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Torsion of an elastic cylinder slackened by an external circular notch I. The case of an infinite cylinder

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

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

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โœฆ Synopsis

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 factor are adduced. * In the case of a cylinder of radius R the quantities below should be multiplied conformably: the displacement -by R, the torque -by R 3, etc., the value of the stress does not vary.

๐Ÿ“œ SIMILAR VOLUMES

Torsion of an elastic cylinder slackened
Torsion of an elastic cylinder slackened by an external circular notch II. The case of a finite cylinder
โœ A. N. Zlatin; Ya. S. Uflyand ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 295 KB

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

Torsion of a non-homogeneous infinite el
Torsion of a non-homogeneous infinite elastic cylinder slackened by a circular cut
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