Abstract
A basic ternary sodium aluminosilicate glass system is described since this simple system forms the basis for glasses readily ion-exchanged to the high surface compressive stress and deep compressive stress layer. The ionic interdiffusion of monovalent alkali ions within an aluminosilicate glass is described and the complementary error function form of the invading ion concentration profile is established. The generation of the stress profile from the concentration gradient is then described mathematically. The basics of fracture mechanics are reviewed and then used to describe the advantages of ion-exchanged glasses, namely imparting high surface strength to allow highly flexible and bendable thin glass sheets and for thicker glass, the retention of strength following deep contact damage. A simple model is described that can accurately predict the retained strength as a function of flaw depth for a known stress profile. The frangibility behavior of ion-exchanged glasses is also described in terms of stored strain energy and cracking responses are shown. The sharp contact failure mode for cover glasses is also described and the use of a Vickers diamond indenter to replicate this type of failure mode is demonstrated. Experimental data show that the resistance to sharp contact strength-limiting flaw generation is improved both with high compressive stress enveloping the deformation region and by utilizing glass compositions that are more resistant to subsurface damage during sharp contact events. Sliding Knoop and Vickers indenter scratch testing shows that ion-exchanged glasses with resistance to subsurface damage do not produce highly visible lateral cracks at loads that readily produce this type of damage in typical ion-exchanged aluminosilicate glasses.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S.S. Kistler: Stresses in glass produced by nonuniform exchange of monovalent ions, J. Am. Ceram. Soc. 45, 59–68 (1962)
M.E. Nordberg, E.L. Mochel, H.M. Garfinkel, J.S. Olcott: Strengthening by ion exchange, J. Am. Ceram. Soc. 47, 215–219 (1964)
J.H. Seaman, P.J. Lezzi, T.A. Blanchet, M. Tomozawa: Degradation of ion-exchange strengthened glasses due to surface stress relaxation, J. Non-Cryst. Solids 403, 113–123 (2014)
E. Gehrke, C. Ullner, M. Hahnert: Fatigue limit and crack arrest in alkali-containing silicate glasses, J. Mater. Sci. 26, 5445–5455 (1991)
C.R. Kurkjian, J.T. Krause, M.J. Matthewson: Strength and fatigue of silica optical fibers, J. Lightwave Technol. 7, 1360–1370 (1989)
A. Makashima, J.D. Mackenzie: Direct calculation of Young's modulus of glass, J. Non-Cryst. Solids 12, 35–45 (1973)
A. Makashima, J.D. Mackenzie: Calculation of bulk modulus, shear modulus, and Poisson's ratio of glass, J. Non-Cryst. Solids 17, 147–157 (1975)
X. Zuo, H. Toratani: Compositional design of high modulus glasses for disk substrates, J. Non-Cryst. Solids 290, 180–188 (2001)
A. Dietzel: Die Kationenfeldstärken und ihre Beziehungen zu Entglasungsvorgängen, zur Verbindungsbildung und zu den Schmelzpunkten von Silicaten, Z. Electrochem. 48, 9–23 (1942)
V.Y. Livshits, D.G. Tennison, S.B. Gukasyan, A.K. Kostanyan: Acoustic and elastic properties of glasses in the Na2O-Al2O3-SiO2 system, Sov. J. Glass Phys. Chem. 8, 463–468 (1982)
A.J. Burggraaf, J. Cornelissen: Strengthening of glass by ion exchange, Phys. Chem. Glasses 5, 123–129 (1964)
R.D. Shannon: Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides, Acta. Cryst. 32, 751–767 (1976)
R.H. Doremus: Exchange and diffusion of ions in glass, J. Phys. Chem. 68, 2212–2218 (1964)
R. Terai: The mixed alkali effect in the Na2O-Cs2O-SiO2 glasses, J. Non-Cryst. Solids 6, 121–135 (1971)
A.K. Varshneya, M.E. Milberg: Ion exchange in sodium borosilicate glasses, J. Am. Ceram. Soc. 57, 165–169 (1974)
A.R. Cooper, D.A. Krohn: Strengthening of glass fibers: II, Ion exchange, J. Am. Ceram. Soc. 52, 665–669 (1969)
A.Y. Sane, A.R. Cooper: Stress buildup and relaxation during ion-exchange strengthening of glass, J. Am. Ceram. Soc. 70, 86–89 (1987)
R.W. Douglas: The rheology of glassy materials – A general survey. In: Amorphous Materials, ed. by R.W. Douglas, B. Ellis (Wiley, London 1972) pp. 3–22
M. Tomozawa, R.W. Hepburn: Surface structural relaxation of silica glass: A possible mechanism of mechanical fatigue, J. Non-Cryst. Solids 345, 449–460 (2004)
A. Agarwal, M. Tomozawa: Surface and bulk structural relaxation kinetics of silica glass, J. Non-Cryst. Solids 209, 264–272 (1997)
M. Tomozawa, P.J. Lezzi, R.W. Hepburn, T.A. Blanchet, D. Cherniak: Surface stress relaxation and resulting residual stress in glass fibers: A new mechanical strengthening mechanism of glass, J. Non-Cryst. Solids 358, 2650–2662 (2012)
D.C. Allan, K.W. Koch, R.V. Roussev, R.A. Schaut, V.M. Schneider: Systems and methods for measuring the stress profile of ion-exchanged glass, US Patent (Application), 9140543 (2015), Assigned to Corning Incorporated
G.R. Irwin: Analysis of stresses and strains near the end of a crack traversing a plate, J. Appl. Mech. 24, 361–364 (1957)
G.S. Glaesemann, K. Jakus, J.E. Ritter: Strength variability of indented soda-lime glass, J. Am. Ceram. Soc. 70, 441–444 (1987)
J.B. Wachtman, W.R. Cannon, M.J. Matthewson: Mechanical Properties of Ceramics (Wiley, Hoboken 2009)
R.J. Charles: A review of glass strength. In: Progress in Ceramic Science, Vol. 1, ed. by J.E. Burke (Pergamon, New York 1961) pp. 1–38
W.B. Hillig: Sources of weakness and the ultimate strength of brittle amorphous solids. In: Modern Aspects of the Vitreous State, ed. by J.D. Makenzie (Butterworth, Washington DC 1962) pp. 152–194
T.A. Michalske: The stress corrosion limit: It's measurement and implications. In: Fracture Mechanics of Ceramics, Vol. 5, ed. by R.C. Bradt, A.G. Evans, D.P.H. Hasselmann, F.F. Lange (Plenum, New York 1983) pp. 277–289
S.T. Gulati, J. Westbrook, S. Carley, H. Vepakomma, T. Ono: Two point bending of thin glass substrate, SID Symp. Dig. Techn. Pap. 45(2), 652–654 (2011)
J.D. Makenzie, J. Wakaki: Effects of ion exchange on the Young's modulus of glass, J. Non-Cryst. Solids 38/39, 385–390 (1980)
B.R. Lawn: Fracture of Brittle Solids (Cambridge University Press, New York 1993)
D.C. Allan, X. Guo, G. Hu, G. Peng: Method for achieving a stress profile in a glass, US Patent Application, 14/540328 (2014), Assigned to Corning Incorporated
G.D. Quinn, R.C. Bradt: On the Vickers indentation fracture toughness test, J. Am. Ceram. Soc. 90, 673–680 (2007)
D.J. Green: Compressive surface strengthening of brittle materials by a residual stress distribution, J. Am. Ceram. Soc. 66, 807–810 (1983)
S.T. Gulati: Frangibility of tempered soda-lime glass sheet. In: Glass Processing Days: Architectural and Automotive Glass: Now and In the Future, ed. by J. Vitkala (Tamglass Engineering Oy, Tampere 1997) pp. 72–76
J.T. Hagan, M.V. Swain: The origin of median and lateral cracks around plastic indents in brittle materials, J. Phys. D 11, 2091–2102 (1978)
A. Arora, D.B. Marshall, B.R. Lawn: Indentation deformation/fracture of normal and anomalous glasses, J. Non-Cryst. Solids 31, 415–428 (1979)
J.T. Hagan: Shear deformation under pyramidal indentations in soda-lime glass, J. Mater. Sci. 15, 1417–1424 (1980)
B.R. Lawn, T.P. Dabbs, C.J. Fairbanks: Kinetics of shear-activated indentation crack initiation in soda-lime glass, J. Mater. Sci. 18, 2785–2797 (1983)
K. Hirao, M. Tomozawa: Microhardness of SiO\({}_{2}\) in various environements, J. Am. Ceram. Soc. 70, 497–502 (1987)
K.L. Barefoot, M.J. Dejneka, S. Gomez, T.M. Gross, N. Shashidhar: Crack and scratch resistant glass and enclosures made therefrom, US Patent (Application), 8586492 (2013), Assigned to Corning Incorporated
J.D. Mackenzie: High pressure effects on oxide glasses: I, Densification in rigid state, J. Am. Ceram. Soc. 46, 461–476 (1963)
J.E. Neely, J.D. Mackenzie: Hardness and low-temperature deformation of silica glass, J. Mater. Sci. 3, 603–609 (1968)
K.W. Peter: Densification and flow phenomena of glass in indentation experiments, J. Non-Cryst. Solids 5, 103–115 (1970)
J.T. Hagan: Cone cracks around Vickers indentations in fused silica glass, J. Mater. Sci. 14, 462–466 (1979)
S. Yoshida, J.C. Sangleboeuf, T. Rouxel: Qualitative evaluation of indentation-induced densification in glass, J. Mater. Res. 20, 3404–3412 (2005)
T. Rouxel: Driving force for indentation cracking in glass: Composition, pressure, and temperature dependence, Philos. Trans. R. Soc. A 373, 1–26 (2014)
G.N. Greaves, A.L. Greer, R.S. Lakes, T. Rouxel: Poisson's ratio and modern materials, Nat. Mater. 10, 823–837 (2011)
Y. Kato, H. Yamazaki, Y. Kubo, S. Yoshida, J. Matsuoka, T. Akai: Effect of B2O3 content on crack initiation under Vickers indenter test, J. Ceram. Soc. Japan 118, 792–798 (2010)
A.J. Ellison, T.M. Gross: Alkaline earth alumino-borosilicate crack resistant glass, US Patent (Application), 8796165 (2014), Assigned to Corning Incorporated
T.M. Gross, R.E. Youngman: Low modulus, damage resistant glass for ultra-thin applications. In: Flexible Glass, ed. by S. Garner (Scrivener, Beverly 2017) pp. 63–83
A. Zeidler, P.S. Salmon, L.B. Skinner: Packing and the structural transformations in liquid and amorphous oxides from ambient to extreme conditions, Proc. Natl. Acad. Sci. USA 111, 10045–10048 (2014)
J. Wu, J. Deubener, J.F. Stebbins, L. Grygarova, H. Behrens, L. Wondraczek, Y. Yue: Structural response of a highly viscous aluminoborosilicate melt to isotropic and anisotropic compressions, J. Chem. Phys. 131, 104504-1-10 (2009)
T.M. Gross: Deformation and cracking behavior of glasses indented with diamond tips of various sharpness, J. Non-Cryst. Solids 358, 358–366 (2012)
V. Le Hourou, J.C. Sangleboeuf, S. Deriano, T. Rouxel, G. Duisit: Sliding indentation fracture of brittle materials: Role of elastic stress fields, Mech. Mater. 29, 143–152 (2003)
T.M. Gross: Scratch damage in ion-exchanged alkali aluminosilicate glass: Crack evolution and the dependence of lateral cracking threshold on contact geometry. In: Fractography of Glasses and Ceramics VI, ed. by J.R. Varner, M. Wightman (Wiley, New Jersey 2012) pp. 113–122
Acknowledgements
I would like to thank all colleagues that contributed to the understanding of ion-exchangeable glasses presented in this chapter. In particular, I would like to thank Ben Hanson for providing microprobe data, Doug Allan and Guangli Hu for useful discussions and guidance regarding stress profile generation and fracture mechanics modeling, Kevin Reiman for flaw-depth measurements in abraded ring-on-ring samples, Steve Carley for strain gage measurements, Charlene Smith for providing samples with varying levels of stored strain energy, and Anthony Furstoss for break pattern imaging. The fracture mechanics guidance provided by Scott Glaesemann and Jim Price is greatly appreciated.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Gross, T.M. (2019). Chemical Strengthening of Glass. In: Musgraves, J.D., Hu, J., Calvez, L. (eds) Springer Handbook of Glass. Springer Handbooks. Springer, Cham. https://doi.org/10.1007/978-3-319-93728-1_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-93728-1_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-93726-7
Online ISBN: 978-3-319-93728-1
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)