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