On Contact Stresses between Infinite Cylinders and Finite Hollow Cylinders

Stresses in Anisotropic Cylinders

Axisymmetrical stresses in an infinitely long hollow isotropic circular cylinder (plane strain) quickly approach their asymptotic values as the external radius increases. This is not the case if the cylinder is even slightly anisotropic -asymptotic solutions (for an infinitely large external radius) do not exist. We find the mechanical meaning of this disparity by using formulas for radial and ...

Intersection of Infinite Cylinders

Thermoelastic Stresses in FG-Cylinders

FGM components are generally constructed to sustain elevated temperatures and severe temperature gradients. Low thermal conductivity, low coefficient of thermal expansion and core ductility have enabled the FGM material to withstand higher temperature gradients for a given heat flux. Examples of structures undergo extremely high temperature gradients are plasma facing materials, propulsion syst...

Asymmetric Thermal Stresses of Hollow FGM Cylinders with Piezoelectric Internal and External Layers

In this paper ,the general solution of steady-state one dimensional asymmetric thermal stresses and electrical and mechanical displacements of a hollow cylinder made of functionally graded material and piezoelectric layers is developed .The material properties ,except the Poisson's ration, are assumed to depend on the variable radius and they are expressed as power functions of radius. The temp...

Seven mutually touching infinite cylinders

We confirm a conjecture of Littlewood: there exist seven infinite circular cylinders of unit radius which mutually touch each other. In fact, we exhibit two such sets of cylinders. Our approach is algebraic and uses symbolic and numerical computational techniques. We consider a system of polynomial equations describing the position of the axes of the cylinders in the 3 dimensional space. To hav...