On the numerical implementation of a shear modified GTN damage model and its application to small punch test

Gurson-type models have been widely used to predict failure during sheet metal forming process. However, a significant limitation of the original GTN model is that it is unable to capture fracture under relatively low stress triaxiality. This paper focused on the fracture prediction under this circumstance, which means shear-dominated stress state. Recently, a phenomenological modification to the Gurson model that incorporates damage accumulation under shearing has been proposed by Nahshon and Hutchinson. We further calibrated new parameters based on this model in 22MnB5 tensile process and developed the corresponding numerical implementation method. Lower stress triaxiality were realized by new-designed specimens. Subsequently, the related shear parameters were calibrated by means of reverse finite element method and the influences of new introduced parameters were also discussed. Finally, this shear modified model was utilized to model the small punch test (SPT) on 22MnB5 high strength steel. It is shown that the shear modification of GTN model is able to predict failure of sheet metal forming under wide range of stress state.

[1]  John W. Hutchinson,et al.  Calibration procedures for a computational model of ductile fracture , 2010, Engineering Fracture Mechanics.

[2]  M. Kuna,et al.  Quantification of brittle-ductile failure behavior of ferritic reactor pressure vessel steels using the Small-Punch-Test and micromechanical damage models , 2014 .

[3]  Viggo Tvergaard,et al.  Flow Localization in the Plane Strain Tensile Test , 1981 .

[4]  Sébastien Mistou,et al.  Parameter identification of a mechanical ductile damage using Artificial Neural Networks in sheet metal forming , 2013 .

[5]  V. Tvergaard Influence of voids on shear band instabilities under plane strain conditions , 1981 .

[6]  H. Huh,et al.  Evaluation of Ductile Fracture Criteria in a General Three-Dimensional Stress State Considering the Stress Triaxiality and the Lode Parameter , 2013 .

[7]  T. Wierzbicki,et al.  On fracture locus in the equivalent strain and stress triaxiality space , 2004 .

[8]  Golam Newaz,et al.  Ductile damage evolution under triaxial state of stress: theory and experiments , 2005 .

[9]  Dirk Mohr,et al.  On the predictive capabilities of the shear modified Gurson and the modified Mohr–Coulomb fracture models over a wide range of stress triaxialities and Lode angles , 2011 .

[10]  A. Needleman,et al.  Analysis of the cup-cone fracture in a round tensile bar , 1984 .

[11]  K. L. Nielsen,et al.  Effect of a shear modified Gurson model on damage development in a FSW tensile specimen , 2009 .

[12]  Viggo Tvergaard,et al.  Ductile shear failure or plug failure of spot welds modelled by modified Gurson model , 2010 .

[13]  K. L. Nielsen,et al.  Relations between a micro-mechanical model and a damage model for ductile failure in shear , 2010 .

[14]  M. Moreno Application of small punch testing on the mechanical and microstructural characterizations of P91 steel at room temperature , 2016 .

[15]  L. Xue,et al.  Constitutive modeling of void shearing effect in ductile fracture of porous materials , 2008 .

[16]  Tomasz Wierzbicki,et al.  A Comparative Study on Various Ductile Crack Formation Criteria , 2004 .

[17]  R. Prakash,et al.  Estimation of Tensile Properties of Pressure Vessel Steel Through Automated Ball Indentation and Small Punch Test , 2016, Transactions of the Indian Institute of Metals.

[18]  J. Hutchinson,et al.  Modification of the Gurson Model for shear failure , 2008 .

[19]  Zhenyu Xue,et al.  A modified Gurson model and its application to punch-out experiments , 2009 .

[20]  Yazhi Li,et al.  Modified GTN model for a broad range of stress states and application to ductile fracture , 2016 .

[21]  D. M. Tracey,et al.  On the ductile enlargement of voids in triaxial stress fields , 1969 .

[22]  Viggo Tvergaard,et al.  Influence of void nucleation on ductile shear fracture at a free surface , 1982 .

[23]  A. Gurson Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[24]  Xiang Ling,et al.  Three-dimensional numerical simulation on plastic damage in small punch specimen of Zirconium , 2009 .

[25]  A. E. Tekkaya,et al.  A combined experimental–numerical investigation of ductile fracture in bending of a class of ferritic–martensitic steel , 2012 .