A stochastic analysis of glass crack initiation under thermal loading

Abstract Window glass breakage plays a key role in compartment fire development as it opens a new vent for fresh air that accelerates the fire. To explore the correlation between temperature change and crack initiation, a series of experiments were preformed for float and Low-E glasses under uniform radiation conditions in a well designed facility. At the time of crack, the critical temperature differences of float glass and Low-E glass are 95 °C and 108 °C, respectively, with a same central temperature of 152 °C. The critical breaking stress occurs at 51 MPa and 70 MPa for float and Low-E glass, respectively. Detailed Weibull distribution functions on temperature and stress are obtained by fitting the experimental data. Failure probability function, survival probability function, probability density function are obtained and used to predict the glass failure with the survival probability at 0.9 and failure probability at 0.1. These results may be used to predict the crack probability of a glass bearing certain temperature and stress distributions.

[1]  Craig L. Beyler,et al.  An Experimental Investigation of Glass Breakage in Compartment Fires , 1991 .

[2]  Yu Wang,et al.  Dynamic three-dimensional stress prediction of window glass under thermal loading , 2012 .

[3]  Olavi Keski-Rahkonen,et al.  Breaking of Window Glass Close to Fire , 1988 .

[4]  K. Kang,et al.  Assessment of a model development for window glass breakage due to fire exposure in a field model , 2009 .

[5]  K. M. Liew,et al.  Experimental Study on Thermal Breakage of Four-Point Fixed Glass Façade , 2014 .

[6]  Richard M. Bennett,et al.  Three-parameter vs. two-parameter Weibull distribution for pultruded composite material properties , 2002 .

[7]  S. Lewis,et al.  Size and scale effects in composites: III. Woven-roving laminates , 1999 .

[8]  G. W. H. Silcock,et al.  Performance of a single glazing assembly exposed to enclosure corner fires of increasing severity , 2001 .

[9]  Yu Wang,et al.  Experimental study on critical breaking stress of float glass under elevated temperature , 2014 .

[10]  Samuel L. Manzello,et al.  An Experimental Determination of a Real Fire Performance of a Non-Load Bearing Glass Wall Assembly , 2007 .

[11]  R. Doremus,et al.  Handbook of glass properties , 1986 .

[12]  Lei Peng,et al.  Experimental study on fire performance of double-skin glass facades , 2012 .

[13]  Kanchan Jain,et al.  The Beta Generalized Weibull distribution: Properties and applications , 2012, Reliab. Eng. Syst. Saf..

[14]  Michael S. Klassen,et al.  Transmission Through and Breakage of Multi-Pane Glazing Due to Radiant Exposure , 2006 .

[15]  Jim Shields,et al.  Behaviour of Double Glazing in Corner Fires , 2005 .

[16]  Yu Wang,et al.  Development of a dynamic model for crack propagation in glazing system under thermal loading , 2014 .

[17]  Haodong Chen,et al.  Numerical study on fire response of glass facades in different installation forms , 2014 .

[18]  Patrick J. Pagni,et al.  Fire-induced thermal fields in window glass. II—experiments , 1994 .

[19]  Patrick J. Pagni,et al.  Fire-induced thermal fields in window glass. I—theory , 1994 .

[20]  W. Weibull.  A statistical theory of the strength of materials , 1939 .

[21]  W. Weibull.  A Statistical Distribution Function of Wide Applicability , 1951 .

[22]  Yu Wang,et al.  Simulating the Thermal Response of Glass Under Various Shading Conditions in a Fire , 2013 .

[23]  H. W. Emmons,et al.  The Needed Fire Science , 1986 .

[24]  W. B. Harvey,et al.  The Weakest Link , 2008 .

[25]  Zhang Yi,et al.  Experimental Study on Crack of Float Glass with Different Thicknesses Exposed to Radiant Heating , 2011 .

[26]  Yu Wang,et al.  Frame constraint effect on the window glass crack behavior exposed to a fire , 2013 .

[27]  Y. Gao,et al.  EXPERIMENTAL STUDIES ON FIRE RESPONSE OF GLASS FAÇADE SYSTEMS , 2006 .