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Numerical study of the notch effect on the malleability of bulk metallic glasses based on the free-volume theory

Published online by Cambridge University Press:  19 February 2016

Yunpeng Jiang
Yunpeng Jiang*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

In this paper, numerical study was systematically conducted to analyze the shear banding evolution in bulk metallic glasses (BMGs) with various notches subjected to the uniaxial compression, and the relation between the notched configurations and compressive malleability was therefore elucidated. Free volume was used to be an internal state variable to depict the shear banding nucleation, growth and coalescence in the BMGs with the aid of free volume theory, which was incorporated into ABAQUS finite element method code as a user material subroutine. The present numerical procedure was firstly verified by comparing with the existing experimental data, and then parameter analysis was performed to discuss the impacts of notch shape, notch size, notch orientation, and notch configuration on the plastic deformability of notched samples. The present modeling will shed some light on the failure mechanisms and the toughening design of notched BMG structures in the engineering applications.

Keywords

bulk metallic glasses (BMGs)finite element method (FEM)notchstress−strain relationshipmalleability
Type
Articles
Information
Journal of Materials Research , Volume 31 , Issue 6 , 28 March 2016 , pp. 765 - 774
Copyright
Copyright © Materials Research Society 2016 

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References

REFERENCES

Qu, R.T., Calin, M., Eckert, J., and Zhang, Z.F.: Metallic glasses: Notch-insensitive materials. Scr. Mater. 66, 733–736 (2012).CrossRefGoogle Scholar
Wu, F.F., Zhang, Z.F., Mao, S.X., and Eckert, J.: Effect of sample size on ductility of metallic glass. Philos. Mag. Lett. 89, 178–184 (2009).CrossRefGoogle Scholar
Zhao, J.X. and Zhang, Z.F.: Comparison of compressive deformation and fracture behaviors of Zr- and Ti-based metallic glasses with notches. Mater. Sci. Eng., A 528, 2967–2973 (2011).CrossRefGoogle Scholar
Zhao, J.X., Qu, R.T., Wu, F.F., Lia, S.X., and Zhang, Z.F.: Deformation behavior and enhanced plasticity of Ti-based metallic glasses with notches. Philos. Mag. 90, 3867–3877 (2010).CrossRefGoogle Scholar
Zhao, J.X.: Achieving the desirable compressive plasticity by installing notch cluster in metallic glass. Mater. Sci. Eng., A 634, 134–140 (2015).CrossRefGoogle Scholar
Sha, Z.D., Pei, Q.X., Liu, Z.S., Zhang, Y.W., and Wang, T.J.: Necking and notch strengthening in metallic glass with symmetric sharp-and-deep notches. Sci. Rep. 5, 10797 (2015). doi: 10.1038/srep10797.CrossRefGoogle ScholarPubMed
Sha, Z.D., Pei, Q.X., Sorkin, V., Branicio, P.S., Zhang, Y.W., and Gao, H.J.: On the notch sensitivity of CuZr metallic glasses. Appl. Phys. Lett. 103, 081903 (2013).CrossRefGoogle Scholar
Sha, Z.D., He, L.C., Xu, S., Pei, Q.X., Liu, Z.S., Zhang, Y.W., and Wang, T.J.: Effect of aspect ratio on the mechanical properties of metallic glasses. Scr. Mater. 93, 36–39 (2014).CrossRefGoogle Scholar
Zhou, H.F., Qu, S.X., and Yang, W.: An atomistic investigation of structural evolution in metallic glass matrix composites. Int. J. Plast. 44, 147–160 (2013).CrossRefGoogle Scholar
Henann, D.L. and Anand, L.: Fracture of metallic glasses at notches: Effects of notch-root radius and the ratio of the elastic shear modulus to the bulk modulus on toughness. Acta Mater. 57, 6057–6074 (2009).CrossRefGoogle Scholar
Anand, L. and Su, C.: A theory for amorphous viscoplastic materials undergoing finite deformations, with application to metallic glasses. J. Mech. Phys. Solids 53, 1362–1396 (2005).CrossRefGoogle Scholar
Singh, I. and Narasimhan, R.: Notch sensitivity in nanoscale metallic glass specimens: Insights from continuum simulations. J. Mech. Phys. Solids 86, 53–69 (2016).CrossRefGoogle Scholar
Pan, J., Zhou, H.F., Wang, Z.T., Li, Y., and Gao, H.J.: Origin of anomalous inverse notch effect in bulk metallic glasses. J. Mech. Phys. Solids 84, 85–94 (2015).CrossRefGoogle Scholar
Homer, E.R. and Schuh, C.A.: Mesoscale modeling of amorphous metals by shear transformation zone dynamics. Acta Mater. 57, 2823–2833 (2009).CrossRefGoogle Scholar
Homer, E.R.: Examining the initial stages of shear localization in amorphous metals. Acta Mater. 63, 44–53 (2014).CrossRefGoogle Scholar
Homer, E.R. and Schuh, C.A.: Three-dimensional shear transformation zone dynamics model for amorphous metals. Model. Simul. Mater. Sci. 18, 65009–65027 (2010).CrossRefGoogle Scholar
Schuh, C.A., Hufnagel, T.C., and Ramamurty, U.: Mechanical behavior of amorphous alloys. Acta Mater. 55, 4067–4109 (2007).CrossRefGoogle Scholar
Spaepen, F.: A microscopic mechanism for steady state inhomogeneous flow in metallic glasses. Acta Metall. 25, 407–415 (1976).CrossRefGoogle Scholar
Steif, P.S., Spaepen, F., and Hutchinson, J.W.: Strain localization in amorphous metals. Acta Metall. 30, 447–455 (1982).CrossRefGoogle Scholar
Gao, Y.F.: An implicit finite element method for simulating inhomogeneous deformation and shear bands of amorphous alloys based on the free-volume model. Model. Simul. Mater. Sci. Eng. 14, 1329–1345 (2006).CrossRefGoogle Scholar
Abaqus reference manuals (SIMULIA Inc., Providence, 2009).Google Scholar
Ke, H.B., Zeng, J.F., Liu, C.T., and Yang, Y.: Structure heterogeneity in metallic glass: Modeling and experiment. J. Mater. Sci. Technol. 30, 560–565 (2014).CrossRefGoogle Scholar
Huo, L.S., Zeng, J.F., Wang, W.H., Liu, C.T., and Yang, Y.: The dependence of shear modulus on dynamic relaxation and evolution of local structural heterogeneity in a metallic glass. Acta Mater. 61, 4329–4338 (2013).CrossRefGoogle Scholar
Cheng, Y.Q., Han, Z., Li, Y., and Ma, E.: Cold versus hot shear banding in bulk metallic glass. Phys. Rev. B 80, 134115 (2009).CrossRefGoogle Scholar
Qu, R.T. and Zhang, Z.F.: Compressive fracture morphology and mechanism of metallic glass. J. Appl. Phys. 114, 193504–193511 (2013).CrossRefGoogle Scholar
Feng, S.D., Li, G., Yu, P.F., Zhang, S.L., Ma, M.Z., Qi, L., and Liu, R.P.: Effects of aspect ratio on the shear band arrangements of Zr-based metallic glasses. Metall. Mater. Trans. A 46, 1119–1124 (2015).CrossRefGoogle Scholar