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J-integral and CMOD for external inclined cracks on autofrettaged cylinders

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Abstract

Autofrettage is a well-known method to increase the load carrying capacity of the pressure vessels. The autofrettage outcomes can be contrary when the imperfections or material discontinuities are on the outer surface. In this study, the influences of the external inclined cracks on the fracture parameters in autofrettaged cylinders were studied. The inclination angles of cracks are different but they have the same depth. Crack mouth opening displacements and J-Integral values along the cracks front were investigated. The effects of autofrettage ratio, inclination angle, crack depth and length, the ratio of inner to outer radius and applied pressure were studied. The J-Integral values were calculated by using a modified equation taken from the recent literature, which includes the residual stress effects.

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References

  • Betegon C, Hancock JW (1991) Two parameter characterization of elastic–plastic crack-tip fields. J Appl Mech 58: 104–110

    Article  Google Scholar 

  • Clark G (1984) Fatigue crack growth through residual stress fields-theoretical and experimental studies on thick-walled cylinders. Theor Appl Fract Mech 2: 111–125

    Article  Google Scholar 

  • English SA, Arakere NK, Allen PA (2010) J–T characterized stress fields of surface-cracked metallic liners bonded to a structural backing—I. Uniaxial tension. Eng Fract Mech 77: 170–181

    Article  Google Scholar 

  • Gibson MC, Hameed A, Parker AP, Hetherington JG (2006) Predicting residual stresses in strain-hardening, autofrettaged thick cylinders, including the Bauschinger effect. J Press Vessel Tech 128: 217–222

    Article  Google Scholar 

  • Hu J, Chandrashekhara K (2009) Fracture analysis of hydrogen storage composite cylinders with liner crack accounting for autofrettage effect. Int J Hydrog Energy 34: 3425–3435

    Article  CAS  Google Scholar 

  • Koh SK, Stephens RI (1991) Stress analysis of an autofrettaged thick-walled pressure vessel containing an external groove. Int J Press Vessel Pip 46: 95–111

    Article  Google Scholar 

  • Lei Y, O’dowd NP, Webster GA (2000) Fracture mechanics analysis of a crack in a residual stress field. Int J Fract 106: 195–216

    Article  Google Scholar 

  • Lei Y (2005) J-integral evaluation for cases involving non-proportional stressing. Eng Fract Mech 72: 577–596

    Google Scholar 

  • Levy C, Perl M, Kotagiri S (2006) The Bauschinger effect’s influence on the SIFs of multiple longitudinal coplanar cracks in autofrettaged pressurized cylinders. Eng Frac Mech 73: 1814–1825

    Article  Google Scholar 

  • Levy C, Perl M, Kotagiri S (2008) The combined stress intensity factors of multiple longitudinally coplanar cracks in autofrettaged pressurized tubes influenced by the Bauschinger effect. J Press Vessel Tech 130: 031208–031216

    Article  Google Scholar 

  • Lin XB, Smith RA (1997) Stress intensity factors for semi-elliptical internal surface cracks in autofrettaged thick-walled cylinders. J Strain Anal 32(5): 351–362

    Article  Google Scholar 

  • Livieri P, Lazzarin P (2002) Autofrettaged cylindrical vessels and Bauschinger effect: an analytical frame for evaluating residual stress distributions. J Press Vessel Tech 124: 38–46

    Article  Google Scholar 

  • Ma Q, Levy C, Perl M (2010) Stress intensity factors for partially autofrettaged pressurized thick-walled cylinders containing closely and densely packed cracks. J Press Vessel Tech 132: 051203–051219

    Article  Google Scholar 

  • Majzoobi GH, Farrahi GH, Mahmoudi AH (2003) A finite element simulation and an experimental study of autofrettage for strain hardened thick-walled cylinders. Mater Sci Eng A 359: 326–331

    Article  Google Scholar 

  • Meith WA, Hill MR (2002) Domain-independent values of the J-integral for cracks in three-dimensional residual stress bearing bodies. Eng Frac Mech 69: 1301–1314

    Article  Google Scholar 

  • Meshii T, Tanaka T (2010) Experimental T 33—stress formulation of test specimen thickness effect on fracture toughness in the transition temperature region. Eng Frac Mech 77: 867–877

    Article  Google Scholar 

  • Moustabchir H, Azari Z, Hariri S, Dmytrakh I (2010) Experimental and numerical study of stress–strain state of pressurized cylindrical shells with external defects. Eng Fail Anal 17: 506–514

    Article  Google Scholar 

  • O’Dowd NP (1995) Applications of two parameter approaches in elastic–plastic fracture mechanics. Eng Fract Mech 52: 445–465

    Article  Google Scholar 

  • Parker AP (2001) Bauschinger effect design procedures for compound tubes containing an autofrettaged layer. J Press Vessel Tech 123: 203–206

    Article  CAS  Google Scholar 

  • Parker AP (2004) A re-autofrettage procedure for mitigation of Bauschinger effect in thick cylinders. J Press Vessel Tech 126: 451–454

    Article  Google Scholar 

  • Perl M, Levy C, Rallabhandy V (2006) The influence of the Bauschinger effect on 3D stress intensity factors for internal radial cracks in a fully or partially autofrettaged gun barrel. J Press Vessel Tech 128: 233–239

    Article  Google Scholar 

  • Perry J, Aboudi J (2003) Elasto-plastic stresses in thick walled cylinders. J Press Vessel Tech 125: 248–252

    Article  Google Scholar 

  • Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and crack. J Appl Mech 35: 379–386

    Google Scholar 

  • Sakaue K, Yoneyama S, Takashi M (2009) Study on crack propagation behavior in a quenched glass plate. Eng Frac Mech 76: 2011–2024

    Article  Google Scholar 

  • Seifi R, Bahrami R (2010) Numerical modeling the effects of overloading and underloading in fatigue crack growth. Eng Fail Anal 17(6): 1475–1482

    Article  CAS  Google Scholar 

  • Shih CF, Moran B, Nakamura T (1986) Energy release rate along a three-dimensional crack front in a thermally stressed body. Int J Frac 30: 79–102

    Google Scholar 

  • Su B, Bhuyan GS (1998) Elasto-plastic fracture properties of an all-aluminum gas cylinder with different cracks. Int J Press Vessel Pip 75: 879–886

    Article  CAS  Google Scholar 

  • Su B, Bhuyan GS (1999) Elastic fracture properties of all-steel gas cylinders with different axial crack types. Int J Press Vessel Pip 76: 23–33

    Article  Google Scholar 

  • Su B, Li Ch, Bhuyan GS (2000) Comparison between fracture parameters of an all-aluminum cylinder with cracks under different deformation conditions. Int J Press Vessel Pip 77: 179–184

    Article  Google Scholar 

  • Troiano E, Underwood OH, Parker AP (2006) Finite element investigation of Bauschinger effect in high-strength A723 pressure vessel steel. J Press Vessel Tech 128: 185–189

    Article  CAS  Google Scholar 

  • Wang X (2009) Two-parameter characterization of elastic–plastic crack front fields Surface cracked plates under tensile loading. Eng Frac Mech 76: 958–982

    Article  Google Scholar 

  • Xiaoying Z, Gangling L (1984) Autofrettaged calculative methods of a thick walled cylinder for the open-ended case. In: Proceedings of the 5th international conference on pressure vessel technology, vol 1. ASME, New York, pp 85–95

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Authors and Affiliations

  1. Mechanical Engineering Department, Faculty of Engineering, Bu-Ali Sina University, Hamedan, Iran

    Rahman Seifi, Amir Hossein Mahmoudi & Majid Babalhavaeji

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  1. Rahman Seifi
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  2. Amir Hossein Mahmoudi
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  3. Majid Babalhavaeji
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Correspondence to Rahman Seifi.

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Seifi, R., Mahmoudi, A.H. & Babalhavaeji, M. J-integral and CMOD for external inclined cracks on autofrettaged cylinders. Int J Fract 169, 199–212 (2011). https://doi.org/10.1007/s10704-011-9595-9

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  • DOI: https://doi.org/10.1007/s10704-011-9595-9

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