A crack propagation simulation for a steel CHS T-joint employing an advanced shell-solid finite element modeling

Journal of Marine Science and Technology - Tập 27 - Trang 1-15 - 2021
S. Tanaka1, K. Maeda1, H. Takahashi1, H. Okada2, K. Yagi3, N. Osawa4
1Graduate School of Advanced Science and Engineering, Hiroshima University, Higashi-Hiroshima, Japan
2Department of Mechanical Engineering, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
3Shin Kurushima Sanoyas Shipbuilding Co,.Ltd., Kurashiki, Japan
4Department of Naval Architecture and Ocean Engineering, Osaka University, Suita, Japan

Tóm tắt

An efficient crack propagation (CP) simulation system based on a shell-solid finite element (FE) modeling is newly established. Three-dimensional (3D) CP simulation for a curvilinearly propagating surface crack in a steel circular hollow section (CHS) T-joint is carried out. Entire model is generated by a shell FEs, and cracked welded part is generated by a solid FEs. They are connected with a rigid body element (RBE). Stress intensity factors (SIFs) are computed for analyzing CP rate and CP direction of the crack employing the virtual crack closure-integral method (VCCM) with quadratic tetrahedral FEs. When the crack extends, only solid model is regenerated. To examine the effectiveness of the modeling, fatigue testing and simplified CP simulation results are employed. Hot spot stress (HSS) and weld toe magnification factor (Mk factor) formulas are used for the simplified CP method. CP phenomena of the fatigue test are studied through the fatigue assessment methods.

Tài liệu tham khảo

ISO 19902 (2007) Petroleum and natural gas industries—fixed steel offshore structures. ISO, Geneva Yagi J, Machida S, Matoba M, Tomita Y, Soya I (1993) Thickness effect criterion for fatigue strength evaluation of welded steel structures. J Offshore Mech Arctic Eng 115:58–65 Hobbacher AF (ed) (1996) Recommendations for fatigue strength of welded components. Abington Publishers, Cambridge van Wingerde AM, Packer JA, Wardenier J (1995) Criteria for the fatigue assessment of hollow structural section connections. J Constr Steel Res 35:71–115 Osawa N, Yamamoto N, Fukuoka T, Sawamura J, Nagai H, Maeda S (2011) Study on the preciseness of hot spot stress of web-stiffened cruciform welded joints derived from shell finite element analyses. Mar Struct 24:207–238 Sumi Y (2014) Fatigue crack propagation in marine structures under seaway loading. Int J Fatig 58:218–224 He W, Liu J, Xie D (2014) Numerical study on fatigue crack growth at a web-stiffener of ship structural details by an objected-oriented approach in conjunction with ABAQUS. Mar Struct 35:45–69 Qiao W, Sun J, Xie D (2014) Development of super element to perform direct analysis on failure assessment of hull structures based on FAD. Mar Struct 39:373–394 Tanaka S, Kawahara T, Okada H (2014) Study on crack propagation simulation of surface crack in welded joint structure. Mar Struct 39:315–334 Tanaka S, Okada H, Okazawa S, Fujikubo M (2013) Fracture mechanics analysis using the wavelet Galerkin method and extended finite element method. Int J Numer Meth Eng 93:1082–1108 Matsuda K, Gotoh K (2015) Numerical simulation of fatigue crack propagation under superimposed stress histories containing different frequency components with several mean stress conditions. Mar Struct 41:77–95 Gotoh K, Niwa T, Anai Y (2015) Numerical simulation of fatigue crack propagation under biaxial tensile loadings with phase differences. Mar Struct 42:53–70 Gadallah R, Osawa N, Tanaka S, Tsutsumi S (2018) Critical investigation on the influence of welding heat input and welding residual stress on stress intensity factor and fatigue crack propagation. Eng Fail Anal 89:200–221 Dai MJ, Tanaka S, Sadamoto S, Yu TT, Bui TQ (2020) Advanced reproducing kernel meshfree modeling of cracked curved shells for mixed-mode stress resultant intensity factors. Eng Fract Mech 233:107012 Maddox SJ (2002) Fatigue strength of welded structures, 2nd edn. Woodhead Publishing, Sawston Fricke W (2003) Fatigue analysis of welded joints: state of development. Mar Struct 16:185–200 Department of Energy, UK, Offshore Installations (1990) Guidance on design, construction and certification. H.M.S.O, London Det Norske Veritas (2021) Fatigue design of offshore steel structures. DNV-RP-C203, Baerum Bowness D, Lee MMK (2002) Fracture mechanics assessment of fatigue cracks in offshore tubular structures, OTO Report 2000/077. Health and Safety Executive. https://www.hse.gov.uk/research/otopdf/2000/oto00077.pdf. Accessed 9 Jun 2021 Lee MMK, Bowness D (2002) Estimation of stress intensity factor solutions for weld toe cracks in offshore tubular joints. Int J Fatig 24:861–875 Qian X, Dodds RH Jr, Choo YS (2005) Mode mixity for circular hollow section X joints with weld toe cracks. J Offshore Mech Arctic Eng 127:269–279 Qian X, Dodds RH Jr, Choo YS (2006) Mode mixity for tubular K-joints with weld toe cracks. Eng Fract Mech 73:1321–1342 Qian X (2013) Failure assessment diagrams for circular hollow section X- and K-joints. Int J Pres Ves Pip 104:43–56 Qian X, Ou Z, Swaddiwudhipong S, Marshall PW (2013) Brittle failure caused by lamellar splitting in a large-scale tubular joint with fatigue cracks. Mar Struct 34:185–204 Wang X, Lambert SB (2003) On the calculation of stress intensity factors for surface cracks in welded pipe-plate and tubular joints. Int J Fatig 25:89–96 Qiang B, Wang X (2020) Evaluating stress intensity factors for surface cracks in an orthotropic steel deck accounting for the welding residual stresses. Theor Appl Fract Mech 110:102827 Ahmadi H, Lotfollahi-Yaghin MA, Aminfar MH (2011) Distribution of weld toe stress concentration factors on the central brace in two-planer CHS DKT-connections of steel offshore structures. Thin-Walled Struct 49:1225–1236 Ahmadi H, Lotfollahi-Yaghin MA, Aminfar MH (2011) Geometrical effect on SCF distribution in uni-planer tubular DKT-joints under axial loads. J Constr Steel Res 67:1282–1291 Ahmadi H, Lotfollahi-Yaghin MA (2012) A probability distribution model for stress concentration factors in multi-planar tubular DKT-joints of steel offshore structures. Appl Ocean Res 34:21–32 Ahmadi H, Lotfollahi-Yaghin MA (2015) Stress concentration due to in-plane bending (IPB) loads in ring-stiffened tubular KT-joints of offshore structures: Parametric study and design formulation. Appl Ocean Res 51:54–66 Gadallah R, Tsutsumi S, Tanaka S, Osawa N (2020) Accurate evaluation of fracture parameters for a surface-cracked tubular T-joint taking welding residual stress into account. Mar Struct 71:102733 Maeda K, Tanaka S, Takahashi H, Yagi K, Osawa N (2021) Mechanical evaluation for a fatigue fracture surface generated in steel T-shaped tubular joints with different weld toe radius. J Soc Naval Arch Jpn 32:141–152 ((in Japanese)) Yagi K, Tanaka S, Kawahara T, Nihei K, Okada H, Osawa N (2017) Evaluation of crack propagation behaviors in tubular T-joints. Int J Fatig 96:270–282 Yagi K, Osawa N, Tanaka S, Kuroda K (2018) Study on SN-based and FCP-based fatigue assessment techniques for T-shaped tubular welded joint. J Soc Naval Arch Jpn 28:13–26 ((in Japanese)) TechnoStar Co.,Ltd. (2016) TSV-Crack V6.6 Manual Rev1 Okada H, Kawai H, Araki K (2008) A virtual crack closure-integral method (VCCM) to compute the energy release rates and stress intensity factors based on quadratic tetrahedral finite elements. Eng Fract Mech 75:4466–4485 Department of Energy (1984) Background to new fatigue design guidance for steel welded joints in offshore structures. H.M.S.O., London Newman JC Jr, Raju IS (1981) An empirical stress-intensity factor equation for the surface crack. Eng Fract Mech 15:185–192 Hirai I, Wang BP, Pilkey WD (1984) An efficient zooming method for finite element analysis. Int J Numer Methods Eng 20:1671–1683 Sun CT, Mao KM (1988) A global-local finite element method suitable for parallel computations. Comput Struct 29:309–315 Whitcomb JD (1991) Iterative global/local finite element analysis. Comput Struct 40:1027–1031 Nakasumi S, Suzuki K, Fujii D, Ohtsubo H (2003) Mixed analysis of shell and solid elements using the overlaying mesh method. J Mar Sci Tech 7:180–188 Nakasumi S, Suzuki K, Ohtsubo H (2008) Crack growth analysis using mesh superposition technique and X-FEM. Int J Numer Methods Eng 75:291–304 Tanaka S, Okada H, Watanabe Y, Wakatsuki T (2006) Applications of s-FEM to the problems of composite materials with initial strain-like terms. Int J Multiscale Comput Eng 4:411–428 Ooya T, Tanaka S, Okada H (2009) On the linear dependencies of interpolation functions in s-version finite element method. J Comput Sci Tech 3:124–135 Osawa N, Hashimoto K, Sawamura J, Nakai T, Suzuki S (2007) Study on shell-solid coupling FE analysis for fatigue assessment of ship structure. Mar Struct 20:143–163 Tanaka S, Okazawa S, Okada H, Xi Y, Ohtsuki Y (2013) Analysis of three-dimensional surface crack in welded joint structure using shell-solid mixed method. Int J Offshore Polar Eng 23:224–231 Cofer WF, Will KM (1991) A three-dimensional, shell-solid transition element for general nonlinear analysis. Comput Struct 38:449–462 Gmür TC, Schorderet AM (1993) A set of three-dimensional solid to shell transition elements for structural dynamics. Comput Struct 46:583–591 McCune RW, Armstrong CG, Robinson DJ (2000) Mixed-dimensional coupling in finite element models. Int J Numer Methods Eng 49:725–750 Shim KW, Monaghan DJ, Armstrong CG (2002) Mixed dimensional coupling in finite element stress analysis. Eng Comput 18:241–252 Marc (2010) User’s guide MSC Software Tanaka S, Sujiatanti SH, Setoyama Y, Yu J, Yanagihara D, Pei Z (2019) Buckling and collapse analysis of a cracked panel under a sequence of tensile to compressive load employing a shell-solid mixed finite element modeling. Eng Fail Anal 104:987–1001 Maddox SJ (1975) An analysis of fatigue cracks in fillet welded joints. Int J Fract 11:221–243 Niu X, Glinka G (1987) The weld profile effect on stress intensity factors in weldments. Int J Fract 35:3–20 Hobbacher A (1992) Stress intensity factors of plates under tensile load with welded-on flat side gussets. Eng Fract Mech 41:897–905 Hobbacher A (1993) Stress intensity factors of welded joints. Eng Fract Mech 46:173–182 Fu B, Haswell JV, Bettess P (1993) Weld magnification factors for semi-elliptical surface cracks in fillet welded T-butt joint models. Int J Fract 63:155–171 Bowness D, Lee MMK (2000) Prediction of weld toe magnification factors for semi-elliptical cracks in T-butt joints. Int J Fatig 22:369–387 Bowness D, Lee MMK (2000) Weld toe magnification factors for semi-elliptical cracks in T-butt joints—comparison with existing solutions. Int J Fatig 22:389–396 Newman Jr JC, Raju IS (1981) Stress-Intensity factor equations for cracks in three-dimensional finite bodies. NASA Technical Memorandum 83200. https://ntrs.nasa.gov/api/citations/19810023035/downloads/19810023035.pdf. Accessed 9 Jun 2021 MSC.Nastran (2018) Quick Reference Guide MSC Software Fatigue design recommendation for steel structures (2012) Japanese Society of Steel Construction (JSSC) ((in Japanese)) Dell'Erba DN, Aliabadi MH (2000) Three-dimensional thermo-mechanical fatigue crack growth using BEM. Int J Fatig 22:261–273 Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng Trans ASME 85:519–527