TY - JOUR

T1 - Statistical analysis of propagation rates of indentation-induced radial cracks in soda-lime-silica glass

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

Y1 - 2020/1/1

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.

KW - Soda-lime-silica glass

KW - Stress intensity factor

KW - Subcritical crack growth

KW - Vickers indentation

UR - http://www.scopus.com/inward/record.url?scp=85074239148&partnerID=8YFLogxK

U2 - 10.1016/j.jnoncrysol.2019.119739

DO - 10.1016/j.jnoncrysol.2019.119739

M3 - Article

AN - SCOPUS:85074239148

VL - 527

JO - Journal of Non-Crystalline Solids

JF - Journal of Non-Crystalline Solids

SN - 0022-3093

M1 - 119739

ER -