Intersection of Infinite Cylinders

Elastic analysis of Shrink-fitted Thick FGM Cylinders Based on Linear Plane Elasticity Theory

Nowadays, functionally graded materials (FGM) are widely used in many industrial, aerospace and military fields. On the other hand, the interest in the use of shrink-fitted assemblies is increasing for designing composite tubes, high-pressure vessels, rectors and tanks. Although extensive researches exist on thick-walled cylindrical shells, not many researches have been done on shrink-fitted th...

Intersection of Cylinders

Symmetry, topology and the maximum number of mutually pairwise-touching infinite cylinders: configuration classification

We provide a complete classification of possible configurations of mutually pairwise-touching infinite cylinders in Euclidian three-dimensional space. It turns out that there is a maximum number of such cylinders possible in three dimensions independently of the shape of the cylinder cross-sections. We give the explanation of the uniqueness of the non-trivial configuration of seven equal mutual...

Cross sections for extinction of tilted infinite circular cylinders.

It follows that Kerker's equations (6.1.46) and (6.1.47) should be deleted, and the quantities C n e x t and C22 ext should be replaced by C1 ex t and C2 ex t . Note that the forwardscattering (θ = 0) wave as well as the backscattering wave from tilted infinite cylinders is not de­ polarized, an effect which is well known in the case of spheres. But in contradiction to the spheres, the followin...

Asymptotics for a Resonance-counting Function for Potential Scattering on Cylinders

We study certain resonance-counting functions for potential scattering on infinite cylinders or half-cylinders. Under certain conditions on the potential, we obtain asymptotics of the counting functions, with an explicit formula for the constant appearing in the leading term.