Approximate Techniques of J Estimation Applicable to Part-Through Surface Cracks

Kirk, M.T.; Dodds, Robert H., Jr.

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https://hdl.handle.net/2142/14179 Copy

Description

Title

Approximate Techniques of J Estimation Applicable to Part-Through Surface Cracks

Author(s)

• Kirk, M.T.
• Dodds, Robert H., Jr.

Issue Date

1991-08

Keyword(s)

• Fracture mechanics
• finite elements
• Surface cracks

Abstract

This investigation concerns the accuracy with which three different estimation schemes predict the variation of applied I with applied strain for semi-elliptical surface cracks. The three estimation schemes considered were a weight function technique proposed by Bhandari, a modification of the EPRI estimation scheme proposed by Ainsworth, and Turner's Engineering- I design curve. Each of these techniques is simple enough to employ in design, the most arduous calculation required being that needed to determine the linear elastic stress intensity factor. Accuracy of the estimation schemes was assessed by comparing I predictions to finite element results for three small semi-elliptical surface cracks in a moderately hardening steel loaded in either pure tension or pure bending. The results obtained indicate that, for applied strains up to three times the yield strain, both the weight function and the modified EPRI schemes under estimate applied I by between 23 % and 83 % depending on the applied strain level. Conversely, Turner's Engineering-I design curve provides accurate or conservative (i.e. over) estimates of applied J in both tension and bending provided total crack size is less than 3% of the total cross sectional area and maximum crack depth is less than 25% of the plate thickness. Application to larger and deeper cracks loaded in tension is not recommended as the design curve does not conservatively account for net section yielding in these situations. The design curve can still be applied in bending to cracks of size up to 7% of the total cross sectional area. However, the degree of conservatism inherent in this application may be considered excessive in certain situations.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-561

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/14179

Sponsor(s)/Grant Number(s)

• David Taylor Research Center, Metals and Welding Division
• Research Contract N61533-90-K-0059

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