A crack perpendicular to an elastic half-plane
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...The latest by Stallybrass [18] obtains the stress intensity factors for stress on the crack varying as a power of distance from the edge....
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...where C0, C , •••, CIQ are arbitrary constants, then the stress intensity factor is [18]...
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...(5) Polynomial stress [18] If the form of the stress in Figure A-l is not linear, but is given by %' = -<*<, I C (x/a) y u n=0 r -72-...
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...1 Source Irwin [3,10] Bueckner [11] Koiter [13,14] W i g g l e s w o r t h [16] Lachenbruch [4] S ta l l yb rass [18] Sneddon [19] Append ix Va/a 1 1 1 1 1 1 1 1 ....
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...The result for linearly varying pressure agrees with that of Stallybrass [18]....
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...With the additional assumption that the length of the initial flaw is small compared with the size of the plastic zone, that is, h, the stress intensity factor KI at the flaw tip can be approximated by the expression for an edge crack subjected to linearly distributed normal stress in a semi-infinite medium [15]....
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Cites background from "A crack perpendicular to an elastic..."
...4) The corresponding boundary-value problem can be solved exactly; see, for example, Stallybrass (1970) who gives a solution for v(s) = with /? > — 1....
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...Pressurized edge-crack in a half-plane Set d = 0 in (2.12) to give L(s,t) = — 1 / {s + + V2st/ (5 + 1)\ (3.4) The corresponding boundary-value problem can be solved exactly; see, for example, Stallybrass (1970) who gives a solution for v(s) = with /?...
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References
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