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Justification and improvement of Kienzler and Herrmann's estimate of stress intensity factors of cracked beam

✍ Scribed by Zdeněk P. Bažant

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
228 KB
Volume
36
Category
Article
ISSN
0013-7944

No coin nor oath required. For personal study only.

✦ Synopsis

Kienzler and Hernnan recently showed that good and remarkably simple approximations of the stress intensity factors of cracks in beams can be obtained by bending theory estimations of the strain energy release as the crack is widened into a band of finite width. Their method has been based on equating this energy release to the energy release rate due to crack length extension, which has been postulated as a hypothesis. This note presents a justification of this hypothesis and further shows a possibility of improvement by introduction of an additional factor. The improvement is demonstrated by numerical comparison with the exact solution of a cracked beam. The afo~mention~ factor, however, can be dete~in~ only by optimum fitting of the exact solution.

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