๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Torsion of an elastic cylinder slackened by an external circular notch II. The case of a finite cylinder

โœ Scribed by A. N. Zlatin; Ya. S. Uflyand


Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
295 KB
Volume
13
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

โœฆ Synopsis


The axisymmetric torsion problem of the boundary-free finite cylinder with external notch is considered. The problem is reduced to a regular Fredholm integral equation of the second kind having symmetric kernel. Simple asymptotics are worked out for the case of a long cylinder. Numerical results are adduced for the problem symmetrical with respect to the axial coordinate.


๐Ÿ“œ SIMILAR VOLUMES


Torsion of an elastic cylinder slackened
โœ A. N. Zlatin; Ya. S. Uflyand ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 252 KB

The axisymmetric torsion problem of the boundary-free cylinder with external notch is considered. The method of dual equations is used to reduce the problem to a regular Fredholm integral equation of the second kind with a symmetric kernel. Numerical results worked out for the stress intensity facto

Torsion of a non-homogeneous infinite el
โœ Hassan A. Z. Hassan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 352 KB

We consider the torsional deformation of a non-homogeneous infinite elastic cylinder slackened by an external circular cut. The shear modulus of the material of the cylinder is assumed to vary with the radial coordinate by a power law. It is assumed that the lateral surface of the cylinder as well a

Torsion of an elastic solid cylinder wit
โœ O. D. George ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 609 KB

A Green's function approach is used to formulate and obtain the stress field, under torsional loads in a radially finite solid cylinder with radially variable elastic modulus. With this approach a certain dual static-geometric analogy in the solution is readily proved and applied to generate the sol

An exact solution to the elastic deforma
โœ R.L. Sierakowski; C.T. Sun ๐Ÿ“‚ Article ๐Ÿ“… 1968 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 561 KB

An exact elastic analysis is presented for the deformation of a finite length hollow cylinder subjected to thermal and mechanical loads. The solution presented satisfies the surface and end boundary conditions identically. A comparison of the present solution with the classical solution shows that't