Stress-Intensity Factors by Boundary Collocation for Single-Edge-Notch Specimens Subject to Splitting Forces
NATIONAL AERONAUTICS AND SPACE ADMINISTRATION CLEVELAND OH LEWIS RESEARCH CENTER
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A boundary -value-collocation procedure was applied in conjunction with the Williams stress function to determine values of the stress-intensity factor K1 for single-edge cracks in plate specimens subject to splitting forces applied close to the crack and acting transversely to it. The results are presented in terms of the dimensionless quantity Y K1BH3 2pa, where B and H are the specimen thickness and half-depth, a is the effective crack length, and P is the applied load. The results are practically independent of the ratio of effective specimen length to specimen half-depth qH, when this ratio is not less than aH 2, and are then in excellent agreement with those derived by other investigators from compliance measurements. In the limit, as Ha approaches zero, the value of Y approaches that obtained in an elementary analysis which treats the specimen as a pair of built-in cantilever beams.
- Numerical Mathematics