PSI - Issue 1

Shenghua Wu et al. / Procedia Structural Integrity 1 (2016) 273–280

280

Shenghua Wu, Nannan Song, F.M.Andrade Pires/ Structural Integrity Procedia 00 (2016) 000 – 000

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(a) Damage evolution.

(b) Stress-strain response.

Fig.3: Comparison of different constitutive models.

5. Conclusions

In this paper, a fully coupled elastic-plastic-damage model based on continuum damage theory was described and used to model the mechanical behavior of metallic materials with HCP crystal structure. A fully implicit integration algorithm based on the Closest Point Projection Method (CPPM) is implemented within an implicit quasi-static finite element environment. A comparison between two plasticity models (Mises and Cazacu06) and the Lemaitre damage model has been done. From the analyzed test, it concludes that a certain amount of damage is being accumulated leading to ductile fracture. The proposed coupled damage model can accurately predict both deformation and damage behaviors of material. Allahverdizadeh N., Manes A., Giglio M.,2012. Application of CDM models for the simulation of the mechanical behavior of Ti-6Al-4v titanium alloy. Proceddings of the 1st international conference of the internation journal of structural integrity, Porto. Barlat F and Lian J, 1989. Plastic behavior and stretch ability of sheet metals (Part I): A yield function for orthotropic sheet under plane stress conditions, International Journal of Plasticity, vol. 5, p 51-56. Cazacu, O.,Plunkett B., 2006. Orthotropic yield criterion for hexagonal closed packed metals, International Journal of Plasticity 22(7): 1171-1194. Cockcroft, M. G., Latham, D. J., 1968, Ductility and workability of metals, Journal of the Institute of Metals, 96, 33-39. Filipe X. C. Andrade, Francsico, M.A.Pires, Cesar de Sa, 2009. Improvement of the numerical prediction of ductile failure with an integral nonlocal damage model, International Journal of Material Forming 2:439-442 Francisco F.M. Pires, Cesar de Sa, J.M.A., Costa Sousa L., Natal Jorge R.M., 2003.Numerical modelling of ductile plastic damage in bulk metal forming, International Journal of Mechanical Sciences 45:273-294. Gurson, A.L., 1977. 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, p. 2-15. Hill, R., 1948. A theory of the yielding and plastic flow of anisotropic metals, in proceedings the royal of society, p281-297. Khan A. S., Kazmi R., and Farrokh B., 2007. Multiaxial and non-proportional loading responses, anisotropy and modeling of Ti – 6Al – 4V titanium alloy over wide ranges of strain rates and temperatures, International Journal of Plasticity, vol. 23, p931-950,. Leon L. Mishnaevsky Jr, Siegfried Schmanuder, 2001. Continuum mesocmechanical finite element modeling in materials development: A state of-the-art review, applied Mechanical review v54. Lemaitre, J. and Desmorat, R., 2005. Engineering Damage Mechanics. Berlin: Springer Verlag. Lemaitre, J., 1985, A continuous damage mechanics model for ductile fracture, Journal of Engineering Materials and Technology, 107, 83-89. Needleman, A. and Tvergaard, N., 1984. Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica. 32, 1984, pp. 157-169. Nixon, M. E., Cazacu O., 2010. Anisotropic response of high- purity α -titanium: Experimental characterization and constitutive modeling. International Journal of Plasticity 26(4): 516-532. Oyane, M., Sato, T., Okimoto, K., Shima, S., 1980, Criteria for ductile fracture and their applications, Journal of Mechanical Working Technology, 4, 65-81 Polmear, I., 2005. Light alloys: from traditional alloys to nanocrystals, Edition 4,Butterworth-Heinemann press. Rice, J. R., 1969, On the ductile enlargement of voids in triaxial stress fields, Journal of the Mechanics and Physics of Solids, 17, 201-217. Souza Neto E.A de, Peric D, and Owen D.R.J., 2008. Computational methods for plasticity theory and applications. John Wiley & Sons Ltd. Tuninetti V., Gilles G., Milis O., Pardoen T., and Habraken A. M., 2015. Anisotropy and tension – compression asymmetry modeling of the room temperature plastic response of Ti – 6Al – 4V, International Journal of Plasticity, vol. 67, p53-68. Wohua Zhang ， Yuanqiang Cai, 2009. Continuum Damage Mechanics and Numerical Applications, springer press. References