A COMPLIANCE K CALIBRATION FOR A PRESSURIZED THICK-WALL CYLINDER WITH A RADIAL CRACK
Abstract
The K calibration for an internally pressurized, thick-wall cylinder with a straight, radial notch has been determined from a compliance test. The method suggested by Irwin is used with compliance defined as the change in internal volume of a cylinder divided by applied hydrostatic pressure rather than the usual load-elongation definition. The derivative of internal volume change with respect to notch depth, 'a', is obtained by numerical analysis of tangential strain measurements on the OD of the test cylinder. This derivative leads directly to the K calibration for the cylinder. Cubic spline functions are used to approximate both the strain as a function of position on the cylinder and the resulting volume change as a function of 'a'. Also included in the determination of K is a proof, using the divergence theorem in the theory of elasticity, that the derivatives with respect to 'a' of internal and external volume change are identical. This allows the use of external strain measurements to determine K based on internal volume change.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1970
- Accession Number
- AD0708868
Entities
People
- John H. Underwood
- Moayyed A. Hussian
- Ralph R. Lasselle
- Raymond D. Scanlon