Calibration of GTN damage model parameters using hydraulic bulge test


  • Abdolvahed Kami
  • Bijan Mollaei Dariani
  • Dan Sorin Comsa
  • Dorel banabic
  • Ali Sadough Vanini
  • Mathias Liewald


Gurson, GTN damage model, identification, response surface methodology, anisotropy


. In this research, a new approach has been introduced for the identification of GTN damage model parameters. The response surface methodology was used for design of experiments and also for the calculation of the optimum values of the GTN model parameters. For the calibration of the parameters, the values of the major and minor limit strains were measured at the surface of hydraulic bulge test specimens at the onset of necking. Then, a response value was defined as a function of the limit strains. Using this approach, the values of GTN model parameters were calculated for the Bondal sandwich sheet (a sandwich sheet with DC06 skin sheets and a polymeric core layer). The results showed that the introduced approach is able to calibrate the GTN model parameters with a good accuracy, the surface strains, forming force and the onset of necking in the bulge test being predicted with an acceptable accuracy. Furthermore, the forming limit curve (FLC) of the Bondal sheet was constructed using the numerical simulation of Nakazima tests and by using the calibrated values of GTN model parameters. The results showed that the GTN model is able to predict the Bondal sheet FLC with a fair quality, especially in the plane strain and biaxial strain regimes.


GURSON, A.L., Continuum theory of ductile rupture by void nucleation and growth Part I-Yield criteria and flow rules for porous ductile media, Journal of engineering materials and technology, 99, 1, pp. 2?15, 1977.

TVERGAARD, V., Influence of voids on shear band instabilities under plane strain conditions, International Journal of Fracture, 17, 4, pp. 389?407, 1981.

TVERGAARD, V., On localization in ductile materials containing spherical voids, International Journal of Fracture, 18, 4, pp. 237?252, 1982.

TVERGAARD, V., NEEDLEMAN, A., Analysis of the cup-cone fracture in a round tensile bar, Acta Metallurgica, 32, 1, pp. 157?169, 1984.

LI, Z.H., BILBY, B.A., HOWARD, I.C., A study of the internal parameters of ductile damage theory, Fatigue & Fracture of Engineering Materials & Structures, 17, 9, pp. 1075?1087, 1994.

ZHANG, Z.L., A sensitivity analysis of material parameters for the Gurson constitutive model, Fatigue & Fracture of Engineering Materials & Structures, 19, 5, pp. 561?570, 1996.

CAO, T.S., MAIRE, E., VERDU, C., BOBADILLA, C., LASNE, P., MONTMITONNET, P., BOUCHARD, P.O., Characterization of ductile damage for a high carbon steel using 3D X-ray micro-tomography and mechanical tests – Application to the identification of a shear modified GTN model, Computational Materials Science, 84, pp. 175?187, 2014.

UTHAISANGSUK, V., PRAHL, U., MÜNSTERMANN, S., BLECK, W., Experimental and numerical failure criterion for formability prediction in sheet metal forming, Computational Materials Science, 43, 1, pp. 43?50, 2008.

FRATINI, L., LOMBARDO, A., MICARI, F., Material characterization for the prediction of ductile fracture occurrence: An inverse approach, Journal of Materials Processing Technology, 60, 1?4, pp. 311?316, 1996.

ABBASI, M., KETABCHI, M., IZADKHAH, H., FATMEHSARIA, D.H., AGHBASH, A.N., Identification of GTN model parameters by application of response surface methodology, Procedia Engineering, 10, pp. 415?420, 2011.

ABBASI, M., BAGHERI, B., KETABCHI, M., HAGHSHENAS, D.F., Application of response surface methodology to drive GTN model parameters and determine the FLD of tailor welded blank, Computational Materials Science, 53, 1, pp. 368?376, 2012.

KAMI, A., MOLLAEI DARIANI, B., SADOUGH VANINI, A., COMSA, D.-S., BANABIC, D., Application of a GTN Damage Model to Predict the Fracture of Metallic Sheets Subjected to Deep-Drawing, Proceedings of the Romanian Academy, Series A ? Mathematics, Physics, Technical Scienes, Information Science, 15, 3, pp. 300?309, 2014.

KAMI, A., DARIANI, B.M., SADOUGH VANINI, A., COMSA, D.S., BANABIC, D., Numerical determination of the forming limit curves of anisotropic sheet metals using GTN damage model, Journal of Materials Processing Technology, 216, pp. 472?483, 2015.

ABBASSI, F., BELHADJ, T., MISTOU, S., ZGHAL, A., Parameter identification of a mechanical ductile damage using Artificial Neural Networks in sheet metal forming, Materials & Design, 45, pp. 605?615, 2013.

AGUIR, H., MAROUANI, H., Gurson-Tvergaard-Needleman parameters identification using artificial neural networks in sheet metal blanking, International Journal of Material Forming, 3, S1, pp. 113?116, 2010.

MAROUANI, H., AGUIR, H., Identification of material parameters of the Gurson–Tvergaard– Needleman damage law by combined experimental, numerical sheet metal blanking techniques and artificial neural networks approach, International Journal of Material Forming, 5, 2, pp. 147?155, 2012.

CHHIBBER, R., ARORA, N., GUPTA, S.R., DUTTA, B.K., Estimation of Gurson material parameters in bimetallic weldments for the nuclear reactor heat transport piping system, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 222, 12, pp. 2331?2349, 2008.

ABENDROTH, M., KUNA, M., Identification of ductile damage and fracture parameters from the small punch test using neural networks, Engineering Fracture Mechanics, 73, 6, pp. 710?725, 2006.

CUESTA, I.I., ALEGRE, J.M., LACALLE, R., Determination of the Gurson-Tvergaard damage model parameters for simulating small punch tests, Fatigue & Fracture of Engineering Materials & Structures, 33, 11, pp. 703–713, 2010.



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