0
RESEARCH PAPERS

Weight Functions for T-Stress for Edge Cracks in Thick-Walled Cylinders

[+] Author and Article Information
Jian Li, Choon-Lai Tan, Xin Wang

Department of Mechanical and Aerospace Engineering, Carleton University, Ottawa, Ontario, Canada, K1S 5B6

J. Pressure Vessel Technol 127(4), 457-463 (Jun 02, 2005) (7 pages) doi:10.1115/1.2043198 History: Received March 18, 2005; Revised June 02, 2005

This paper presents T-stress solutions for an internal edge crack in thick-walled cylinders. Elastic fracture mechanics analysis using the boundary element method (BEM) is performed to determine the T-stress solutions for a wide range of radius ratios and relative crack lengths. The loading cases considered in the BEM analysis for the cracked cylinder are crack-face pressures with polynomial stress distributions acting on the crack face. T-stress results for the uniform and linearly varying crack-face pressure cases are subsequently used as the reference solutions to derive weight functions for T-stress. Boundary element results of T-stress for other stress distributions, namely, other nonlinear crack face loading, internal pressure, and steady-state thermal loading, are used to validate the derived T-stress weight functions. Excellent agreement between the results from the weight function predictions and those directly computed is shown to be obtained. The weight functions derived are suitable for obtaining T-stress solutions for thick-walled cylinders with an internal edge crack under any complex stress fields.

FIGURES IN THIS ARTICLE
<>
Copyright © 2005 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Thick-walled cylinder with a radial edge crack

Grahic Jump Location
Figure 2

Typical BEM mesh: Ro∕Ri=1.5, a∕W=0.5

Grahic Jump Location
Figure 4

Weight function for T-stress (a)–(d)

Grahic Jump Location
Figure 5

Comparison of normalized T-stresses from weight function predictions and direct BEM analysis under parabolic crack face pressure loading

Grahic Jump Location
Figure 6

Comparison of normalized T-stresses from weight function predictions and direct BEM analysis under cubic crack face pressure loading

Grahic Jump Location
Figure 7

Comparison of normalized T-stresses from weight function predictions and direct BEM analysis under internal radial pressure

Grahic Jump Location
Figure 8

Comparison of normalized T-stresses from weight function predictions and direct BEM analysis under thermal loading due to steady-state radial temperature gradient

Grahic Jump Location
Figure 3

Cracked elastic domain under mode I loading

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