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Effect of edge defects on sheet glass bending strength
Published by: cfz 2010-03-17
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    Glint: A visual defect in a fiber glass reinforced cured organic (usually This usually does not effect the strength of a laminate, but could be an
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    I am involved in a research project in which we use slumped sheet glass (alkaline free borosilicate glass .3 mm thick) in telescopes. The glass is cut using a scriber, leaving microcracks in each cut edge. I am looking for a quantitative answer (whether in the form of an equation or a graph) that directly relates the number of microcracks to the decrease in overall bending strength of the glass. I have searched the web, as well as various school libraries, for a scientific paper that addresses this issue. I have found many, but none of them are quantitative. They all come to the same conclusion--that edge defects do in fact have significant effects on bending strength. However, I need an exact scientific method in order to convince a committee to invest money in a wire cutter which would greatly improve the edge condition. I have already searched the Corning glassware site, the Schott glass site (where we order the glass from), Columbia University Libraries (which has a pretty comprehensive website), and various scientfic journal databases online. I have also read through mechanical engineering and material science texts discussing fracture toughness, but was unable to come up with a congruent method. I am a student, so I cannot afford to offer a high price, however, receiving this information (the sooner, the better) would greatly contribute to the efforts of our research team.
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  • The growth of a crack has been studied and a complex equation describing it does exist. However, that does not translate into what you asking for: Number of cracks is nor sufficient to dtermine the strength. One would need a statistical measure of the crack size distribution. Would you consider either of the above as an answer? To convince a comittee a more practical, engineering approach, may be more effective,than "exact scientific method" such as comparing cost of polishing to the cost of a different cutter.
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    Exploring complementary cutting methods: Comparing capabilities of ::
    product in the direction of the lens or produces defects on the cut surface. On single layers of thin sheet metal, lasers cut at fast speeds with tolerances
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  • Hedgie, Rather than comparing the "cost of polishing to the cost of a different cutter," we are trying to prove whether or not we need to change anything at all. We have a hot wire-cutter which produces a very smooth edge with almost no microcracks. However, much money would be needed to make the machine more effecient and user friendly. What the committe would like to see is proof that the microcracks in our existing glass (cut with the scriber) decreases bending strength significantly enough to invest money in the wire-cutter (or even polishing, if that turns out to be a more efficient means). The only reason I asked for a "quantitative answer that directly relates the number of microcracks to the decrease in overall bending strength of the glass" is because our research director mentioned once seeing such an existing method (but I have not been able to find it). Saying that such a method does not exist is definitely helpful, but I still need a quantitative way of measuring the bending strength of our glass with microcracks vs. that of the same piece with a smooth edge. Can you elaborate on "a statistical measure of the crack size distribution"? This sounds like it might be very helpful. Please let me know if any further clarification is necessary. And thank you for your time and effort.
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  • hello again, sblowen Thanks forthe clarification, it helps. The literature on 'cracks and material strength' is extensive and the challenge is to find the needle which will serve your purpose, in the haystack of specialized studies which are available on the web, which is a small fraction of the total. Since no one picked up the challenge so far, I will go ahead and list few links which appear to be relevant. Here is a bit of overview and history: " As early as the 1920s, the strength of glass and other brittle materials was understood to be limited by the presence of small cracks. Under stress, the small cracks would grow into larger cracks until reaching a critical size, at which point the material would fracture catastrophically. It also was well known that humid environments reduced the strength more severely than did dry environments... .." http://nvl.nist.gov/pub/nistpubs/sp958-lide/181-183.pdf. Simple Model of the crack propagation www.poco.phy.cam.ac.uk/~rbb11/EIS.pdf Griffith's contribution : (energy balance) Griffith's criterion was based on the observation that glass is not internally homogeneous but rather contain pores ... http://www.geosc.psu.edu/~engelder/geosc465/lect14.rtf A bit of theory and some basic equations (Griffith-Irwin) www.utm.edu/departments/engin/lemaster/ Machine%20Design/Lecture%2012.pdf Limitations of the Griffith approach http://www.mpg.de/english/illustrationsDocumentation/documentation/pressReleases/2000/news15_00.htm Empirical study of slow crack propagation in glass http://www.physics.usyd.edu.au/apphys/crack.html Lot of the material can be found in subscription journals such as: J . Appl. Physics (subscription required) J E Flitcroft and R D Adams Dept. of Mech. Engng., Univ. of Bristol, Bristol, UK ".. Shear crack propagation has been studied in unidirectional glass and carbon fiber reinforced plastics.." or monographs http://www.solid.ikp.liu.se/solidbook/lawn.htm Since growth of cracks depends on local stress, solution of the Navier-Stokes eq. for the structure is often necessary in engineering design studies. That probably is more then you want to do in your case, but as an illustration, this link may be of interest: simu.ulb.ac.be/newsletters/N3VI.pdf Search Terms Crack Propagation Griffith Theory crack propagation, Navier Stokes hedgie





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