0
Research Papers

Effect of Pressure-Dependency of the Yield Criterion on the Development of Plastic Zones and the Distribution of Residual Stresses in Thin Annular Disks

[+] Author and Article Information
Sergei Alexandrov

A. Yu. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, Moscow 119526, Russiasergei_alexandrov@yahoo.com

Yeau-Ren Jeng1

Department of Mechanical Engineering, National Chung Cheng University, 168 University Road, Ming-Hsiung, Chia-Yi 62102, Taiwanimeyrj@ccu.edu.tw

Evgenii Lomakin

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, Moscow 119991, Russiaevlomakin@yandex.ru

1

Corresponding author.

J. Appl. Mech 78(3), 031012 (Feb 15, 2011) (5 pages) doi:10.1115/1.4003361 History: Received November 27, 2009; Revised November 23, 2010; Posted January 05, 2011; Published February 15, 2011; Online February 15, 2011

The main objective of the present paper is to show an effect of pressure-dependency of the yield criterion on the development of the plastic zone and the distribution of residual stresses in a thin annular disk subject to a pressure over its inner edge during the loading stage. The Drucker–Prager yield criterion is adopted to account for the effect of the hydrostatic pressure on plastic yielding. The state of stress is supposed to be plane and the material model is perfectly plastic. A semi-analytical stress solution to the problem formulated is given and its qualitative features are emphasized. It is shown that the pressure at which plastic yielding starts and the pressure at which the entire disk becomes plastic are weakly affected by the pressure-dependency of the yield criterion. On the other hand, this dependency has a significant effect on the maximum possible pressure that can be supported by the disk. The minimum pressure at which reverse yielding occurs is also affected by the pressure-dependency of the yield criterion. In general, the residual radial stress distribution is more influenced by the pressure-dependency of the yield criterion than the residual circumferential stress distribution, although the magnitude of circumferential stresses is larger than the magnitude of radial stresses. On the other hand, the effect of pressure-dependency of the yield criterion on the residual circumferential stress distribution is pronounced in the vicinity of the inner edge of the disk, where this stress is important for improving fatigue performance of structures.

FIGURES IN THIS ARTICLE
<>
Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Variation of the critical value of b/a with α

Grahic Jump Location
Figure 2

Variation of characteristic values of the pressure applied with α for b/a=3

Grahic Jump Location
Figure 3

Variation of the value of pm with α at two values of b/a

Grahic Jump Location
Figure 4

Distribution of the residual radial stress at b/a=3, p=0.9, and different values of α

Grahic Jump Location
Figure 5

Distribution of the residual circumferential stress at b/a=3, p=0.9, and two values of α

Grahic Jump Location
Figure 6

Distribution of the residual radial stress at b/a=3, p=1.1, and different values of α

Grahic Jump Location
Figure 7

Distribution of the residual circumferential stress at b/a=3, p=1.1, and different values of α

Grahic Jump Location
Figure 8

Variation of the residual circumferential stress at the inner edge of the disk with the pressure applied for b/a=3 and different values of α

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In