Abstract
A new approach was put forward to identify the damage parameters of the shear modified GTN damage model proposed by Nahshon and Hutchinson (Eur J Mech Solid 27:10–17, 2008) by combining the artificial neural networks algorithm and small punch test. The factorial design method was used to analyze the influence of the parameters on the shape of load-displacement curve of small punch test. The less important parameters were set as empirical value and the significant factors were determined by an artificial neural networks model which was build up based on large amount of simulations of small punch tests with different levels of damage parameters values. The identified parameters were validated by small punch test simulations with different specimen thickness. The results show that the identified parameters of the shear modified GTN damage model are effective to characterize the mechanical behavior as well as the damage evolution and ductile failure of material during the process of small punch test. In addition, the applicability of the identified parameters in the tests with different stress condition were verified.
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References
Abbassi F, Belhadj T, Mistou S et al (2013) Parameter identification of a mechanical ductile damage using artificial neural networks in sheet metal forming. Mater Design 45:605–615. https://doi.org/10.1016/j.matdes.2012.09.032
Abendroth M, Kuna M (2003) Determination of deformation and failure properties of ductile materials by means of the small punch test and neural networks. Comput Mater Sci 28:633–644
Abendroth M, Kuna M (2006) Identification of ductile damage and fracture parameters from the small punch test using neural networks. Eng Fract Mech 73:710–725
Achouri M, Germain G, Dal Santo P et al (2013) Numerical integration of an advanced Gurson model for shear loading: application to the blanking process. Comput Mater Sci 72:62–67. https://doi.org/10.1016/j.commatsci.2013.01.035
Ag F (1969) Comparison between a quantitative microscope and chemical methods for assessment of non-metallic inclusions. J Iron Steel Inst 207:181–186
Aguir H, Marouani H (2010) Gurson–Tvergaard–Needleman parameters identification using artificial neural networks in sheet metal blanking. Int J Mater Form 3:113–116. https://doi.org/10.1007/s12289-010-0720-5
Barsoum I, Faleskog J (2007) Rupture mechanisms in combined tension and shear—micromechanics. Int J Solids Struct 44:5481–5498. https://doi.org/10.1016/j.ijsolstr.2007.01.010
Benseddiq N, Imad A (2008) A ductile fracture analysis using a local damage model. Int J Press Vessels Pip 85:219–227. https://doi.org/10.1016/j.ijpvp.2007.09.003
Corigliano A, Mariani S, Orsatti B (2000) Identification of Gurson–Tvergaard material model parameters via Kalman filtering technique. I. Theory. Int J Fract 104:349–373. https://doi.org/10.1023/a:1007602106711
Cuesta II, Alegre JM, Lacalle R (2010) Determination of the Gurson–Tvergaard damage model parameters for simulating small punch tests. Fatig Fract Eng Mater Struct 33:703–713. https://doi.org/10.1111/j.1460-2695.2010.01481.x
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
Marouani H, Aguir H (2012) Identification of material parameters of the Gurson–Tvergaard–Needleman damage law by combined experimental, numerical sheet metal blanking techniques and artificial neural networks approach. Int J Mater Form 5:147–155
Muñoz-Rojas P, Cardoso E, Vaz M (2010) Parameter identification of damage models using genetic algorithms. Exp Mech 50:627–634. https://doi.org/10.1007/s11340-009-9321-y
Nahshon K, Hutchinson JW (2008) Modification of the Gurson model for shear failure. Eur J Mech Solid 27:1–17. https://doi.org/10.1016/j.euromechso1.2007.08.002
Nahshon K, Xue Z (2009) A modified Gurson model and its application to punch-out experiments. Eng Fract Mech 76:997–1009. https://doi.org/10.1016/j.engfracmech.2009.01.003
Springmann M, Kuna M (2005) Identification of material parameters of the Gurson–Tvergaard–Needleman model by combined experimental and numerical techniques. Comput Mater Sci 32:544–552. https://doi.org/10.1016/j.commatsci.2004.09.010
Springmann M, Kuna M (2006) Determination of ductile damage parameters by local deformation fields: measurement and simulation. Arch Appl Mech 75:775–797
Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int J Fract 17:389–407. https://doi.org/10.1007/bf00036191
Tvergaard V (1982) On localization in ductile materials containing spherical voids. Int J Fract 18:237–252. https://doi.org/10.1007/bf00015686
Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica 32:157–169
Acknowledgements
The present research was supported by the National Natural Science Foundation of China under Grant No. 51105143 and Zhejiang Provincial Natural Science Foundation of China under Grant No. LQ19E050008.
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Sun, Q., Lu, Y. & Chen, J. Identification of material parameters of a shear modified GTN damage model by small punch test. Int J Fract 222, 25–35 (2020). https://doi.org/10.1007/s10704-020-00428-4
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DOI: https://doi.org/10.1007/s10704-020-00428-4