Characterization of shallow stress-profiles in chemically strengthened soda-lime glass

Sun, Hailin; Hödemann, Siim; Dugnani, Roberto

doi:10.1016/j.jnoncrysol.2019.01.023

Cited by 11 publications

(16 citation statements)

References 33 publications

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“…In the proposed approaches, the material behavior was inferred directly from ion‐exchanged SLG rather than from “as‐melted” samples since the latter had been shown to display different properties than ion‐exchanged glasses . Moreover several mature and relatively accurate techniques exist to measure residual stress profiles in ion‐exchanged SLG …”

Section: Discussionmentioning

confidence: 99%

“…This task was accomplished by following the methodology outlined by Mills and Sievert and Eisenberg and Takahashi . Although for

T > T_{normalg}

the shift factor,

\log_{10} a_{T}

, was accurately described by the WLF Equation, for

T < T_{normalg}

, a modified equation has been shown to be more appropriate:

\log_{10} a_{normalT} = - 0.0244 Δ T + 0.697 for 0.7 < \frac{T}{T_{g}} < 0.9

…”

Section: Methodsmentioning

confidence: 99%

“…The relationship could be further simplified as for small changes in the glass's chemical composition at constant temperature, the ratio

τ_{2} / τ_{1}

has been shown to be nearly constant:

\frac{τ_{2}}{τ_{1}} = \frac{τ_{0, 2}}{τ_{0, 1}} = \frac{τ_{0, 2} (1 + χ_{2} e r f c (α))}{τ_{0, 1} (1 + χ_{1} e r f c (α))} = k

…”

Section: Methodsmentioning

confidence: 99%

“…It followed that the proportionality constants describing the relationship between the time constants and the concentration were nearly identical, that is,

χ_{1} = χ_{2}

. Sun et al estimated that at 450°C A 1 = 0.23; A 2 = 0.77; k = 0.03. By indicating as,

σ_{0}

, the hypothetical residual stress in the absence of relaxation, and combining Equation(), Equation(), and the values of A 1 , A 2 , and k , from Sun et al, the stress relaxation function for ion‐exchanged SLG at 450°C was obtained:

σ (t) = σ_{0} (α) \cdot (0.23 e^{- \frac{t}{τ_{1} (α, 450^{\circ} C)}} + 0.77 e^{- \frac{t}{0.03 τ_{1} (α, 450^{\circ} C)}})

…”

Section: Methodsmentioning

confidence: 99%

“…The values of

τ_{1}

τ_{2}

, and

σ_{0}

were estimated for selected

α^{'} s

by regressing the master stress relaxation curve at

T_{ref}

, through Equation(). Although

A_{1}

A_{2}

, and

k

were assumed constant,

σ_{0} = \frac{B (α) \cdot E}{1 - v} \cdot Δ C

was a function of

α

. Assuming both E and

v

as approximately constants (ie, E = 65.1 Gpa,

v = 0.22

), then B ( α ) could be easily estimated.…”

Section: Methodsmentioning

confidence: 99%

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A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K⁺/Na⁺concentration

Sun

Dugnani

2019

Int J of Appl Glass Sci

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In the past, studies have shown that the chemical composition within the exchanged layer could influence both the stress build‐up magnitude and the stress relaxation rate. In this work, a novel approach was proposed to estimate the relationship between the stress relaxation parameters, the dilation coefficient, and the relative K+/Na+ concentration. The proposed method required knowledge of the residual stress profiles, the molten salt bath's temperature and soaking time, and the bath's composition. Based on the analyses performed on various residual stress profiles in ion‐exchanged soda‐lime glass, both the dilation coefficient and the magnitudes of the relaxation time constants were found to consistently decrease with K2O concentration.

show abstract

Section: Discussionmentioning

confidence: 99%

“…This task was accomplished by following the methodology outlined by Mills and Sievert and Eisenberg and Takahashi . Although for

T > T_{normalg}

the shift factor,

\log_{10} a_{T}

, was accurately described by the WLF Equation, for

T < T_{normalg}

, a modified equation has been shown to be more appropriate:

\log_{10} a_{normalT} = - 0.0244 Δ T + 0.697 for 0.7 < \frac{T}{T_{g}} < 0.9

…”

Section: Methodsmentioning

confidence: 99%

“…The relationship could be further simplified as for small changes in the glass's chemical composition at constant temperature, the ratio

τ_{2} / τ_{1}

has been shown to be nearly constant:

\frac{τ_{2}}{τ_{1}} = \frac{τ_{0, 2}}{τ_{0, 1}} = \frac{τ_{0, 2} (1 + χ_{2} e r f c (α))}{τ_{0, 1} (1 + χ_{1} e r f c (α))} = k

…”

Section: Methodsmentioning

confidence: 99%

“…It followed that the proportionality constants describing the relationship between the time constants and the concentration were nearly identical, that is,

χ_{1} = χ_{2}

. Sun et al estimated that at 450°C A 1 = 0.23; A 2 = 0.77; k = 0.03. By indicating as,

σ_{0}

σ (t) = σ_{0} (α) \cdot (0.23 e^{- \frac{t}{τ_{1} (α, 450^{\circ} C)}} + 0.77 e^{- \frac{t}{0.03 τ_{1} (α, 450^{\circ} C)}})

…”

Section: Methodsmentioning

confidence: 99%

“…The values of

τ_{1}

τ_{2}

, and

σ_{0}

were estimated for selected

α^{'} s

by regressing the master stress relaxation curve at

T_{ref}

, through Equation(). Although

A_{1}

A_{2}

, and

k

were assumed constant,

σ_{0} = \frac{B (α) \cdot E}{1 - v} \cdot Δ C

was a function of

α

. Assuming both E and

v

as approximately constants (ie, E = 65.1 Gpa,

v = 0.22

), then B ( α ) could be easily estimated.…”

Section: Methodsmentioning

confidence: 99%

See 3 more Smart Citations

A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K⁺/Na⁺concentration

Sun

Dugnani

2019

Int J of Appl Glass Sci

Self Cite

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show abstract

Effects of OH− anion additive concentration in nitrate salt baths on chemical strengthening of Li2O–Al2O3–SiO2 (LAS) glass

Lyu

Hao

Hou

et al. 2020

Ceramics International

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Statistical accuracy of fractographic estimation in silicate glasses with design of experiments and pairwise T-tests

Djurdjanović

Dugnani

2020

Engineering Failure Analysis

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Characterization of shallow stress-profiles in chemically strengthened soda-lime glass

Cited by 11 publications

References 33 publications

A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K⁺/Na⁺concentration

A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K⁺/Na⁺concentration

Effects of OH− anion additive concentration in nitrate salt baths on chemical strengthening of Li2O–Al2O3–SiO2 (LAS) glass

Statistical accuracy of fractographic estimation in silicate glasses with design of experiments and pairwise T-tests

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Characterization of shallow stress-profiles in chemically strengthened soda-lime glass

Cited by 11 publications

References 33 publications

A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K+/Na+ concentration

A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K+/Na+ concentration

Effects of OH− anion additive concentration in nitrate salt baths on chemical strengthening of Li2O–Al2O3–SiO2 (LAS) glass

Statistical accuracy of fractographic estimation in silicate glasses with design of experiments and pairwise T-tests

Contact Info

Product

Resources

About

A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K⁺/Na⁺concentration

A study on ion‐exchanged, soda‐lime glass’s residual stress relationship with K⁺/Na⁺concentration