Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bao YB, Wierzbicki T (2004) A comparative study on various ductile crack formation criteria. J Eng Mater-T Asme 126:314–324
Bonora N, Gentile D, Pirondi A, Newaz G (2005) Ductile damage evolution under triaxial state of stress: theory and experiments. Int J Plasticity 21:981–1007
Jiang W, Li Y, Su J (2016) Modified GTN model for a broad range of stress states and application to ductile fracture. Eur J Mech A Solids 57:132–148
Nahshon K, Hutchinson JW (2008) Modification of the Gurson model for shear failure. Eur J Mech A-Solid 27:1–17
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 99:2–15
Rice RJ, Tracey D (1969) On the ductile fracture by the growth of holes. J Mech Phys Solids 17:201–217
Tvergaard V (1981) Influence of voids on shear band instabilities under plane-strain conditions. Int J Fract 17:389–407
Tvergaard V (1982) Influence of void nucleation on ductile shear fracture at a free surface. J Mech Phys Solids 30:399–425
Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32:157–169
Tvergaard V, Needleman A et al (1981) Flow localization in the plane strain tensile test. J Mech Phys Solids 29:115–142
Bao Y, Wierzbicki T (2004) On fracture locus in the equivalent strain and stress triaxiality space. Int J Mech Sci 46:81–98
Lou Y, Huh H (2013) Evaluation of ductile fracture criteria in a general three-dimensional stress state considering the stress triaxiality and the lode parameter. Acta Mech Solida Sin 26:642–658
Xue L (2008) Constitutive modeling of void shearing effect in ductile fracture of porous materials. Eng Fract Mech 75:3343–3366
Soyarslan C, Malekipour Gharbi M, Tekkaya AE (2012) A combined experimental–numerical investigation of ductile fracture in bending of a class of ferritic–martensitic steel. Int J Solids Struct 49:1608–1626
Dunand M, Mohr D (2011) 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. J Mech Phys Solids 59:1374–1394
Xue Z, Pontin MG, Zok FW, Hutchinson JW (2010) Calibration procedures for a computational model of ductile fracture. Eng Fract Mech 77:492–509
Nahshon K, Xue Z (2009) A modified Gurson model and its application to punch-out experiments. Eng Fract Mech 76:997–1009
Tvergaard V, Nielsen KL (2010) Relations between a micro-mechanical model and a damage model for ductile failure in shear. J Mech Phys Solids 58:1243–1252
Nielsen KL, Tvergaard V (2009) Effect of a shear modified Gurson model on damage development in a FSW tensile specimen. Int J Solids Struct 46:587–601
Nielsen KL, Tvergaard V (2010) Ductile shear failure or plug failure of spot welds modelled by modified Gurson model. Eng Fract Mech 77:1031–1047
Abbassi F, Belhadj T, Mistou S, Zghal A (2013) Parameter identification of a mechanical ductile damage using artificial neural networks in sheet metal forming. Mater Des 45:605–615
Arunkumar S, Prakash RV (2016) Estimation of tensile properties of pressure vessel steel through automated ball indentation and small punch test. T Indian I Metals 69:1245–1256
Moreno MF (2016) Application of small punch testing on the mechanical and microstructural characterizations of P91 steel at room temperature. Int J Pres Ves Pip 142-143:1–9
Nakata T, Komazaki S, Kohno Y, Tanigawa H (2016) Development of a small punch testing method to evaluate the creep property of high Cr ferritic steel: part I—effect of atmosphere on creep deformation behavior. Mater Sci Eng A 666:54–60
Hu R, Ling X (2009) Three-dimensional numerical simulation on plastic damage in small punch specimen of zirconium. Int J Press Vessel Pip 86:813–817
Linse T, Kuna M, Viehrig HW (2014) Quantification of brittle-ductile failure behavior of ferritic reactor pressure vessel steels using the small-punch-test and micromechanical damage models. Mater Sci Eng A 614:136–147
Acknowledgements
This research is financially supported by the Key Project of the National Natural Science Foundation of China (No.11272075), China’s Post-doctoral Science Fund (2014M561223) and Fundamental Research Fund for the Central University (DUT16RC(4)28, DUT17JC38).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ying, L., Wang, Dt., Liu, Wq. et al. On the numerical implementation of a shear modified GTN damage model and its application to small punch test. Int J Mater Form 11, 527–539 (2018). https://doi.org/10.1007/s12289-017-1362-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12289-017-1362-7