sundrum models as background scenario, we derive generalized Israel–Lanczos–Sen thin-shell junction conditions for systems in which several bulk scalar fields are non-minimally coupled to gravity. We demonstrate that the form of the junction conditions (though arguably not the physics) depends on the choice of frame. We show that generally (in any frame except the Einstein fr...

It has been technically challenging to effectively model and simulate elastic deformation of spline-based, thin-shell objects of complicated topology. This is primarily because traditional FEM are typically defined upon planar domain, therefore incapable of constructing complicated, smooth spline surfaces without patching/trimming. Moreover, at least C1 continuity is required for the convergenc...

Generally, thin cylindrical shells are susceptible for geometrical imperfections like non-circularity, non-cylindricity, dents, swellings etc. All these geometrical imperfections decrease the static buckling strength of thin cylindrical shells. In this work, neighbourhood effect of two circumferential short dents on the buckling behaviour of thin short stainless steel cylindrical shell is studi...