Determination and Validation of Gurson-Tvergaard Model Parameters for Finite Element Simulation of Small Punch Test

Abstract:

Small punch test (SPT) is a miniature sample test technique which can evaluate in-service material properties with an almost non-destructive method. Since the deformation behavior of the small punch specimen is complicated, finite element simulation embedded with Gurson-Tvergaard (GTN) model is adopted to simulate elastic-plastic behaviour until fracture. Choosing the proper GTN parameters is crucial for the small punch simulation, which directly influence the precision of load-displacement curve obtained from simulation. In this paper, load-displacement curve is divided into five stages and the parameters identification process is done by adjusting the simulation curve with experimental load-displacement curve in different stages which controlled by separately parameters. The results show that the parameters determined based on this criterion are not unique. In order to validate the reliability of this method, specimen’s minimum thickness of cross-section after fracture was introduced as an extra criterion which turned out to be feasible. Load-displacement curves cannot serve as the only criterion to verify the GTN parameters.

• Periodical: Applied Mechanics and Materials (Volume 750)
• Pages: 59-68
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.750.59
• Online since: April 2015
• Authors: Yan Yan Lu, Liang Chen, Kai Shu Guan
• Keywords: Finite Element Simulation, GTN Parameters, Minimum Thickness, Small Punch Test

References

[1] J.M. Baik, J. Kameda, O. Buck. Small punch test evaluation of intergranular embrittlement of an alloy steel. Script Mitalurgica. 7(1983) 1443-1447.

DOI: 10.1016/0036-9748(83)90373-3

[2] M. Abendroth, M. Kuna. Identification of ductile damage and fracture parameters from the small punch test using neural networks. ENG FRACT MECH. 73 (2006) 710-725.

DOI: 10.1016/j.engfracmech.2005.10.007

[3] M. Abendroth, M. Kuna. Determination of deformation and failure properties of ductile materials by means of the small punch test and neural networks. Computational Materials Science. 28(2003) 633-644.

DOI: 10.1016/j.commatsci.2003.08.031

[4] R. Hu, X. Ling*. Three-dimensional numerical simulation on plastic damage in small punch specimen of Zirconium．International Journal of Pressure Vessels and Piping. 86 (2009) 813-817.

DOI: 10.1016/j.ijpvp.2009.10.008

[5] I.I. Cuesta, J.M. Alegre, R. Lacalle. Determination of the Gurson–Tvergaard damage model parameters for simulating small punch tests. Fatigue & Fracture of Engineering Materials & Structures, (2010).

DOI: 10.1111/j.1460-2695.2010.01481.x

[6] A. L. Gurson. Continuous Theory of Ductile Rupture by Viod Nucleation and Growth. J. Eng. Mat. Tech, 99(1977).

[7] V. Tvergaard. Influence of Voids on Shear Band Instabilities under Plane Strain Condition. Int. J. Fract. 17(1981) 389.

DOI: 10.1007/bf00036191

[8] Tvergaard, Needleman. Analysis of the Cup-cone Fracture in a Round Tensile Bar. Acta Metal. 32 (1984) 157.

DOI: 10.1016/0001-6160(84)90213-x

[9] A. Husain, D.K. Sehgal, R.K. Pandey. An inverse finite element procedure for the determination of constitutive tensile behavior of materials using miniature specimen. Computational Materials Science. 31 (2004) 84-92.

DOI: 10.1016/j.commatsci.2004.01.039

[10] P. Egan, M.P. Whelan, F. Lakestania, M.J. Connelly. Small punch test: An approach to solve the inverse problem by deformation shape and finite element optimization. Computational Materials Science. 40 (2007) 33-39.

DOI: 10.1016/j.commatsci.2006.10.021

[11] E.N. Campitelli, P. Spatig, R. Bonade, W. Hoffelner, M. Victoria. Assessment of the constitutive properties from small ball punch test: experiment and modeling. Journal of Nuclear Materials. 335 (2004) 366-378.

DOI: 10.1016/j.jnucmat.2004.07.052

[12] P.C. Zhai, T. Hashida, S. Komazaki, Q.J. Zhang. Numerical analysis of small punch creep tests by finite-element method. Journal of Testing and Evaluation. 32(2004) 298-303.

DOI: 10.1520/jte12250

[13] M. Abendroth, M. Kuna. Determination of deformation and failure properties of ductile materials by means of the small punch test and neural networks. Computational Materials Science. 28 (2003) 633-644.

DOI: 10.1016/j.commatsci.2003.08.031

[14] MSC. Marc Volume: A Theory and User Information, Chapter7, 2005, pp.152-154.

[15] ASTM (2004) E 8M. Standard Test Methods of Tension Testing of Metallic Materials. Annual Book or ASTM Standards, Vol. 3. 01, American Society for Testing and Materials.

[16] K. Guan, L. Hua, Q. Wang, X. Zou, M. Song. Assessment of toughness in long term service CrMo low alloy steel by fracture toughness and small punch test. Nuclear Engineering and Design. 241 (2011)1407-1413.

DOI: 10.1016/j.nucengdes.2011.01.031

[17] T. Bai, P. Chen, K. Guan. Evaluation of stress corrosion cracking susceptibility of stainless steel 304L with surface nanocrystallization by small punch test. Materials Science and Engineering. 561 (2013) 498-506.

DOI: 10.1016/j.msea.2012.10.071