|Table of Contents|

Citation:
 Zijie Song,Zhiqiang Hu,Jonas W. Ringsberg.Critical Void Volume Fraction Identification Based on Mesoscopic Damage Model for NVA Shipbuilding Steel[J].Journal of Marine Science and Application,2019,(4):444-456.[doi:10.1007/s11804-019-00117-2]
Click and Copy

Critical Void Volume Fraction Identification Based on Mesoscopic Damage Model for NVA Shipbuilding Steel

Info

Title:
Critical Void Volume Fraction Identification Based on Mesoscopic Damage Model for NVA Shipbuilding Steel
Author(s):
Zijie Song1 Zhiqiang Hu2 Jonas W. Ringsberg3
Affilations:
Author(s):
Zijie Song1 Zhiqiang Hu2 Jonas W. Ringsberg3
1 State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2 School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, UK;
3 Department of Mechanics and Maritime Sciences, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
Keywords:
Ship collision and groundingGuson-Tvergaard-Needleman modelNVA steelDuctile fractureFinite element method
分类号:
-
DOI:
10.1007/s11804-019-00117-2
Abstract:
NVA mild steel is a commonly used material in the shipbuilding industry. An accurate model for description of this material’s ductile fracture behaviour in numerical simulation is still a challenging task. In this paper, a new method for predicting the critical void volume fraction fc in the Guson-Tvergaard-Needleman (GTN) model is introduced to describe the ductile fracture behaviour of NVA shipbuilding mild steel during ship collision and grounding scenarios. Most of the previous methods for determination of the parameter fc use a converse method, which determines the values of the parameters through comparisons between experimental results and numerical simulation results but with high uncertainty. A new method is proposed based on the Hill, Bressan, and Williams hypothesis, which reduces the uncertainty to a satisfying extent. To accurately describe the stress-strain relationship of materials before and after necking, a combination of the Voce and Swift models is used to describe the material properties of NVA mild steel. A user-defined material subroutine has been developed to enable the application of the new parameter determination method and its implementation in the finite element software LS-DYNA. It is observed that the model can accurately describe structural damage by comparing the numerical simulation results with those of experiments; thus, the results demonstrate the model’s capacity for structural response prediction in ship collision and grounding scenario simulations

References:

Alsos HS, Hopperstad OS, Törnqvist R, Amdahl J (2008) Analytical and numerical analysis of sheet metal instability using a stress based criterion. Int J Solids Struct 45(7-8):2042-2055. https://doi.org/10.1016/j.ijsolstr.2007.11.015
Aravas N (2010) On the numerical integration of a class of pressuredependent plasticity models. Int J Numer Methods Eng 24(7):1395-1416. https://doi.org/10.1002/nme.1620240713
Becker R, Smelser RE, Richmond O (1989) The effect of void shape on the development of damage and fracture in plane-strain tension. J Mech Physics Solids 37(1):l11-l129. https://doi.org/10.1016/0022-5096(87)90007-x
Bonora N (1999) Ductile damage parameters identification and measurements. J Strain Anal Eng Des 34(6):463-478. https://doi.org/10.1243/0309324991513894
Bressan JD, Williams JA (1983) The use of a shear instability criterion to predict local necking in sheet metal deformation. Int J Mech Sci 25(3):155-168. https://doi.org/10.1016/0020-7403(83)90089-9
Brunet M, Morestin F, Walter-Leberre H (2005) Failure analysis of anisotropic sheet-metals using a non-local plastic damage model. J Mater Proc Tech 170(1):457-470. https://doi.org/10.1016/j.jmatprotec.2005.05.046
Calle MAG, Oshiro RE, Alves M (2017) Ship collision and grounding:scaled experiments and numerical analysis. Int J Impact Eng 103:195-210.https://doi.org/10.1016/j.ijimpeng.2017.01.021
Chu CC, Needleman A (1980) Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol 102(3):249. https://doi.org/10.1115/1.3224807
Cockcroft MG, Latham DJ (1968) Ductility and the workability of metals. J Inst Met 96:33-39
Croix P, Lauro F, Oudin J, Christlein J (2003) Improvement of damage prediction by anisotropy of microvoids. J Mater Proc Tech 143(1):202-208. https://doi.org/10.1016/s0924-0136(03)00420-5
Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth:part I-yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99(1):297-300
Hill R (1952) On discontinuous plastic states, with special reference to localized necking in thin sheets. J Mech Physics Solids 1(1):19-30.https://doi.org/10.1016/0022-5096(52)90003-3
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
Johnson GR, Cook WH (1983). A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures.Proceedings of the 7th International Symposium on Ballistics. The Hague, Netherlands, 541-547
Karlsson UB, Ringsberg JW, Johnson E, Hoseini M, Ulfvarson A (2009)Experimental and numerical investigation of bulb impact with a ship side-shell structure. Mar Technol 46(1):16-26. https://doi.org/10.1080/10641190903143272
Kuna M, Sun DZ (1996) Three-dimensional cell model analyses of void growth in ductile materials. Int J Fract 81(3):235-258. https://doi.org/10.1007/bf00039573
Lehmann E, Yu X (1998) On ductile rupture criteria for structural tear in the case of ship collision and grounding. Proceedings of 7th International Symposium on Practical Design of Ships and Mobile Units, Hague, 149-156. https://doi.org/10.1016/S0928-2009(98)80149-2
Liu J, Meng C, Yufeng G (2015a) A comparative study of failure criteria in ship collision simulations. Chin J Ship Res 10(4):79-85. https://doi.org/10.3969/j.issn.1673-3185.2015.04.012
Liu K, Wang Z, Tang W, Zhang Y, Wang G (2015b) Experimental and numerical analysis of laterally impacted stiffened plates considering the effect of strain rate. Ocean Eng 99:44-54. https://doi.org/10.1016/j.oceaneng.2015.03.007
Mahnken R (1999) Aspects on the finite-element implementation of the Gurson model including parameter identification. Int J Plast 15(11):1111-1137
Michel JC, Suquet P (1992) The constitutive law of nonlinear viscous and porous materials. J Mech Physics Solids 40(4):783-812. https://doi.org/10.1016/0022-5096(92)90004-l
Needleman A, Tvergaard V (1984) An analysis of ductile rupture in notched bars. J Mech Physics Solids 32(6):461-490. https://doi.org/10.1016/0022-5096(84)90031-0
Prabowo AR, Cao B, Bae DM, Bae SY, Zakki AF, Sohn JM (2017)Structural analysis of the double bottom structure during ship grounding by finite element approach. Latin Am J Solids Struct 14(6):1106-1123. https://doi.org/10.1590/1679-78253648
Rice JR, Tracey DM (1969) On the ductile enlargement of voids in triaxial stress fields. J Mech Physics Solids 17(3):201-217. https://doi.org/10.1016/0022-5096(69)90033-7
Roy GL, Embury JD, Edwards G, Ashby MF (1981) A model of ductile fracture based on the nucleation and growth of voids. Acta Metall 29(8):1509-1522. https://doi.org/10.1016/0001-6160(81)90185-1
Swift HW (1952) Plastic instability under plane stress. J Mech Physics Solids 1:1-18. https://doi.org/10.1002/zamm.19750551209
Thomason PF (1985) A three-dimensional model for ductile fracture by the growth and coalescence of microvoids. Acta Metall 33(6):1087-1095. https://doi.org/10.1016/0001-6160(85)90202-0
Törnqvist R (2003) Technical University of Denmark, Lyngby (ed)Design of crashworthy ship structure. PhD thesis, 7-33
Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17(4):389-407. https://doi.org/10.1007/bf00036191
Tvergaard V (1982) On localization in ductile materials containing spherical voids. Int J Fract 18(4):237-252. https://doi.org/10.1007/BF00015686
Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32(1):157-169. https://doi.org/10.1016/0001-6160(84)90213-x
Veritas DN (2007). Rules for classification of ships/high speed, lightcraft and naval surface craft:Det Norske Veritas, Høvik, Norway. Part 2, Chapter 1-2
Voce E (1948) The relationship between stress and strain for homogeneous deformation. J Inst Met 74:537-562

Memo

Memo:
Received date:2018-10-22;Accepted date:2019-01-02。
Corresponding author:Zhiqiang Hu,zhiqiang.hu@ncl.ac.uk
Last Update: 2020-02-04