Due to the repeated firing of the gun, large uniform arrays of unequal-depth fatigue cracks develop from the inner surface of the barrel. The combined effect of pressure and autofrettage on the mode I stress intensity factor (SIF) distribution along the fronts of these three-dimensional, semi-elliptical, surface cracks is herein studied. Crack depth inequality is modeled using the “two-crack depth level model” previously proposed. The analysis is performed via the finite element (FE) method employing singular elements along the crack front. The autofrettage residual stress field is simulated using an equivalent thermal load. The distribution of the combined stress intensity factor due to pressurization and full autofrettage for numerous array configurations is evaluated for a barrel of outer to inner radii ratio of These configurations bear to 128 cracks, a wide range of crack depth to wall thickness ratios, to 0.40, and various crack depth to half-length ratios (ellipticities) to 1.50. The results for distributions clearly indicate that the level of effect of crack depth inequality depends on all three parameters: crack number in the array, crack depth and crack ellipticity. Furthermore, the results indicate that adjacent unequal-depth cracks influence each other only within a limited range of their depths, i.e., the “interaction range”. The range of influence between adjacent cracks on the maximal SIF depends on crack ellipticity and is found to be inversely proportional to the crack density of the array. The results re-emphasize the favorable effect the residual stress field has on the fracture endurance and the fatigue life of gun barrels bearing uniform arrays of three-dimensional unequal-depth cracks at their inner surface. This favorable effect is governed by the ratio of the gun’s material yield stress to its internal pressure— The higher ψ is, the more effective autofrettage becomes.
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November 2005
Research Papers
The Combined Effect of Pressure and Autofrettage on Uniform Arrays of Three-Dimensional Unequal-Depth Cracks in Gun Barrels
M. Perl, Mem. ASME,
M. Perl, Mem. ASME
Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
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B. Ostraich
B. Ostraich
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
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M. Perl, Mem. ASME
Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576
B. Ostraich
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
Contributed by the Pressure Vessels and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received by the PVP Division May 4, 2004; revision received June 15, 2004. Editor: S. Zamrik.
J. Pressure Vessel Technol. Nov 2005, 127(4): 464-470 (7 pages)
Published Online: October 31, 2005
Article history
Received:
May 4, 2004
Revised:
June 15, 2004
Online:
October 31, 2005
Citation
Perl, M., and Ostraich, B. (October 31, 2005). "The Combined Effect of Pressure and Autofrettage on Uniform Arrays of Three-Dimensional Unequal-Depth Cracks in Gun Barrels ." ASME. J. Pressure Vessel Technol. November 2005; 127(4): 464–470. https://doi.org/10.1115/1.1806445
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