Research article

The cumulative detrimental impact of pressure and autofrettage on the fatigue life of an externally cracked modern tank gun barrel

  • Received: 11 May 2019 Accepted: 06 September 2019 Published: 17 September 2019
  • The fatigue life of an externally cracked modern tank gun barrel is controlled by the prevailing combined stress intensity factor (SIF) KIN, which consists of two components:KIP-the SIF caused by internal pressure; KIA-the positive SIF due to the tensile residual stresses induced by autofrettage. KIA values for a single external radial semi-elliptical crack originating at the outer surface of an autofrettaged gun barrel were calculated for a large number of crack configurations by Perl and Saley. In order to assess the combined effect of overstraining and the pressurizing of the barrel during firing, values of KIP, the SIF caused by internal pressure, and those of KIN, the combined SIF, are evaluated. The 3D analysis is performed using the finite element method (FEM) employing singular elements along the crack front. The novel realistic overstrain residual stress fields, incorporating the Bauschinger effect, for the three types of autofrettage, Swage, Hydraulic and Hill's, previously developed, are applied to the barrel. The RSFs are simulated in the finit element (FE) analysis using equivalent temperature fields. Values of KIP and KIN are evaluated for a typical barrel of radii ratio R0/Ri=2, crack depths (a/t=0.005-0.1), crack ellipticities (a/c=0.2-1.0), and five levels of the three types of autofrettage, (ε=40%, 60%, 70%, 80%, and 100%). A detailed analysis of the effect of the above parameters on the prevailing SIF is conducted. All three types of autofrettage are found to have a detrimental effect on the barrel's fatigue life. However, the magnitude of life reduction is autofrettage-type dependent. In the case of external cracking, Hydraulic autofrettage is found to be somewhat superior to Swage autofrettage, and Hill's autofrettage is found to be non-realistic. Finally, the results accentuate the importance of the three dimensional analysis and the incorporation of the Bauschinger effect.

    Citation: Mordechai Perl, Tomer Saley. The cumulative detrimental impact of pressure and autofrettage on the fatigue life of an externally cracked modern tank gun barrel[J]. AIMS Materials Science, 2019, 6(5): 833-851. doi: 10.3934/matersci.2019.5.833

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  • The fatigue life of an externally cracked modern tank gun barrel is controlled by the prevailing combined stress intensity factor (SIF) KIN, which consists of two components:KIP-the SIF caused by internal pressure; KIA-the positive SIF due to the tensile residual stresses induced by autofrettage. KIA values for a single external radial semi-elliptical crack originating at the outer surface of an autofrettaged gun barrel were calculated for a large number of crack configurations by Perl and Saley. In order to assess the combined effect of overstraining and the pressurizing of the barrel during firing, values of KIP, the SIF caused by internal pressure, and those of KIN, the combined SIF, are evaluated. The 3D analysis is performed using the finite element method (FEM) employing singular elements along the crack front. The novel realistic overstrain residual stress fields, incorporating the Bauschinger effect, for the three types of autofrettage, Swage, Hydraulic and Hill's, previously developed, are applied to the barrel. The RSFs are simulated in the finit element (FE) analysis using equivalent temperature fields. Values of KIP and KIN are evaluated for a typical barrel of radii ratio R0/Ri=2, crack depths (a/t=0.005-0.1), crack ellipticities (a/c=0.2-1.0), and five levels of the three types of autofrettage, (ε=40%, 60%, 70%, 80%, and 100%). A detailed analysis of the effect of the above parameters on the prevailing SIF is conducted. All three types of autofrettage are found to have a detrimental effect on the barrel's fatigue life. However, the magnitude of life reduction is autofrettage-type dependent. In the case of external cracking, Hydraulic autofrettage is found to be somewhat superior to Swage autofrettage, and Hill's autofrettage is found to be non-realistic. Finally, the results accentuate the importance of the three dimensional analysis and the incorporation of the Bauschinger effect.


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    [3] Hill R (1950) The Mathematical Theory of Plasticity, New York: Oxford University Press.
    [4] Perl M, Perry J (2006) An experimental-numerical determination of the three dimensional autofrettage residual stress field incorporating bauschinger effect. J Press Vess-T ASME 128: 173-178.
    [5] Perl M (1988) The temperature field for simulating partial autofrettage in an elasto-plastic thick-walled cylinder. J Press Vess-T ASME 110: 100-102. doi: 10.1115/1.3265552
    [6] Barsom RS (1976) On the use of isoparametric finite elements in linear fracture mechanics. International. Int J Numer Meth Eng 10: 25-37. doi: 10.1002/nme.1620100103
    [7] ANSYS Release 13.0 (2010) Available from: https://www.ansys.com/products/structures.
    [8] Rice JR (1968) A path independent integral and the approximate analysis of strain Concentration by notched and cracks. J Appl Math 35: 379-386.
    [9] API 579-1/ASME FFS-1 Fitness for Service (2007) Available from: gost-snip.su › download › api_5791_asme_ffs1_fitnessforservice.
    [10] Perl M, Saley T (2017) Swage and hydraulic autofrettage impact on fracture endurance and fatigue life of an internally cracked smooth gun barrel part II-The combined effect of pressure and overstraining. Eng Fract Mech 182c: 386-399.
    [11] Lin XB, Smith RA (1998) Fatigue growth prediction of internal surface cracks in pressure vessels. J PressVess-T ASME 120: 17-23. doi: 10.1115/1.2841878
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  • © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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