Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-02T21:44:06.819Z Has data issue: false hasContentIssue false
  • English
  • Français

Stick-slip dynamics and recent insights into shear banding in metallic glasses

Published online by Cambridge University Press:  27 June 2011

David Klaumünzer ,
Robert Maaß  and
Jörg F. Löffler
David Klaumünzer*
Affiliation:
Laboratory of Metal Physics and Technology, Department of Materials, 8093 Zurich, Switzerland
Robert Maaß
Affiliation:
Laboratory of Metal Physics and Technology, Department of Materials, 8093 Zurich, Switzerland
Jörg F. Löffler
Affiliation:
Laboratory of Metal Physics and Technology, Department of Materials, 8093 Zurich, Switzerland
*
a)Address all correspondence to this author. [email protected]
Get access

Abstract

Despite extensive research, the understanding of the fundamental processes governing yielding and plastic flow in metallic glasses remains poor. This is due to experimental difficulties in capturing plastic flow as a result of a strong localization in space and time by the formation of shear bands at low homologous temperatures. Unveiling the mechanism of shear banding is hence key to developing a deeper understanding of plastic deformation in metallic glasses. We will compile recent progress in studying the dynamics of shear-band propagation from serrated flow curves. We will also take a perspective gleaned from stick-slip theory and show how the insights gained can be deployed to explain fundamental questions concerning the origin, mechanism, and characteristics of flow localization in metallic glasses.

Keywords

AmorphousAlloyDuctility
Type
Invited Feature Paper
Information
Journal of Materials Research , Volume 26 , Issue 12 , 28 June 2011 , pp. 1453 - 1463
Copyright
Copyright © Materials Research Society 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Klement, W., Willens, R.H., and Duwez, P.: Non-crystalline structure in solidified gold–silicon alloys. Nature 187, 869 (1960).CrossRefGoogle Scholar
2.Ashby, M.F. and Greer, A.L.: Metallic glasses as structural materials. Scr. Mater. 54, 321 (2006).CrossRefGoogle Scholar
3.Löffler, J.F.: Bulk metallic glasses. Intermetallics 11, 529 (2003).CrossRefGoogle Scholar
4.Telford, M.: The case for bulk metallic glass. Mater. Today 7, 36 (2004).CrossRefGoogle Scholar
5.Schuh, C.A., Hufnagel, T.C., and Ramamurty, U.: Mechanical behavior of amorphous alloys. Acta Mater. 55, 4067 (2007).CrossRefGoogle Scholar
6.Chen, M.: Mechanical behavior of metallic glasses: Microscopic understanding of strength and ductility. Annu. Rev. Mater. Res. 38, 445 (2008).CrossRefGoogle Scholar
7.Pampillo, C.A. and Chen, H.S.: Comprehensive plastic deformation of a bulk metallic glass. Mater. Sci. Eng. 13, 181 (1974).CrossRefGoogle Scholar
8.Gilman, J.J.: Flow via dislocations in ideal glasses. J. Appl. Phys. 44, 675 (1973).CrossRefGoogle Scholar
9.Argon, A.S.: Plastic deformation in metallic glasses. Acta Metall. 27, 47 (1979).CrossRefGoogle Scholar
10.Spaepen, F. and Turnbull, D.: A mechanism for the flow and fracture of metallic glasses. Scr. Metall. 8, 563 (1974).CrossRefGoogle Scholar
11.Spaepen, F.: A microscopic mechanism for steady state inhomogeneous flow in metallic glasses. Acta Metall. 25, 407 (1977).CrossRefGoogle Scholar
12.Falk, M.L. and Langer, J.S.: Dynamics of viscoplastic deformation in amorphous solids. Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdisciplin. Top. 57, 7192 (1998).CrossRefGoogle Scholar
13.Schall, P., Weitz, D.A., and Spaepen, F.: Structural rearrangements that govern flow in colloidal glasses. Science 318, 1895 (2007).CrossRefGoogle ScholarPubMed
14.Spenley, N.A., Yuan, X.F., and Cates, M.E.: Nonmonotonic constitutive laws and the formation of shear-banded flows. J. Phys. II 6, 551 (1996).Google Scholar
15.Schall, P. and van Hecke, M.: Shear bands in matter with granularity. Annu. Rev. Fluid Mech. 42, 67 (2010).CrossRefGoogle Scholar
16.Ovarlez, G., Rodts, S., Chateau, X., and Coussot, P.: Phenomenology and physical origin of shear localization and shear banding in complex fluids. Rheol. Acta 48, 831 (2009).CrossRefGoogle Scholar
17.Manneville, S.: Recent experimental probes of shear banding. Rheol. Acta. 47, 301 (2008).CrossRefGoogle Scholar
18.Masumoto, T. and Maddin, R.: The mechanical properties of palladium 20 a/o silicon alloy quenched from the liquid state. Acta Metall. 19, 725 (1971).CrossRefGoogle Scholar
19.Neuhäuser, H.: Rate of shear band formation in metallic glasses. Scr. Metall. 12, 471 (1978).CrossRefGoogle Scholar
20.Yang, B., Morrison, M.L., Liaw, P.K., Buchanan, R.A., Wang, G., Liu, C.T., and Denda, M.: Dynamic evolution of nanoscale shear bands in a bulk-metallic glass. Appl. Phys. Lett. 86, 141904 (2005).CrossRefGoogle Scholar
21.Song, S.X., Bei, H., Wadsworth, J., and Nieh, T.G.: Flow serration in a Zr-based bulk metallic glass in compression at low strain rates. Intermetallics 16, 813 (2008).CrossRefGoogle Scholar
22.Wright, W.J., Samale, M.W., Hufnagel, T.C., LeBlanc, M.M., and Florando, J.N.: Studies of shear band velocity using spatially and temporally resolved measurements of strain during quasistatic compression of a bulk metallic glass. Acta Mater. 57, 4639 (2009).CrossRefGoogle Scholar
23.Vinogradov, A.: On shear band velocity and the detectability of acoustic emission in metallic glasses. Scr. Mater. 63, 89 (2010).CrossRefGoogle Scholar
24.Lewandowski, J.J. and Greer, A.L.: Temperature rise at shear bands in metallic glasses. Nat. Mater. 5, 15 (2006).CrossRefGoogle Scholar
25.Wright, W.J., Saha, R., and Nix, W.D.: Deformation mechanisms of the Zr40Ti14Ni10Cu12Be24 bulk metallic glass. Mater. Trans., JIM 42, 642 (2001).CrossRefGoogle Scholar
26.Schuh, C., Nieh, T.G., and Kawamura, Y.: Rate dependence of serrated flow during nanoindentation of a bulk metallic glass. J. Mater. Res. 17, 1651 (2002).CrossRefGoogle Scholar
27.Schuh, C.A. and Nieh, T.G.: A nanoindentation study of serrated flow in bulk metallic glasses. Acta Mater. 51, 87 (2003).CrossRefGoogle Scholar
28.Kimura, H. and Masumoto, T.: Deformation and fracture of an amorphous Pd–Cu–Si alloy in V-notch bending tests. I: Model mechanics of inhomogeneous plastic flow in non-strain hardening solid. Acta Metall. 28, 1663 (1980).CrossRefGoogle Scholar
29.Kimura, H. and Masumoto, T.: A model of the mechanics of shear-crack propagation in tearing for amorphous metals. I. Critical shear stress for inhomogeneous flow. Philos. Mag. 44, 1005 (1981).CrossRefGoogle Scholar
30.Kimura, H. and Masumoto, T.: A model of the mechanics of shear-crack propagation in tearing for amorphous metals. II. Kinetics of inhomogeneous flow. Philos. Mag. 44, 1021 (1981).CrossRefGoogle Scholar
31.Kimura, H. and Masumoto, T.: A model of the mechanics of serrated flow in an amorphous alloy. Acta Metall. 31, 231 (1983).CrossRefGoogle Scholar
32.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
33.Dalla Torre, F.H., Klaumünzer, D., Maaß, R., and Löffler, J.F.: Stick-slip behavior of serrated flow during inhomogeneous deformation of bulk metallic glasses. Acta Mater. 58, 3742 (2010).CrossRefGoogle Scholar
34.Wang, G., Chan, K.C., Xia, L., Yu, P., Shen, J., and Wang, W.H.: Self-organized intermittent plastic flow in bulk metallic glasses. Acta Mater. 57, 6146 (2009).CrossRefGoogle Scholar
35.Sun, B.A., Yu, H.B., Jiao, W., Bai, H.Y., Zhao, D.Q., and Wang, W.H.: Plasticity of ductile metallic glasses: A self-organized critical state. Phys. Rev. Lett. 105, 035501 (2010).Google Scholar
36.Persson, B.N.J.: Sliding friction. Surf. Sci. Rep. 33, 83 (1999).CrossRefGoogle Scholar
37.Han, Z. and Li, Y.: Cooperative shear and catastrophic fracture of bulk metallic glasses from a shear-band instability perspective. J. Mater. Res. 24, 3620 (2009).CrossRefGoogle Scholar
38.Han, Z., Wu, W.F., Li, Y., Wei, Y.J., and Gao, H.J.: An instability index of shear band for plasticity in metallic glasses. Acta Mater. 57, 1367 (2009).CrossRefGoogle Scholar
39.Wright, W.J., Schwarz, R.B., and Nix, W.D.: Localized heating during serrated plastic flow in bulk metallic glasses. Mater. Sci. Eng., A 319-321, 229 (2001).CrossRefGoogle Scholar
40.Song, S.X. and Nieh, T.G.: Flow serration and shear-band viscosity during inhomogeneous deformation of a Zr-based bulk metallic glass. Intermetallics 17, 762 (2009).CrossRefGoogle Scholar
41.Chen, H.M., Huang, J.C., Song, S.X., Nieh, T.G., and Jang, J.S.C.: Flow serration and shear-band propagation in bulk metallic glasses. Appl. Phys. Lett. 94, 141914 (2009).CrossRefGoogle Scholar
42.Chen, C.Q., Pei, Y.T., and De Hosson, J.T.M.: Effects of size on the mechanical response of metallic glasses investigated through in situ TEM bending and compression experiments. Acta Mater. 58, 189 (2010).CrossRefGoogle Scholar
43.Klaumünzer, D., Maass, R., Dalla Torre, F.H., and Löffler, J.F.: Temperature-dependent shear band dynamics in a Zr-based bulk metallic glass. Appl. Phys. Lett. 96, 061901 (2010).CrossRefGoogle Scholar
44.Han, Z.H., He, L., Zhong, M.B., and Hou, Y.L.: Dual specimen-size dependences of plastic deformation behavior of a traditional Zr-based bulk metallic glass in compression. Mater. Sci. Eng., A 513-514, 344 (2009).Google Scholar
45.Maaß, R., Klaumünzer, D., and Löffler, J.F.: Propagation dynamics of individual shear bands during inhomogeneous flow in a Zr-based bulk metallic glass. Acta Mater. 59, 3205 (2011).CrossRefGoogle Scholar
46.Bharathula, A., Lee, S-W., Wright, W.J., and Flores, K.M.: Compression testing of metallic glass at small length scales: Effects on deformation mode and stability. Acta Mater. 58, 5789 (2010).CrossRefGoogle Scholar
47.Miracle, D.B., Concustell, A., Zhang, Y., Yavari, A.R., and Greer, A.L.: Shear bands in metallic glasses: Size effects on thermal profiles. Acta Mater. 59, 2831 (2011).CrossRefGoogle Scholar
48.Liu, Y.H., Liu, C.T., Gali, A., Inoue, A., and Chen, M.W.: Evolution of shear bands and its correlation with mechanical response of a ductile Zr55Pd10Cu20Ni5Al10 bulk metallic glass. Intermetallics 18, 1455 (2010).Google Scholar
49.Conner, R.D., Johnson, W.L., Paton, N.E., and Nix, W.D.: Shear bands and cracking of metallic glass plates in bending. J. Appl. Phys. 94, 904 (2003).CrossRefGoogle Scholar
50.Song, S.X., Wang, X.L., and Nieh, T.G.: Capturing shear band propagation in a Zr-based metallic glass using a high speed camera. Scr. Mater. 62, 847 (2010).CrossRefGoogle Scholar
51.Georgarakis, K., Aljerf, M., Li, Y., LeMoulec, A., Charlot, F., Yavari, A.R., Chornokhvostenko, K., Tabachnikova, E., Evangelakis, G.A., Miracle, D.B., Greer, A.L., and Zhang, T.: Shear band melting and serrated flow in metallic glasses. Appl. Phys. Lett. 93, 031907 (2008).CrossRefGoogle Scholar
52.Mayr, S.G.: Activation energy of shear transformation zones: A key for understanding rheology of glasses and liquids. Phys. Rev. Lett. 97, 195501 (2006).CrossRefGoogle ScholarPubMed
53.Rodney, D. and Schuh, C.: Distribution of thermally activated plastic events in a flowing glass. Phys. Rev. Lett. 102, 235503 (2009).CrossRefGoogle Scholar
54.Langer, J.S.: Shear-transformation-zone theory of plastic deformation near the glass transition. Phys. Rev. E: Stat. Nonlinear Soft Matter Phys. 77, 021502 (2008).CrossRefGoogle ScholarPubMed
55.Daub, E.G. and Carlson, J.M.: Stick-slip instabilities and shear strain localization in amorphous materials. Phys. Rev. E: Stat. Nonlinear Soft Matter Phys. 80, 066113 (2009).CrossRefGoogle ScholarPubMed
56.Homer, E.R., Rodney, D., and Schuh, C.A.: Kinetic Monte Carlo study of activated states and correlated shear-transformation-zone activity during the deformation of an amorphous metal. Phys. Rev. B 81, 064204 (2010).Google Scholar
57.Wu, Y., Chen, G.L., Hui, X.D., Liu, C.T., Lin, Y., Shang, X.C., and Lu, Z.P.: A quantitative link between microplastic instability and macroscopic deformation behaviors in metallic glasses. J. Appl. Phys. 106, 083512 (2009).Google Scholar
58.Stillinger, F.H.: A topographic view of supercooled liquids and glass formation. Science 267, 1935 (1995).CrossRefGoogle ScholarPubMed
59.Johnson, W.L. and Samwer, K.: A universal criterion for plastic yielding of metallic glasses with a (T/Tg)2/3 temperature dependence. Phys. Rev. Lett. 95, 195501 (2005).CrossRefGoogle Scholar
60.Kramer, E.J.: The growth of shear bands in polystyrene. J. Polym. Sci., Polym. Phys. Ed. 13, 509 (1975).CrossRefGoogle Scholar
61.Timothy, S.P.: The structure of adiabatic shear bands in metals: A critical review. Acta Metall. 35, 301 (1987).Google Scholar
62.Poirier, J.P.: Shear localization and shear instability in materials in the ductile field. J. Struct. Geol. 2, 135 (1980).CrossRefGoogle Scholar
63.Zhang, Y., Stelmashenko, N.A., Barber, Z.H., Wang, W.H., Lewandowski, J.J., and Greer, A.L.: Local temperature rises during mechanical testing of metallic glasses. J. Mater. Res. 22, 419 (2007).Google Scholar
64.Spaepen, F.: Metallic glasses: Must shear bands be hot? Nat. Mater. 5, 7 (2006).Google Scholar
65.Chen, H.S.: Glassy metals. Rep. Prog. Phys. 43, 353 (1980).CrossRefGoogle Scholar
66.Yang, B., Liu, C.T., and Nieh, T.G.: Unified equation for the strength of bulk metallic glasses. Appl. Phys. Lett. 88, 221911 (2006).CrossRefGoogle Scholar
67.Guan, P., Chen, M.W., and Egami, T.: Stress-temperature scaling for steady-state flow in metallic glasses. Phys. Rev. Lett. 104, 205701 (2010).CrossRefGoogle ScholarPubMed
68.Dubach, A., Dalla Torre, F.H., and Löffler, J.F.: Constitutive model for inhomogeneous flow in bulk metallic glasses. Acta Mater. 57, 881 (2009).CrossRefGoogle Scholar
69.Schuh, C.A., Lund, A.C., and Nieh, T.G.: New regime of homogeneous flow in the deformation map of metallic glasses: Elevated temperature nanoindentation experiments and mechanistic modeling. Acta Mater. 52, 5879 (2004).CrossRefGoogle Scholar
70.Dubach, A., Dalla Torre, F.H., and Löffler, J.F.: Deformation kinetics in Zr-based bulk metallic glasses and its dependence on temperature and strain-rate sensitivity. Philos. Mag. Lett. 87, 695 (2007).Google Scholar
71.Cain, R.G., Page, N.W., and Biggs, S.: Microscopic and macroscopic aspects of stick-slip motion in granular shear. Phys. Rev. E: Stat. Nonlinear Soft Matter Phys. 64, 016413 (2001).CrossRefGoogle ScholarPubMed
72.Maaß, R., Klaumünzer, D., Preiß, E.I., Derlet, P.M., and Löffler, J.F.: Plasticity of a single shear band in a bulk Zr-based metallic glass at cryogenic temperatures. (2011, under review).Google Scholar