Criteria for crack extension in cylindrical pressure vessels

International Journal of Fracture Mechanics - Tập 5 - Trang 187-210 - 1969
G. T. Hahn1, M. Sarrate1, A. R. Rosenfield1
1Metal Science Group, Battelle Memorial Institute, Columbus Laboratories, Columbus

Tóm tắt

This paper describes three closely related criteria for the extension of axial through-cracks in cylindrical pressure vessels: (1) a fracture-toughness criterion mainly for low- and medium-tough materials, (2) a plastic flow stress criterion for short cracks in tough materials, and (3) a modification of (1) for relatively thin-walled containers. The development couples the Folias theoretical treatment of a pressurized cylindrical shell with the fracture-toughness approach and a new plasticity correction. This correction, which is consistent with crack-tip displacement measurements, shows that the plastic-flow strength governs the extension of short cracks in vessels fabricated from tough materials. This is to be contrasted with the behavior of longer cracks or more brittle materials which depends on the fracture toughness. The formulation is extended to vessels with large radius to wall-thickness ratios, e.g., R/t > 50 by way of a simple empirical modification. In this way, estimates of critical hoop stress-crack length combinations can be derived from the vessel radius to wall-thickness ratio, and either the ordinary yield strength, the yield and ultimate strengths, or Kc without prior full-scale test experience. Such estimates are shown to be in accord with the large body of published data encompassing ductile-steel, brittle-steel, as well as aluminum- and titanium-alloy vessels.

Tài liệu tham khảo

R. W. Peters, and P. Kuhn, Bursting Strength of Unstiffened Pressure Cylinders with Slits, NACA TN 3993, 1957. E. S. Folias, Int. J. Fracture Mech., 1 (1965) 104. R. B. Anderson and T. L. Sullivan, Fracture Mechanics of Through-Cracked Cylindrical Pressure Vessels, NACA TN D-3252, 1966. R. W. Nichols, W. H. Irvine, A. Quirk and E. Bevitt, Proc. First Int. Conf. on Fracture, Sendai, Japan, 1673, 1966. H. Kihara, K. Ikeda and H. Iwanga, Brittle Fracture Initiation of Line Pipe, Document X-371-66, Presented at Int. Inst. Welding, Delft, 1966. W. J. Crichlow and R. H. Wells, Crack Propagation and Residual Static Strength of Fatigue-Cracked Titanium and Steel Cylinders, ASTM STP 415, 25, 1967. A. R. Duffy, Studies of Hydrostatic Test Levels and Defect Behavior, Symposium on Line Pipe Research, American Gas Assoc., New York, (1965). V. Weiss and S. Yukawa, Critical Appraisal of Fracture Mechanics, ASTM STP No. 381, 1964. D. L. Getz, W. S. Pierce and H. Calvert, Correlation of Uniaxial Notch Tensile Data With Pressure-Vessel Fracture Characteristics, ASME, 1964. E. E. Sechler and M. L. Williams, The Critical Crack Length Pressurized Monocoque Cylinders, Graduate Aero, Lab. Cal. Inst. Tech. Report, September, 1959. See also M. L. Williams in Proceedings of Crack Propagation Symposium, Cranfield, (1961) 130. D. S. Dugdale, J. Mech. Phys. Solids, 8 (1960) 100. E. A. Almond, N. J. Petch, A. E. Wraith and E. S. Wright, The Fracture of Pressurized Laminated Cylinders (to be published). J. M. Krafft, A Rate “Spectrum” of Strain Hardenability and of Fracture Toughness, Report of NRL Progress, January, 1966. See also G. T. Hahn and A. R. Rosenfield, ASM Trans., 59 (1966) 909. R. G. Forman, Experimental Program to Determine Effect of Crack Buckling and Specimen Dimensions on Fracture Toughness of Thin Sheet Materials, AF Flight Dynamics Lab Report AFFDL-TR 65-146, Wright Patterson AFB, Ohio, 1965. W. G. Degnan, P. D. Dripchak and C. J. Matvsovitch, Fatigue Crack Propagation in Aircraft Materials, U.S. Army Aviat. Mat. Lab. Fort Eustis, Va., Technical Report 66-9, March 1966. G. T. Hahn and A. R. Rosenfield, Sources of Fracture Toughness: The Relation Between K 1c and the Ordinary Tensile Properties of Metals, ASTM STP 432, 5, 1968. A. Quirk, A Maximum Stress Theory for the Failure of Pressure Components Containing Through Thickness Defects, UKAEA Report AHSB(S) R 134, 1967. B. A. Bilby and K. H. Swinden, Proc. Roy. Soc. A., 285 (1965) 22. A. A. Wells, Brit. Weld. J., 10, 855 (1963). J. N. Goodier and F. A. Field, Fracture of Solids (Edited by Drucker and Gilman), Interscience, New York, 103, 1963. G. T. Hahn and A. R. Rosenfield, Acta Met., 13 (1965) 293. A. R. Rosenfield, P. K. Dai and G. T. Hahn, Proceedings of the First International Conference on Fracture, T. Yokobori, et al., eds., 1 (1966) 223.