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［2016--09--01］． http: / / dx． doi． org /10． 1016 /j． ijplas． 2016． 04． 014 ［4］ Merklein M，Allwood J M，Behrens B A，et al． Bulk forming of sheet metal． CIＲP Ann Manuf Technol，2012，61( 2) : 725 ［5］ McClintock F A，Kaplan S M，Berg C A． Ductile fracture by hole growth in shear bands． Int J Fract Mech，1966，2( 4) : 614 ［6］ Ｒice J Ｒ，Tracey D M． On the ductile enlargement of voids in tri￾axial stress fields． J Mech Phys Solids，1969，17( 3) : 201 ［7］ Gurson A L． Continuum theory of ductile rupture by void nuclea￾tion and growth: Part I． Yield criteria and flow rules for porous ductile media． J Eng Mater Technol，1977，99( 1) : 2 ［8］ Tvergaard V，Needleman A． Analysis of the cup-cone fracture in a round tensile bar． Acta Metall，1984，32( 1) : 157 ［9］ Nahshon K，Hutchinson J W． Modification of the Gurson model for shear failure． Eur J Mech A Solids，2008，27( 1) : 1 ［10］ Xue L． Constitutive modeling of void shearing effect in ductile frac￾ture of porous materials． Eng Fract Mech，2008，75( 11) : 3343 ［11］ Li H，Fu M W，Lu J，et al． Ductile fracture: experiments and computations． Int J Plast，2011，27( 2) : 147 ［12］ Chaboche J L． Anisotropic creep damage in the framework of continuum damage mechanics． Nucl Eng Des，1984，79 ( 3 ) : 309 ［13］ Lemaitre J． Local approach of fracture． Eng Fract Mech，1986， 25( 5) : 523 ［14］ Cao T S，Gaillac A，Montmitonnet P，et al． Identification meth￾odology and comparison of phenomenological ductile damage models via hybrid numerical-experimental analysis of fracture ex￾periments conducted on a zirconium alloy． Int J Solids Struct， 2013，50( 24) : 3984 ［15］ Cao T S，Gachet J M，Montmitonnet P，et al． A lode-dependent enhanced Lemaitre model for ductile fracture prediction at low stress triaxiality． Eng Fract Mech，2014，124-125: 80 ［16］ Freudenthal A M． The Inelastic Behavior of Engineering Materials and Structures． John Wiley ＆ Sons，Inc，1950 ［17］ Bai Y L，Wierzbicki T． Application of extended Mohr-Coulomb criterion to ductile fracture． Int J Fract，2010，161: 1 ［18］ Lou Y S，Huh H，Lim S，et al． New ductile fracture criterion for prediction of fracture forming limit diagrams of sheet metals． Int J Solids Struct，2012，49( 25) : 3605 ［19］ Lou Y S，Huh H． Prediction of ductile fracture for advanced high strength steel with a new criterion: experiments and simulation． J Mater Process Technol，2013，213( 8) : 1284 ［20］ Algarni M，Bai Y L，Choi Y． A study of Inconel 718 dependen￾cy on stress triaxiality and Lode angle in plastic deformation and ductile fracture． Eng Fract Mech，2015，147: 140 ［21］ Zhuang X C，Wang T T，Zhu X F，et al． Calibration and appli￾cation of ductile fracture criterion under non-proportional loading condition． Eng Fract Mech，2016，165: 39 ［22］ Kiran Ｒ，Khandelwal K． A triaxiality and Lode parameter dependent ductile fracture criterion． Eng Fract Mech，2014，128: 121 ［23］ Tvergaard V． Behaviour of voids in a shear field． Int J Fract， 2009，158( 1) : 41 ［24］ Barsoum I，Faleskog J． Micromechanical analysis on the influ￾ence of the Lode parameter on void growth and coalescence． Int J Solids Struct，2011，48( 6) : 925 ［25］ Brünig M，Gerke S，Hagenbrock V． Micro-mechanical studies on the effect of the stress triaxiality and the Lode parameter on ductile damage． Int J Plast，2013，50: 49 ［26］ Danas K，Castaeda P P． Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materi￾als． Int J Solids Struct，2012，49( 11) : 1325 ［27］ Ghajar Ｒ，Mirone G，Keshavarz A． Ductile failure of X100 pipe￾line steel: experiments and fractography． Mater Des，2013，43: 513 ［28］ Qian L Y，Fang G，Zeng P，et al． Experimental and numerical investigations into the ductile fracture during the forming of flat￾rolled 5083--O aluminum alloy sheet． J Mater Process Technol， 2015，220: 264 ［29］ Bao Y B，Wierzbicki T． On fracture locus in the equivalent strain and stress triaxiality space． Int J Mech Sci，2004，46( 1) : 81 ［30］ Achouri M，Germain G，Santo P D，et al． Experimental charac￾terization and numerical modeling of micromechanical damage un￾der different stress states． Mater Des，2013，50: 207 ［31］ Lou Y S，Huh H． Evaluation of ductile fracture criteria in a gen￾eral three-dimensional stress state considering the stress triaxiality and the lode parameter． Acta Mech Solida Sin，2013，26 ( 6) : 642 ［32］ Samei J，Green D E，Cheng J，et al． Influence of strain path on nucleation and growth of voids in dual phase steel sheets． Mater Des，2016，92: 1028 ［33］ Gruben G，Morin D，Langseth M，et al． Strain localization and ductile fracture in advanced high-strength steel sheets． Eur J Mech A Solids，2016，61: 315 · 665 ·