Torsion of Elliptical Composite Bars Containing Neutral Coated Cavities
نویسندگان
چکیده
Using complex variable methods and conformal mapping techniques, we establish the existence of coated cavities of various shapes that do not disturb the warping function in a host elliptical bar. These cavities are known as ‘partly neutral cavities’. Our results show that the two axes corresponding to the neutral elliptical coating are parallel to those of the host elliptical bar and that the centre of the elliptical coating can be located arbitrarily on the major axis of the host bar. Examples of neutral coated non-elliptical cavities are provided.
منابع مشابه
Elastoplastic Torsion by Quadratic Programming
A fItrite element scheme (together with a conjugate gradient algorithmj is demonstrated to be a very effective method for analyzing general elastoplastic torsion of prismatic bars posed as quadratic programming problems. Solutions for bars with elliptical and Sokolovsky’s oval cross-sections are presented. The solutions for the elliptical bars agree with the existing elastic and limit plastic s...
متن کاملTorsion of Poroelastic Shaft with Hollow Elliptical Section
In this paper torsion of hollow Poroelastic shaft with Elliptical section is developed. Using the boundary equation scheme. It looks for a stress function where satisfied Poisson equation and vanishes on boundary. It also analyzed stress function and warping displacement for the hollow elliptical section in Poroelastic shaft. At the end, the result of elastic and poroelastic shaft in warping di...
متن کاملSaint-Venant torsion of non-homogeneous anisotropic bars
The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized Neumann type boundary condition. The problem is solved using the Analog Equation Method (AEM)...
متن کاملApplication of Electroactive Nano Composite Coated onto Wood Sawdust for the Removal of Malachite Green Dye from Textile Wastewaters
In this research, the removal of malachite green dye from Textile Wastewaters using polyaniline coated onto sawdust (PAni/SD) has been investigated. Ammonium peroxodisulphate was used as chemical oxidant for polymerization of polyaniline directly on the surface of sawdust. The effects of some important parameters such as pH, initial concentration, sorbent dosage, exposure time and temperature o...
متن کاملCrack analysis of an orthotropic circular bars reinforced by a magnetic coating under Saint-Venant torsion
This paper presents an analytical solution for an orthotropic circular cross section bar with a magnetic coating weakened by multiple arbitrary oriented cracks under Saint-Venant torsion by means of the distributed dislocation technique. At first, the solution of the orthotropic bar with a magnetic coating weakened by a Volterra-type screw dislocation is achieved with the aid of the finite Four...
متن کامل