Elastoplastic deformations of rotating parabolic solid disks using Tresca's yield criterion

Date

2003-11

Author

Eraslan, Ahmet Nedim

Metadata

Show full item record

Item Usage Stats

405
views

0
downloads

Analytical solutions for the stress distribution in rotating parabolic solid disks are obtained. The analysis is based on Tresca's yield criterion, its associated flow rule and linear strain hardening. It is shown that, the deformation behavior of the convex parabolic disk is similar to that of the uniform thickness disk, but in the case of concave parabolic solid disk, it is different. In the latter, the plastic core consists of three different plastic regions with different mathematical forms of the yield criteria. Accordingly, three different stages of elastic-plastic deformation occur. All these stages of elastic-plastic deformation are studied in detail. It is also shown mathematically that in the limiting case the parabolic disk solution reduces to the solution of rotating uniform thickness solid disk.

Subject Keywords

Rotating solid disk, Tresca's criterion, Strain hardening, Variable thickness

URI

https://hdl.handle.net/11511/28291

Journal

European Journal of Mechanics - A/Solids

DOI

https://doi.org/10.1016/s0997-7538(03)00068-8

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

Elastic-plastic deformation of a rotating solid disk of exponentially varying thickness Eraslan, Ahmet Nedim (2002-07-01) The elastic-plastic deformation of a rotating solid disk of variable thickness in exponential form is investigated using Tresca's yield criterion, its associated flow rule and linear strain hardening. An analytical solution is obtained and numerical results are presented for different values of the geometric parameters. In the limiting case of uniform thickness the solution reduces to Garner's solution.
Analytical and numerical solutions to rotating variable thickness disks for a new thickness profile Eraslan, Ahmet Nedim (2015-09-01)
Analytical and Numerical Solutions to Rotating Variable Thickness Disks for a New Thickness Profile Eraslan, Ahmet Nedim (2014-09-28) Analytical and numerical solutions to rotating variable thickness disks are obtained. A new one-parameter exponential model is used to express the variation of disk thickness. It is shown by taking the limit that the present analytical solution reduces to the well-known homogeneous thickness solution. Furthermore, analytical and numerical solutions are brought into view together to allow comparison and further verification. The results of the solutions are presented in tables and figures to provide benchmar...
On the rotating elastic-plastic solid disks of variable thickness having concave profiles Eraslan, Ahmet Nedim (2002-07-01) In this paper, an analytical solution for the elastic-plastic stress distribution in rotating variable thickness solid disks is presented. The analysis is based on Tresca's yield criterion, its associated flow rule and linear strain hardening material behavior. It is shown that depending on the shape of the disk profile, the radial stress in the central region may exceed the circumferential stress. The plastic zone which develops away from the axis of the disk consists of three annular regions governed by d...
DEFORMATION ANALYSIS OF TWO LAYER COMPOSITE TUBES UNDER CYCLIC LOADING OF EXTERNAL PRESSURE Eraslan, Ahmet Nedim (2016-01-01) The stress response of axially constrained two-layer composite tubes under cyclic loading of external pressure is investigated in this study. Elastic and elastoplastic stress states for the tube assemblies are examined by developing a mathematical model based on Tresca's yield criterion, its associated ow rule, and linear strain hardening. Using this model, the composite tubes with different dimensions are analyzed under one cycle of loading, unloading, and reloading of external pressure. It is observed tha...

Citation Formats

A. N. Eraslan, “Elastoplastic deformations of rotating parabolic solid disks using Tresca’s yield criterion,” European Journal of Mechanics - A/Solids, pp. 861–874, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28291.