Corrected stress intensity factor solution for a British standard single edge notched tension (SENT) specimen

Abstract

This paper revisits a complicated analytical solution of the stress intensity factor K adopted in a newly published British standard BS 8571:2014 for clamped single edge notched tension (SENT) specimens. Comparison with existing numerical results of K shows that the analytical K solution in BS 8571 is correct only for the crack length to specimen width ratio a/W ≤ 0.6, but incorrect for a/W > 0.6. A reinvestigation is thus performed using the crack compliance method, and a corrected K solution is obtained for the BS 8571 clamped SENT specimens over the full range of a/W. On this basis, a simple closed‐form solution of K is obtained using the best curve fitting with an accuracy within 1% for crack sizes up to a/W = 0.98. Results show that the proposed closed‐form solution of K agrees well with the numerical results of K for the clamped SENT specimens.

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“…The stress intensity factor, , at the tip of the crack in a single edge notched specimen under tension is given by 49 : where f(a/W) is a geometry function that depends only on a/W and is independent of the thickness. P is the applied force, B is the specimen thickness before side‐grooving and B N is the net section thickness after side‐grooving.…”

Numerical verification of stress intensity factor solution for clamped single edge notched tension (SENT) specimens

“…This closed‐form solution was determined by curve fitting a polynomial to numerical results obtained from finite element (FE) analyses. Zhu recently revisited the solutions of the SIF for the clamped SENT specimen using a compliance analysis method, where solutions for the daylight‐to‐width ratio of 10 were studied in Zhu, and other ratios were developed in Zhu . From these works, a new closed‐form polynomial solution for the SIF of a clamped SENT specimen with a daylight‐to‐width ratio of 10 was proposed in Zhu …”

“…The CANMET solution is based on curve fitting of FE data, 4 and Zhu's solution is based on curve-fitting data from the compliance analyses. 5,6 The input for the compliance analyses are the reference K solutions for edge-cracked plate under remote tension and bending loads obtained from the literature. 5,6 Therefore, the accuracy of the CANMET solution depends on the accuracy of FE analysis, and the accuracy of Zhu's solution depends on the reference K solutions.…”

“…5,6 The input for the compliance analyses are the reference K solutions for edge-cracked plate under remote tension and bending loads obtained from the literature. 5,6 Therefore, the accuracy of the CANMET solution depends on the accuracy of FE analysis, and the accuracy of Zhu's solution depends on the reference K solutions. Further detailed FE analyses are required to verify these solutions.…”

“…It is important to note that for SENT specimens there is no exact solution available for the stress intensity factor K , and numerical methods are required to obtain their values. The CANMET solution is based on curve fitting of FE data, and Zhu's solution is based on curve‐fitting data from the compliance analyses . The input for the compliance analyses are the reference K solutions for edge‐cracked plate under remote tension and bending loads obtained from the literature .…”