Multi-Crack Interaction and Influence on the Spherical Pressure Hull for a Deep-Sea Manned Submersible

Abstract

This study investigates the interaction and influence of surface cracks on the spherical pressure hull of a deep-sea manned submersible. The finite element model of the spherical hull is established, and a semi-elliptical surface crack is inserted in the welding toe of the spherical hull as the main crack. Considering the combined effect of external uniform pressure and welding residual stress at the weld toe, the stress intensity factor (SIF) is obtained based on the M-integral method. Inserting disturbing cracks at different positions on the spherical hull surface, the interaction and influence between multi-cracks are revealed by numerical calculation. The results show that the existence of the disturbing crack has a great influence on the stress intensity factor of the main crack, and the influence is different with the different location of disturbing crack. The study of the interaction of multiple cracks under different interference factors and the influence of disturbing cracks on the main crack can provide some reference for future engineering applications.

Keywords

Spherical pressure hull / Surface cracks / Multi-crack interaction / Stress intensity factor / Welding residual stress / Manned submersible / Finite element model

References

[1] Ai SM, Yu M, Cheng XM, Wang JF. Analysis and application of three-dimensional crack growth based on FRANC3D. Journal Mech Strength, 2018, 40(1): 251-254

[2] Al-Mukhtar AM. Consideration of the residual stress distributions in fatigue crack growth calculations for assessing welded steel joints. Fatigue Fract Eng Mater Struct, 2013, 36(12): 1352-1361

[3] Ayhan AO, Yücel U. Stress intensity factor equations for mixed-mode surface and corner cracks in finite-thickness plates subjected to tension loads. Int J Press Vessel Pip, 2011, 88(5–7): 181-188

[4] Budiansky B, Rice JR. Conservation laws and energy-release rates. J Appl Mech Trans ASME, 1973, 40(1): 201-203

[5] Chen JJ, Huang Y, Liu G. Analysis of Finite Element Model for Calculating Stress Intensity Factor Based on Crack-tip Singular Element. Sh Build China, 2010, 51(3): 56-64

[6] Fan X, Kulatilake PHSW, Chen X, Cao P. Crack initiation stress and strain of jointed rock containing multi-cracks under uniaxial compressive loading: A particle flow code approach. J Cent South Univ, 2015, 22(2): 638-645

[7] Fracture Analysis Consultants Inc. (2016). FRANC3D reference manual version 7.1. USA

[8] Freund LB. Stress intensity factor calculations based on a conservation integral. Int J Solids Struct, 1978, 14(3): 241-250

[9] Gerstle WH, Abdalla JE (1990) Finite element meshing criteria for crack problems ASTM Spec Tech Publ https://doi.org/10.1520/stp19011s

[10] Huang XP, Jia GL, Cui WC, Qi ER. Unique crack growth rate curve model for fatigue life prediction of marine steel structures. Chuan Bo Li Xue/journal Sh Mech, 2011, 15(1–2): 118-125

[11] Ikushima K, Shibahara M. Large-scale non-linear analysis of residual stresses in multi-pass pipe welds by idealized explicit FEM. Weld World, 2015, 59(6): 839-850

[12] Jie ZY, Li YD, Wei X, Yang G, Luo PJ. Numerical study of mixed-mode stress intensity factor of surface crack of welded joint. Journal of the China Railway Society, 2017, 39(2): 127-133

[13] Knowles JK, Sternberg E. On a class of conservation laws in linearized and finite elastostatics. Arch Ration Mech Anal, 1972, 44(3): 187-211

[14] Lam KY, Phua SP. Multiple crack interaction and its effect on stress intensity factor. Eng Fract Mech, 1991, 40(3): 585-592

[15] Li Q, Wang B. 3D BE analysis on stress intensity factor of a fatigue crack in a welded T-joint. Journal Chongqing Jianzhu Univ, 2000, 22(6): 29-33

[16] Li WY, Wang S, Liu T, Shen YS, Ye C. Current status and progress on pressure hull structure of manned deep submersible. Sh Build China, 2016, 57(1): 210-221

[17] Lv F, Zhou CY, Cheng RJ, Miao XT, He XH. A numerical analysis based on M-integral about the interaction of parallel surface cracks in an infinite plate. Theor Appl Fract Mech, 2018, 96(May): 370-379

[18] Newman JC, Raju IS. An empirical stress-intensity factor equation for the surface crack. Eng Fract Mech, 1981, 15(1–2): 185-192

[19] Pasca N, Marsavina L, Negru R (2013) Estimation of the stress intensity factor for 3D cracked T-Joint Des Fabr Econ Met Struct 573–280 https://doi.org/10.1007/978-3-642-36691-8

[20] Perl M, Steiner M. 3-D stress intensity factors due to full autofrettage for inner radial or coplanar crack arrays and ring cracks in a spherical pressure vessel. Eng Fract Mech, 2015, 138: 233-249

[21] Perl M, Steiner M. The beneficial effect of full or partial autofrettage on the combined 3-D stress intensity factors for inner coplanar crack arrays and ring cracks in a spherical pressure vessel. Eng Fract Mech, 2018, 191: 426-440

[22] Perl M, Steiner M, Perry J. 3-D stress intensity factors due to autofrettage for an inner radial lunular or crescentic crack in a spherical pressure vessel. Procedia Struct Integr, 2016, 138(2): 3625-3646

[23] Rice JR. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech Trans ASME, 1964, 35(2): 379-388

[24] Rybicki EF, Kanninen MF. A finite element calculation of stress intensity factors by a modified crack closure integral. Eng Fract Mech, 1977, 9(4): 931-938

[25] 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, 2016, 2: 1789-1796

[26] Wang JC, Gao YK. The stress intensity factor calculation for combined sliding wear and fatigue of GH4169 superalloy based on three-dimensional simulation. Wear, 2019, 2019: 436-437

[27] Wawrzynek PA, Carter BJ, Banks-Sills L (2005) The M-integral for computing stress intensity factors in generally anisotropic materials. Nasa/Cr- 2005–214006, July, 1 online resource (v, 81 p.).

[28] Xiao X, Yan X. A new numerical analysis for a semi-circular surface crack. Eng Fract Mech, 2007, 74(16): 2639-2641

[29] Xiong X, Yang Y, Wang Z, Gan J, Wang XL, Gai WY, Li Y. Three-dimensional fatigue crack propagation analysis and life prediction based on co-simulation of FRANC3D and ABAQUS. Journal of Wuhan University of Technology (Transportation Science & Engineering), 2020, 3: 506-512

[30] Yu MH, Wang RH, Wang ZL, Li LB. Research on the ultimate strength of pressure spherical shell with openings in manned deep-sea submersible. Sh Build China, 2005, 46(4): 92-96

[31] Zhang J, Gao J, Wang WB, Tang WX, Zhou T. Investigation on mechanical properties of deep sea spherical pressure hull. Sh Build China, 2015, 56(4): 129-140

[32] Zhu YM, Li RJ, Fang WJ, Zhao XL, Tang WX, Yin BJ, Zhang J. Interaction of surface cracks on an egg-shaped pressure shell. Arch Appl Mech, 2020, 90(12): 2589-2596