SIF analytic Solution (Mode I and/or II) for Tubes

You should look at the book "Stress Intensity Factors Handbook, Pergamon Press, 1988" by H. Murakami. It is a very comprehensive book -- lot more comprehensive than Tada's book. However, there are two caveats. First, it contains SIF solutions that were available in the literature before 1988. Secondly, it does not reflect bulk of the contributions of the researchers from the former Soviet Union. To compensate for the latter, you may wish to take a look at the 4-volume handbooks "Mechanics of Fracture & Strength of Materials, Kiev, Naukova Dumka, 1988" by V. V. Panasiuk et al. Of course, you will need to have a working knowledge of Russian to be able to understand the contents of these books.

Good luck!

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An additional point ... If you are looking for an analytical solution to this, it may not simply exist. The complexities of the problem may not allow such a solution. But, I believe you can apply some kind of approximate approaches, such as, an interpolation scheme that attempts to find an analytical solution of such a problem by using the solutions of two "extreme" cases (e.g. "very short" and "very long" cracks). The approach is very similar to Neuber's interpolation scheme for finding stress concentration factors (Kt) for notches based on Kt's for shallow and deep notches.