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Interaction of surface cracks on an egg-shaped pressure shell

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Abstract

This paper is focused on the interaction of surface cracks of an egg-shaped pressure shell of manned deep-sea submersibles. The surface cracks of the egg-shaped shell were subjected to the combined action of uniform external pressure and welding residual stress. The stress intensity factors were calculated using the M-integral method as an important parameter to characterize the stress and displacement fields in the vicinity of crack tips. The study is to evaluate the influence degree of the disturbing crack on the main crack and investigate the interaction between multiple cracks. The results provide references for optimizing the design and manufacture of egg-shaped pressure shells.

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References

  1. Ayhan, A.O., Yucel, U.: Stress intensity factor equations for mixed-mode surface and corner cracks in finite-thickness plates subjected to tension loads. Int. J. Press. Vessels Pip. 88(5–7), 181–8 (2011)

    Article  Google Scholar 

  2. Stepanova, L., Roslyakov, P.: Complete williams asymptotic expansion near the crack tips of collinear cracks of equal lengths in an infinite plane medium. Procedia Struct. Integr. 2, 1789–96 (2016)

    Article  Google Scholar 

  3. Xiao, X.K., Yan, X.Q.: A new numerical analysis for a semi-circular surface crack. Eng. Fract. Mech. 74(16), 2639–41 (2006)

    Article  Google Scholar 

  4. Lv, F., Zhou, C.Y., Cheng, R.J., et al.: A numerical analysis based on M-integral about the interaction of parallel surface cracks in an infinite plate. Theor. Appl. Fract. Mech. 96, 370–9 (2018)

    Article  Google Scholar 

  5. Xiao, X.K., Yang, X.Q.: A numerical analysis for cracks emanating from a surface semi-spherical cavity in an infinite elastic body by FRANC3D. Eng. Fail. Anal. 15(1–2), 188–192 (2008)

    Article  Google Scholar 

  6. Pasca, N., Marsavita, L., Negru, R., et al.: Estimation of the stress intensity factor for 3D cracked t-joint. In: International Conference. pp. 273–280 (2013)

  7. Wu, W.J., Henk, K., Milan, V.: Stress intensity factors of the rib-to-deck welded joint at the crossbeam conjunction in OSDs. Procedia Struct. Integr. 13, 2017–2023 (2018)

    Article  Google Scholar 

  8. Jie, Z.Y., Li, Y.D., Wei, X.: A study of fatigue crack growth from artificial corrosion pits at welded joints under complex stress fields. Fatigue Fract. Eng. M. 40(9), 1364–1377 (2017)

    Article  Google Scholar 

  9. Zhang, J., Wang, M.L., Wang, W.B., et al.: Investigation on egg-shaped pressure shells. Mar. Struct. 52, 50–66 (2017)

    Article  Google Scholar 

  10. Zhang, J., Zhu, B.Y., Wang, F., et al.: Buckling of prolate egg-shaped domes under hydrostatic external pressure. Thin Walled Struct. 119, 296–303 (2017)

    Article  Google Scholar 

  11. Zhang, J., Hua, Z.D., Wang, F., et al.: Buckling of an egg-shaped shell with varying wall thickness under uniform external pressure. Ships Offshore Struct. 14(6), 559–569 (2019)

    Article  Google Scholar 

  12. Narushin, V.G.: Shape geometry of the avian egg. J. Agr. Eng. Res. 79(2), 441–448 (2001)

    Article  Google Scholar 

  13. Fracture Analysis Consultants Inc., FRANC3D Reference Manual Version 7.1, USA (2016)

  14. Germanischer Lloyd Group: Rules for Classification and Construction. Germanischer Lloyd, Hamburg (2009)

    Google Scholar 

  15. Ikushima, K., Shibahara, M.: Large-scale non-linear analysis of residual stresses in multi-pass pipe welds by idealized explicit FEM. Weld. World 59(6), 839–50 (2015)

    Article  Google Scholar 

  16. Newman, J.C., Raju, I.S.: An empirical stress-intensity factor equation for the surface crack. Eng. Fract. Mech. 15(1–2), 185–192 (1981)

    Article  Google Scholar 

  17. Rice, J.R.: A path independent integral and approximate analysis of strain concentrations by notches and cracks. J. Appl. Mech. 35(2), 379–86 (1968)

    Article  Google Scholar 

  18. Wawrzynek, P.A., Carter, B.J., Banks-Sills, L.: The M-Integral for computing stress intensity factors in generally anisotropic materials. NASA Consultant Reports; 2005

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Acknowledgements

This work was supported by the State Key Program of National Natural Science of China [Grant Number 51439004] Natural Science Research of Colleges and Universities in Jiangsu Province  [Grant Number 19KJA530002], and Graduate Research and Practice Innovation in Jiangsu Province [Grant Number SJCX19_0608].

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Authors and Affiliations

  1. School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, China

    Yongmei Zhu, Rujun Li, Wenjing Fang, Wenxian Tang, Baoji Yin & Jian Zhang

  2. College of Mechanical Engineering, Saitama Institute of Technology, Saitama, 369-0293, Japan

    Xilu Zhao

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  1. Yongmei Zhu
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  2. Rujun Li
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  7. Jian Zhang
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Correspondence to Yongmei Zhu.

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Zhu, Y., Li, R., Fang, W. et al. Interaction of surface cracks on an egg-shaped pressure shell. Arch Appl Mech 90, 2589–2596 (2020). https://doi.org/10.1007/s00419-020-01738-8

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