Crystal Plasticity Finite-Element Simulation of Single Phase Titanium Alloy with 3D Polycrystalline Models

Abstract:

Based on the rate-dependent crystal plasticity theory, a finite element code which considers crystallographic slip as deformation mechanism of material was developed to investigate the stress–strain response of the β phase of Ti-5553 during uniaxial tension. Three dimensional models with random grain shapes generated by Voronoi tessellation were used for simulations, and two discretization methods were used to disperse the models. Firstly, the parameters of material were identified by fitting simulation stress-strain curves with experimental data. Then the global stress-strain curves were calculated, and effects of mesh type and mesh density were discussed. Results show that mesh type has a relatively significant influence on overall responses, whereas the influence of mesh density is slight. Investigate of local stress-strain response in each grain was also conducted, and obvious inter-granular heterogeneities were observed. Quantitative analysis indicates that the range of stress and strain variations is affected by mesh type.

• Periodical: Materials Science Forum (Volume 789)
• Pages: 608-615
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.789.608
• Online since: April 2014
• Authors: Shao Xie*, Bin Tang, Yi Liu, Feng Bo Han, Hong Chao Kou, Jin Shan Li
• Keywords: Crystal Plasticity, Mesh Type, Stress-Strain Response, Voronoi Tessellation

References

[1] G. I. Taylor, Plastic strain in metals, J. Inst. Met. 62 (1938) 307-324.

[2] R. Hill, Generalized constitutive relations for incremental deformation of metal crystals by multislip, J. Mech. Phys. Solids. 14 (1966) 95-102.

DOI: 10.1016/0022-5096(66)90040-8

[3] J. R. Rice, Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity, J. Mech. Phys. Solids. 19 (1971) 433-455.

DOI: 10.1016/0022-5096(71)90010-x

[4] R. Hill, J. R. Rice, Constitutive analysis of elastic-plastic crystals at arbitrary strain, J. Mech. Phys. Solids. 20 (1972) 401-413.

DOI: 10.1016/0022-5096(72)90017-8

[5] F. Roters, P. Eisenlohr, L. Hantcherli, D. D. Tjahjanto, T. R. Bieler, D. Raabe, Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications, Acta Mater. 58 (2010) 1152-1211.

DOI: 10.1016/j.actamat.2009.10.058

[6] C. A. Bronkhorst, S. R. Kalidindi, L. Anand, Polycrystalline Plasticity and the Evolution of Crystallographic Texture in FCC Metals, Philos. T. Roy. Soc. A. 341 (1992) 443-477.

[7] S. R. Kalidindi, C. A. Bronkhorst, L. Anand, Crystallographic texture evolution in bulk deformation processing of FCC metals, J. Mech. Phys. Solids. 40 (1992) 537-569.

DOI: 10.1016/0022-5096(92)80003-9

[8] B. Lin, L. G. Zhao, J. Tong, H. J. Christ, Crystal plasticity modeling of cyclic deformation for a polycrystalline nickel-based superalloy at high temperature, Mater. Sci. Eng., A. 527 (2010) 3581-3587.

DOI: 10.1016/j.msea.2010.02.045

[9] M. Zhang, J. Zhang, D. L. McDowell, Microstructure-based crystal plasticity modeling of cyclic deformation of Ti–6Al–4V, Int. J. Plasticity. 23 (2007) 1328-1348.

DOI: 10.1016/j.ijplas.2006.11.009

[10] C. H. Goh, D. L. McDowell, R. W. Neu, Plasticity in polycrystalline fretting fatigue contacts, J. Mech. Phys. Solids. 54 (2006) 340-367.

DOI: 10.1016/j.jmps.2005.06.009

[11] L. Delannay, M. A. Melchior, J. W. Signorelli, J. F. Remacle, T. Kuwabara, Influence of grain shape on the planar anisotropy of rolled steel sheets – evaluation of three models, Comp. Mater. Sci. 45 (2009) 739-743.

DOI: 10.1016/j.commatsci.2008.06.013

[12] S. Sinha, S. Ghosh, Modeling cyclic ratcheting based fatigue life of HSLA steels using crystal plasticity FEM simulations and experiments, Int. J. Fatigue. 28 (2006) 1690-1704.

DOI: 10.1016/j.ijfatigue.2006.01.008

[13] V. Bachu, S. R. Kalidindi, On the accuracy of the predictions of texture evolution by the finite element technique for fcc polycrystals, Materials Science and Engineering: A. 257 (1998) 108-117.

DOI: 10.1016/s0921-5093(98)00828-4

[14] V. Hasija, S. Ghosh, M. J. Mills, D. S. Joseph, Deformation and creep modeling in polycrystalline Ti–6Al alloys, Acta Mater. 51 (2003) 4533-4549.

DOI: 10.1016/s1359-6454(03)00289-1

[15] L. Delannay, P. J. Jacques, S. R. Kalidindi, Finite element modeling of crystal plasticity with grains shaped as truncated octahedrons, Int. J. Plasticity. 22 (2006) 1879-1898.

DOI: 10.1016/j.ijplas.2006.01.008

[16] Z. Zhao, S. Kuchnicki, R. Radovitzky, A. Cuitino, Influence of in-grain mesh resolution on the prediction of deformation textures in fcc polycrystals by crystal plasticity FEM, Acta Mater. 55 (2007) 2361-2373.

DOI: 10.1016/j.actamat.2006.11.035

[17] O. Diard, S. Leclercq, G. Rousselier, G. Cailletaud, Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity: Application to crystal plasticity model identification and the study of stress and strain fields near grain boundaries, Int. J. Plasticity. 21 (2005) 691-722.

DOI: 10.1016/j.ijplas.2004.05.017

[18] L. X. Lv, L. Zhen, Crystal plasticity simulation of polycrystalline aluminum and the effect of mesh refinement on mechanical responses, Mater. Sci. Eng., A. 528 (2011) 6673-6679.

DOI: 10.1016/j.msea.2011.05.040

[19] D. Peirce, R. J. Asaro, A. Needleman, An analysis of nonuniform and localized deformation in ductile single crystals, Acta Metallurgica. 30 (1982) 1087-1119.

DOI: 10.1016/0001-6160(82)90005-0

[20] R. Quey, P. R. Dawson, F. Barbe, Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing, Comput. Method. Appl. M. 200 (2011) 1729-1745.

DOI: 10.1016/j.cma.2011.01.002

[21] A. Gerday, Mechanical behavior of Ti-5553 alloy Modeling of representative cells, in: University of Liège, 2009.