The strain hardening rotating hollow shaft subject to a positive temperature gradient

Date

2007-11-01

Author

Eraslan, Ahmet Nedim
Mack, W.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

159
views

0
downloads

Based on Tresca's yield criterion and the flow rule associated with it, the distribution of stress, strain and displacement in a linearly strain hardening elastic-plastic hollow shaft subject to a positive radial temperature gradient and monotonously increasing angular speed is investigated. Presupposing circular symmetry and plane strain conditions, the problem is accessible to an analytical treatment. It is found that - depending on the temperature difference between the outer and the inner surface - qualitatively different types of solutions may occur, and that such a temperature difference on the one hand reduces the elastic limit angular speed but on the other hand may increase the fully plastic angular speed slightly. The residual stresses after stand-still and subsequent cooling are depicted, too.

Subject Keywords

Mechanical Engineering, Computational Mechanics

URI

https://hdl.handle.net/11511/41085

Journal

ACTA MECHANICA

DOI

https://doi.org/10.1007/s00707-007-0456-6

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

The shrink fit consisting of elastic hollow shaft and nonlinearly hardening elastic-plastic hub Orcan, Y; GAMER, U (Springer Science and Business Media LLC, 1990-3) Based on Tresca's yield criterion and the flow rule associated to it, general expressions for stresses and displacement in a shrink fit consisting of elastic hollow inclusion and elastic-plastic hub with arbitrary nonlinear isotropic hardening are derived. For two specific hardening laws—one of Ludwik type and the other of Swift type—there follows the explicit determination of stresses and displacement together with numerical results.
Effect of a temperature cycle on a rotating elastic-plastic shaft ARSLAN, ERAY; Mack, W.; Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2008-01-01) The stress distribution in a rotating solid shaft with temperature dependent yield stress subject to a temperature cycle is investigated. It is presumed that the shaft is in a state of generalized plane strain and obeys Tresca's yield criterion and the flow rule associated with it. Even in an initially purely elastic shaft two plastic regions with different forms of the yield condition may emerge simultaneously at the centre. However, the expansion of the plastic zone ceases soon thereafter, and an unloaded...
THE ELASTIC-PLASTIC SPHERICAL-SHELL WITH NONLINEAR HARDENING SUBJECT TO A RADIAL TEMPERATURE-GRADIENT ORCAN, Y; GAMER, U (Springer Science and Business Media LLC, 1994-01-01) Subject of this paper is the quasi-analytical treatment of the elastic-plastic spherical shell whose inner surface is heated slowly. The hardening behavior of the material is presumed isotropic, but it need not be specified beyond that. A first plastic region forms at the inner surface, and, for not too thick-walled shells, a second plastic region appears at the outer surface. The general results are specialized to linear hardening and thereafter to Swift's hardening law with the power one half. Numerical r...
The rotating elastic-plastic hollow shaft conveying a hot medium Arslan, E.; Mack, W.; Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2010-03-01) Based on Tresca's yield criterion and the flow rule associated with it, the distribution of stress and strain in a linearly strain hardening elastic-plastic hollow shaft subject to monotonously increasing angular speed and a negative radial temperature gradient-corresponding to the flow of a hot medium-is investigated. Presupposing circular symmetry and plane strain conditions, the problem is amenable to an analytical treatment. It is found that-depending on the temperature difference between the outer and ...
On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2006-01-01) Closed form solutions to functionally graded rotating solid shaft and rotating solid disk problems are obtained under generalized plane strain and plane stress assumptions, respectively. The nonhomogeneity in the material arises from the fact that the modulus of elasticity of the material varies radially according to two different continuously nonlinear forms: exponential and parabolic. Both forms contain two material parameters and lead to finite values of the modulus of elasticity at the center. Analytica...

Citation Formats

A. N. Eraslan and W. Mack, “The strain hardening rotating hollow shaft subject to a positive temperature gradient,” ACTA MECHANICA, pp. 191–211, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41085.