Statistical analysis of propagation rates of indentation-induced radial cracks in soda-lime-silica glass

Research output: Contribution to journalArticleResearchpeer review

Authors

  • P. Kiefer
  • J. Deubener
  • R. Müller
  • H. Behrens

Research Organisations

External Research Organisations

  • Clausthal University of Technology
  • BAM Federal Institute for Materials Research and Testing
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Details

Original languageEnglish
Article number119739
JournalJournal of Non-Crystalline Solids
Volume527
Early online date2 Nov 2019
Publication statusPublished - 1 Jan 2020

Abstract

Due to the stochastic nature of crack nucleation by Vickers indentation, a statistical analysis of propagation rates of 185 radial cracks was performed. Crack growth was observed directly using a video camera with high image acquisition rate. It is found that propagation rates are controlled by the environmental reactions at the crack-tip shortly after their initiation (< 1 s). Calibration of the stress intensity KI showed that the residual stress factor χ and the exponent n of the equation KI = =χPc−n (with P = =load and c = =crack length) are broadly distributed among the 185 analyzed cracks, ranging from 10−16 to 104 and from 0.1 to 5, respectively. For the most frequent crack, the equation KI = =0.052Pc−1.47 holds. The results show that correlations of indentation-induced crack length to stress intensity necessitate the use of statistical significant data that are calibrated by the environmental reactions at the crack-tip.

Keywords

    Soda-lime-silica glass, Stress intensity factor, Subcritical crack growth, Vickers indentation

ASJC Scopus subject areas

Cite this

Statistical analysis of propagation rates of indentation-induced radial cracks in soda-lime-silica glass. / Kiefer, P.; Deubener, J.; Müller, R. et al.
In: Journal of Non-Crystalline Solids, Vol. 527, 119739, 01.01.2020.

Research output: Contribution to journalArticleResearchpeer review

Kiefer P, Deubener J, Müller R, Behrens H. Statistical analysis of propagation rates of indentation-induced radial cracks in soda-lime-silica glass. Journal of Non-Crystalline Solids. 2020 Jan 1;527:119739. Epub 2019 Nov 2. doi: 10.1016/j.jnoncrysol.2019.119739
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abstract = "Due to the stochastic nature of crack nucleation by Vickers indentation, a statistical analysis of propagation rates of 185 radial cracks was performed. Crack growth was observed directly using a video camera with high image acquisition rate. It is found that propagation rates are controlled by the environmental reactions at the crack-tip shortly after their initiation (< 1 s). Calibration of the stress intensity KI showed that the residual stress factor χ and the exponent n of the equation KI = =χPc−n (with P = =load and c = =crack length) are broadly distributed among the 185 analyzed cracks, ranging from 10−16 to 104 and from 0.1 to 5, respectively. For the most frequent crack, the equation KI = =0.052Pc−1.47 holds. The results show that correlations of indentation-induced crack length to stress intensity necessitate the use of statistical significant data that are calibrated by the environmental reactions at the crack-tip.",
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AU - Kiefer, P.

AU - Deubener, J.

AU - Müller, R.

AU - Behrens, H.

N1 - Funding information: We gratefully acknowledge financial support of the Deutsche Forschungsgemeinschaft (DFG) by the priority program SPP 1594 . We gratefully acknowledge financial support of the Deutsche Forschungsgemeinschaft (DFG) by the priority program SPP 1594.

PY - 2020/1/1

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N2 - Due to the stochastic nature of crack nucleation by Vickers indentation, a statistical analysis of propagation rates of 185 radial cracks was performed. Crack growth was observed directly using a video camera with high image acquisition rate. It is found that propagation rates are controlled by the environmental reactions at the crack-tip shortly after their initiation (< 1 s). Calibration of the stress intensity KI showed that the residual stress factor χ and the exponent n of the equation KI = =χPc−n (with P = =load and c = =crack length) are broadly distributed among the 185 analyzed cracks, ranging from 10−16 to 104 and from 0.1 to 5, respectively. For the most frequent crack, the equation KI = =0.052Pc−1.47 holds. The results show that correlations of indentation-induced crack length to stress intensity necessitate the use of statistical significant data that are calibrated by the environmental reactions at the crack-tip.

AB - Due to the stochastic nature of crack nucleation by Vickers indentation, a statistical analysis of propagation rates of 185 radial cracks was performed. Crack growth was observed directly using a video camera with high image acquisition rate. It is found that propagation rates are controlled by the environmental reactions at the crack-tip shortly after their initiation (< 1 s). Calibration of the stress intensity KI showed that the residual stress factor χ and the exponent n of the equation KI = =χPc−n (with P = =load and c = =crack length) are broadly distributed among the 185 analyzed cracks, ranging from 10−16 to 104 and from 0.1 to 5, respectively. For the most frequent crack, the equation KI = =0.052Pc−1.47 holds. The results show that correlations of indentation-induced crack length to stress intensity necessitate the use of statistical significant data that are calibrated by the environmental reactions at the crack-tip.

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