Abstract
Experiments were performed to observe the fracture behavior of thin-wall and initially-flawed aluminum tubes to internal gaseous detonation loading. The load can be characterized as a propagating pressure jump with speed of 2.4 km/s and magnitude ranging from 2 MPa to 6 MPa, followed by an expansion wave. Flaws were machined as external axial surface notches. Cracks ran both in the upstream and downstream directions as the hoop stress opened up the notch. Different kinds of crack propagation behavior were observed for various loading amplitudes and flaw sizes. For low-amplitude loading and short flaws, cracks tend to run in a helical fashion, whereas for high-amplitude loading and long flaws, cracks tend to bifurcate in addition to running helically. Unless the cracks branched and traveled far enough to meet, resulting in a split tube, they were always arrested. Strain gages were used to monitor the hoop strains at several places on the tubes’ external surface. Far from the notch, tensile vibrations were measured with frequencies matching those predicted by the steady-state Tang (1965, Proceedings of the American Society of Civil Engineers 5, 97–122) and Simkins (1987, Technical Report ARCCB-TB-87008, US Army Armament Research, Development and Engineering Center, Watervliet, N.Y. 12189–4050) models. Near the notch, compressive strains were recorded as a result of the bulging at the notch. Features in the strain signals corresponding to different fracture events are analyzed.
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ASME (2000). ASME Boiler and Pressure Vessel Code – An International Code. . The American Society of Mechanical Engineers, New York, NY, Section 8, Div. 1 (Part UG-100), Div. 2 (Article T-4).
Becker W.T., Shipley R.J. (2002). ASM Handbook, 10th Edition, Vol. 11: Failure Analysis and Prevention. American Society for Metals.
W. Beltman E. Burcsu J. Shepherd L. Zuhal (1999) ArticleTitleThe structural response of cylindrical shells to internal shock loading Journal of Pressure Vessel Technology 121 315–322
W. Beltman J. Shepherd (2002) ArticleTitleLinear elastic response of tubes to internal detonation loading Journal of Sound and Vibration 252 IssueID4 617–655 Occurrence Handle10.1006/jsvi.2001.4039
Brossard J., Renard J. (1979). Mechanical effects of gaseous detonations on a flexible confinement. In: Gasdynamics of detonations and explosions: technical papers from the seventh International Colloquium on Gasdynamics of Explosions and Reactive Systems. (Edited by Bowen J.R.), Göttingen, Federal Republic of Germany, 108–121, AIAA.
T.W. Chao J.E. Shepherd (2004) ArticleTitleComparison of fracture response of preflawed tubes under internal static and detonation loading Journal of Pressure Vessel Technology 126 IssueID3 345–353 Occurrence Handle10.1115/1.1767861
B. Cotterell J. Rice (1980) ArticleTitleSlightly curved or kinked cracks International Journal of Fracture 16 IssueID2 155–169 Occurrence Handle10.1007/BF00012619
M. Malherbe Particlede R. Wing A. Laderman A. Oppenheim (1966) ArticleTitleResponse of a cylindrical shell to internal blast loading Journal of Mechanical Engineering Science 8 IssueID1 91–98
A.F. Emery A.S. Kobayashi W.J. Love B.W. Place C. Lee Y.H. Chao (1986) ArticleTitleAn experimental and analytical investigation of axial crack propagation in long pipes Engineering Fracture Mechanics 23 IssueID1 215–226 Occurrence Handle10.1016/0013-7944(86)90188-8
L. Engle H. Klingele (1981) An Atlas of Metal Damage Prentice-Hall Englewood Cliffs, N.J
W. Fickett W.C. Davis (2000) Detonation: Theory and Experiments Dover Mineola, N.Y
Folias E.S. (1965). A finite crack in a pressurized cylindrical shell International. Journal of Fracture Mechanics. 1: 104–113.
K. Ives A. Shoemaker R. McCartney (1974) ArticleTitlePipe deformation during a running shear fracture in line pipe Journal of Engineering Materials and Technology 96 IssueID4 309–317
Kiefne, J.F., Maxey W.A., Eiber R.J., Duffy A.R. (1973). Failure stress levels of flaws in pressurized cylinders. In: ASTM STP 536, Progress in Flaw Growth and Fracture Toughness Testing, Proceedings. of the 1972 National Symposium on Fracture Mechanics.
A.S. Kobayashi A.F. Emery W.J. Love Y.H. Chao (1988) ArticleTitleSubsize experiments and numerical modeling of axial rupture of gas transmission lines Journal of Pressure Vessel Technology 110 155–160
Maxey W.A., Kiefner J.F., Eiber R.J., Duffy A.R. (1971). Ductile fracture initiation, propagation, and arrest in cylindrical vessels. In: ASTM STP 514, Fracture Toughness, Proceedings of the 1971 National Symposium on Fracture Mechanics PART II.
J. Newman SuffixJr. I.S. Raju (1981) ArticleTitleAn empirical stress-intensity factor equation for the surface crack Engineering Fracture Mechanics 15 IssueID1–2 185–192 Occurrence Handle10.1016/0013-7944(81)90116-8
Reismann H.(1965). Response of a pre-stressed cylindrical shell to moving pressure load’. In: Eighth Midwest Mechanics Conference. (Edited by Ostrach, S., Scanlon, R.), Pergamon Press, 349–363.
Reynolds W. (1986). The element potential method for chemical equilibrium analysis: implementation in the interactive program STANJAN. Technical report, Mechanical Engineering Department, Stanford University.
Simkins T. (1987). Resonance of flexural waves in gun tubes. Technical Report ARCCB–TR–87008, US Army Armament Research, Development and Engineering Center, Watervliet, N.Y., 12189–4050.
S. Tang (1965) ArticleTitleDynamic response of a tube under moving pressure In: Proceedings of the American Society of Civil Engineers 5 97–122
K. Thielsch (1965) Defects and Failures in Pressure Vessels and Piping Reinhold New York
G. Thomas (2002) ArticleTitleThe response of pipes and supports generated by gaseous detonations Journal of Pressure Vessel Technology 124 66–73 Occurrence Handle10.1115/1.1427342
Z. Zhuang P. O’Donoghue (2000) ArticleTitleDetermination of material fracture toughness by a computational/experimental approach for rapid crack propagation in PE pipe International Journal of Fracture 101 IssueID3 251–268 Occurrence Handle10.1023/A:1007676310234
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Chao, T.W., Shepherd, J.E. Fracture response of externally flawed aluminum cylindrical shells under internal gaseous detonation loading. Int J Fract 134, 59–90 (2005). https://doi.org/10.1007/s10704-005-5462-x
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DOI: https://doi.org/10.1007/s10704-005-5462-x