Emerging Challenges for Numerical Simulations of Quasi-Static Collision Experiments on Laser-Welded Thin-Walled Steel Structures

Journal of Marine Science and Application - Tập 19 - Trang 567-583 - 2020
Jani Romanoff1, Mihkel Körgesaar2, Heikki Remes1
1Department of Mechanical Engineering, Aalto University, Espoo, Finland
2Estonian Maritime Academy, Tallinn University of Technology, Kuressaare, Estonia

Tóm tắt

This paper re-evaluates recently published quasi-static tests on laser-welded thin-walled steel structures in order to discuss the fundamental challenges in collision simulations based on finite element analysis. Clamped square panels were considered, with spherical indenter positioned at the mid-span of the stiffeners and moved along this centerline in order to change the load-carrying mechanism of the panels. Furthermore, the use of panels with single-sided flat bar stiffening and web-core sandwich panels enabled the investigation of the effect of structural topology on structural behavior and strength. The changes in loading position and panel topology resulted in different loading, structural and material gradients. In web-core panels, these three gradients occur at the same locations making the panel global responses sensitive for statistical variations and the failure process time-dependent. In stiffened panel with reduced structural gradient, this sensitivity and time-dependency in failure process is not observed. These observations set challenges to numerical simulations due to spatial and temporal discretization as well as the observed microrotation, which is beyond the currently used assumptions of classical continuum mechanics. Therefore, finally, we discuss the potential of non-classical continuum mechanics as remedy to deal with these phenomena and provide a base for necessary development for future.

Tài liệu tham khảo

Abubakar A, Dow RS (2013) Simulation of ship grounding damage using the finite element method. Int J Solids Struct 50(5):623–636. https://doi.org/10.1016/j.ijsolstr.2012.10.016 Alsos HS, Amdahl J (2009) On the resistance to penetration of stiffened plates, part I–experiments. Int J Impact Eng 36(6):799–807. https://doi.org/10.1016/j.ijimpeng.2008.10.005 Alsos HS, Amdahl J, Hopperstad OS (2009) On the resistance to penetration of stiffened plates, part II: numerical analysis. Int J Impact Eng 36(7):875–887. https://doi.org/10.1016/j.ijimpeng.2008.11.004 Barsoum I, Faleskog J (2007) Rupture mechanisms in combined tension and shear—experiments. Int J Solids Struct 44(6):1768–1786. https://doi.org/10.1016/j.ijsolstr.2006.09.031 Bazant ZP, Jirasek M (2002) Nonlocal integral formulations of plasticity and damage. J Eng Mech 128(11):1119–1149 Berntson K, Körgesaar M, Reinaldo Goncalves B and Romanoff J (2019) The influence of modelling weld effects when optimizing thin-walled structures for crashworthiness. Proceedings of the 29th International Ocean and Polar Engineering Conference ISOPE-2019 Conference, Honolulu, HI, USA, June 16-21, 2019: 280-4287 Boronski D, Szala J (2006) Test of local strains in steel laser-welded sandwich structure. Polish Maritime Research, Special Issue, 31–36 Calle MAG, Salmi M, Mazzariol LM, Kujala P (2020) Miniature reproduction of raking tests on marine structure: similarity technique and experiment. Eng Struct 212:110527. https://doi.org/10.1016/j.engstruct.2020.110527 Choung J, Shim CS, Song HC (2012) Estimation of failure strain of EH36 high strength marine structural steel using average stress triaxiality. Mar Struct 29(1):1–21. https://doi.org/10.1016/j.marstruc.2012.08.001 Costas M, Morin D, Hopperstad OS, Børvik T, Langseth M (2019) A through-thickness damage regularisation scheme for shell elements subjected to severe bending and membrane deformations. J Mec Phys Solids 123:190–206 de Borst R (1990) Simulation of strain localization-a repraisal of the Cosserat continuum. Eng Comput 8:317–332 Dunand M, Mohr D (2014) Effect of Lode parameter on plastic flow localization after proportional loading at low stress triaxialities. J Mech Phys Solids 66(1):133–153. https://doi.org/10.1016/j.jmps.2014.01.008 Ehlers S, Varsta P (2009) Strain and stress relation for non-linear finite element simulations. Thin-Walled Struct 47(11):1203–1217. https://doi.org/10.1016/j.tws.2009.04.005 Ehlers S, Tabri K, Romanoff J, Varsta P (2012) Numerical and experimental investigation on the collision resistance of the X-core structure. Ships Offshore Struct 7(1):21–29. https://doi.org/10.1080/17445302.2010.532603 Fleck NA, Deshpande VS (2004) The resistance of clamped sandwich beams to shock loading. J Appl Mech 71(3):386–401 Frank D, Romanoff J, Remes H (2013) Fatigue strength assessment of laser stake-welded web-core steel sandwich panels. Fatigue Fract Eng Mater Struct 36(8):724–737. https://doi.org/10.1111/ffe.12038 Frodal BH, Morin D, Børvik T, Hopperstad OS (2020) On the effect of plastic anisotropy, strength and work hardening on the tensile ductility of aluminium alloys. Int J Solids Struct 188–189:118–132. https://doi.org/10.1016/j.ijsolstr.2019.10.003 Geers MGD, Kouznetsova VG, Brekelmans WAM (2019) Multi-scale computational homogenization: trends and challenges. J Comput Appl Math 234:2175–2182. https://doi.org/10.1016/j.cam.2009.08.077 Guedes Soares C, Basu R, Simonsen B.C, Egorov GV, Hung CF, Lindstrom P, Samuelides E, Vredeveldt A, Yoshikawa T (2009) Committee V.1. Damage assessment after accidental events, International Ship and Offshore Structures Congress, August 16-21, 2009, Seoul, Korea, 2: 1–72 Haltom SS, Kyriakides S, Ravi-Chandar K (2013) Ductile failure under combined shear and tension. Int J Solids Struct 50(10):1507–1522. https://doi.org/10.1016/j.ijsolstr.2012.12.009 Hogström P, Ringsberg JW (2012) An extensive study of a ship’s survivability after collision–a parameter study of material characteristics, non-linear FEA and damage stability analyses. Mar Struct 27(1):1–28. https://doi.org/10.1016/j.marstruc.2012.03.001 Hogström P, Ringsberg JW, Johnson E (2009) An experimental and numerical study of the effects of length scale and strain state on the necking and fracture behaviours in sheet metals. Int J Impact Eng 36(10–11):1194–1203. https://doi.org/10.1016/j.ijimpeng.2009.05.005 Hoogeland M, Vredevelt AW (2017) Full thickness material tests for impact analysis verification. Progress in the Analysis and Design of Marine Structures – Guedes Soares & Garbatov (Eds), 2017, 449-458 Taylor & Francis Group, London, ISBN 978-1-138-06907-7 Jones N (2013) The credibility of predictions for structural designs subjected to large dynamic loadings causing inelastic behaviour. Int J Impact Eng 53(1):106–114. https://doi.org/10.1016/j.ijimpeng.2011.12.008 Jutila M (2009) Failure mechanism of a laser stake welded T-joint. M.Sc. thesis, Helsinki University of Technology, Department of Applied Mechanics Karttunen AT, Reddy JN, Romanoff J (2019) Two-scale micropolar plate model for web-core sandwich panels. Int J Solids Struct 170:82–94. https://doi.org/10.1016/j.ijsolstr.2019.04.026 Körgesaar M, Romanoff J (2013) Influence of softening on fracture propagation in large-scale Shell structures. Int J Solids Struct 50(24):3911–3921. https://doi.org/10.1016/j.ijsolstr.2013.07.027 Kõrgesaar M, Romanoff J (2014) Influence of mesh size, stress triaxiality and damage induced softening on ductile fracture of large-scale shell structures. Mar Struct 38(1):1–17. https://doi.org/10.1016/j.marstruc.2014.05.001 Körgesaar M, Remes H, Romanoff J (2014) Size dependent response of large shell elements under in-plane tensile loading. Int J Solids Struct 51(21–22):3752–3761. https://doi.org/10.1016/j.ijsolstr.2014.07.012 Kõrgesaar M, Romanoff J, Palokangas P (2016) Penetration resistance of stiffened and web-core sandwich panels: experiments and simulations. Aalto University, Department of Mechanical Engineering, Finland. ISSN 1799-490X (pdf) Kõrgesaar M, Romanoff J, Remes H (2017) Influence of material non-linearity on load carrying mechanism and strain path in stiffened panel. Procedia Structural Integrity. 2nd International Conference on Structural Integrity, ICSI 2017, 4-7 September 2017, Funchal, Madeira, Portugal https://doi.org/10.1016/j.prostr.2017.07.050 Kõrgesaar M, Romanoff J, Remes H, Palokangas P (2018a) Experimental and numerical penetration response of laser-welded stiffened panels. Int J Impact Eng 114(1):78–92 Kõrgesaar M, Romanoff J, Palokangas P (2018b) Experimental and numerical assessment of fracture initiation in laser-welded webcore sandwich panels. Eighth International Conference on, Thin-Walled Structures - ICTWS 2018, Lisbon, Portugal, July 24–27. Ref. b Kõrgesaar M, Romanoff J, Remes H (2019) Fracture modelling of large thin-walled structures. New trends in fatigue and fracture - NT2F19, October 8–10, 2019, Tucson, Arizona, USA Li Y, Wierzbicki T (2010) Prediction of plane strain fracture of AHSS sheets with post-initiation softening. Int J Solids Struct 47(17):2316–2327. https://doi.org/10.1016/j.ijsolstr.2010.04.028 Lou Y, Huh H, Lim S, Pack K (2012) New ductile fracture criterion for prediction of fracture forming limit diagrams of sheet metals. Int J Solids Struct 49(25):3605–3615. https://doi.org/10.1016/j.ijsolstr.2012.02.016 Matous K, Geers MGD, Kouznetsova VG, Gillman A (2017) A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials. J Comput Phys 330:192–220. https://doi.org/10.1016/j.jcp.2016.10.070 Naar H, Kujala P, Simonsen BC, Ludolphy H (2002) Comparison of the crashworthiness of various bottom and side structures. Mar Struct 15(4–5):443–460. https://doi.org/10.1016/S0951-8339(02)00012-6 Namaplly P, Karttunen A, Reddy JN (2019) Nonlinear finite element analysis of lattice core sandwich beams. Eur J Mech / A Solids 74:431–439. https://doi.org/10.1016/j.euromechsol.2018.12.006 Ohtsubo H, Kawamoto Y, Kuroiwa T (1994) Experimental and numerical research on ship collision and grounding of oil tankers. Nucl Eng Des 150(2–3):385–396. https://doi.org/10.1016/0029-5493(94)90158-9 Östlund R, Oldenburg M, Häggblad HÅ, Berglund D (2015) Numerical failure analysis of steel sheets using a localization enhanced element and a stress based fracture criterion. Int J Solids Struct 56–57:1–10. https://doi.org/10.1016/j.ijsolstr.2014.12.010 Pedersen PT (2010) Review and application of ship collision and grounding analysis procedures. Mar Struct 23(3):241–262. https://doi.org/10.1016/j.marstruc.2010.05.001 Rabczuk T, Kim JY, Samaniego E, Belytschko T (2004) Homogenization of sandwich structures. Int J Numer Methods Eng 61:1009–1027 Reinaldo GB, Karttunen, A, Romanoff, J (2019) A nonlinear couple stress model for periodic sandwich beams. Compos. Struct 212:586–597 Ringsberg JW (2010) Characteristics of material, ship side structure response and ship survivability in ship collisions. Ships Offshore Struct 5(1):51–66. https://doi.org/10.1080/17445300903088707 Romanoff J, Varsta P (2007) Bending response of web-core sandwich plates. Compos Struct 81(2):292–302. https://doi.org/10.1016/j.compstruct.2006.08.021 Romanoff J, Remes H., Socha G, Jutila M (2006) Stiffness and strength testing of laser stake welds in steel sandwich panels. Helsinki University of Technology, Ship Laboratory, Report M291. ISBN951-22-8143-0, ISSN 1456-3045 Romanoff J, Remes H, Socha G, Jutila M, Varsta P (2007) The stiffness of laser stake welded T-joints in web-core sandwich structures. Thin-Walled Struct 45(4):453–462. https://doi.org/10.1016/j.tws.2007.03.008 Roth CC, Mohr D (2015) Ductile fracture experiments with locally proportional loading histories. Int J Plast 79(1):328–354. https://doi.org/10.1016/j.ijplas.2015.08.004 Rubino V, Deshpande VS, Fleck NA (2006) The dynamic response of Y-frame and corrugated core sandwich beams. Eur J Mech A/Solids 28:14–24. https://doi.org/10.1016/j.euromechsol.2008.06.001 Schreuber M, Hogström P, Ringsberg JW, Johnson E, Janson CE (2011) A method for assessment of the survival time of a ship damaged by collision. J Ship Res 55(2):86–99 Simonsen BC, Törnqvist R (2004) Experimental and numerical modelling of ductile crack propagation in large-scale shell structures. Mar Struct 17(1):1–27. https://doi.org/10.1016/j.marstruc.2004.03.004 Srinivasa AR, Reddy JN (2017) An overview of theories of continuum mechanics with nonlocal elastic response and a general framework for conservative and dissipative systems. Appl Mech Rev 69:030802-1-18 Sumi Y (2019) Structural safety of ships developed by lessons learned from the 100-year history of break-in-two accidents. Mar Struct 64:481–491. https://doi.org/10.1016/j.marstruc.2018.12.003 Tabri K, Määttänen J, Ranta J (2008) Model-scale experiments of symmetric ship collisions. J Mar Sci Technol 13(1):71–84. https://doi.org/10.1007/s00773-007-0251-z Tillbrook MT, Radford DD, Deshpande VS, Fleck NA (2007) Dynamic crushing of sandwich panels with prismatic lattice cores. Int J Solids Struct 44:6101–6123. https://doi.org/10.1016/j.ijsolstr.2007.02.015 Uppaluri R, Reddy NV, Dixit PM (2011) An analytical approach for the prediction of forming limit curves subjected to combined strain paths. Int J Mech Sci 53:365–373. https://doi.org/10.1016/j.ijmecsci.2011.02.006 Vredeveldt AW, Wevers LJ (1992) Full scale ship collision tests. First Joint Conference on marine Safety and Environment/Ship production, June 1-5. Delft University Press, Delft Wadley HNG, Børvik T, Olovsson L, Wetzel JJ, Dharmasena KP, Hopperstad OS, Deshpande VS, Hutchinson JW (2013) Deformation and fracture of impulsively loaded sandwich panels. J Mech Phys Solids 61(2):674–699. https://doi.org/10.1016/j.jmps.2012.07.007 Walters CL (2014) Framework for adjusting for both stress triaxiality and mesh size effect for failure of metals in shell structures. Int J Crashworthiness 19(1):1–12. https://doi.org/10.1080/13588265.2013.825366 Werner B, Daske C, Heyer H, Sander M, Schöttelndreyer M, Fricke W (2014) The influence of weld joints on the failure mechanism of scaled double hull structures under collision load in finite element simulations. Procedia Mater Sci 3:307–312. https://doi.org/10.1016/j.mspro.2014.06.053 Werner B, Heyer H, Sander M (2015) Numerical investigations of collision experiments considering weld joints. Eng Fail Anal 58:351–368. https://doi.org/10.1016/j.engfailanal.2015.04.021 Wierzbicki T, Bao Y, Lee YW, Bai Y (2005) Calibration and evaluation of seven fracture models. Int J Mech Sci 47(4–5):719–743. https://doi.org/10.1016/j.ijmecsci.2005.03.003 Woelke PB, Abboud NN (2012) Modeling fracture in large scale shell structures. J Mech Phys Solids 60(12):2044–2063. https://doi.org/10.1016/j.jmps.2012.07.001 Woelke PB, Shields MD, Abboud NN, Hutchinson JW (2013) Simulations of ductile fracture in an idealized ship grounding scenario using phenomenological damage and cohesive zone models. Comput Mater Sci 80(1):79–95. https://doi.org/10.1016/j.commatsci.2013.04.009 Woelke PB, Londono JG, Knoerr LO, Dykeman J, Malcolm S (2018) Fundamental differences between fracture behavior of thin sheets under plane strain bending and tension. IOP Conf Ser Mater Sci Eng 418:1–7. https://doi.org/10.1088/1757-899X/418/1/012078