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Started by Julius C. Chang
Fri, 30 Oct 1992 13:56
Glass flow
Author: Julius C. Chang
Date: Fri, 30 Oct 1992 13:56
Date: Fri, 30 Oct 1992 13:56
27 lines
1543 bytes
1543 bytes
Assuming that glass is an ideal (Newtonian) fluid, then the
shear strain rate dg/dt = (1/n) * T, where g = shear strain, t = time,
n = viscosity, and T = shear stress.
For standard soda-lime-silica glass, n = 10**19 Pa-sec. To estimate
T, I estimate the density of the glass at 2.5 g/cc. For a 1 meter wide
pane of glass, that gives a shear stress of about 2.5 Pa (assuming that
gravitational acceleration is 10 m/sec/sec).
The integration of dg/dt is simple and gives g = (2.5 x 10**-19) * t.
To bracket the amount of time required for a pane of window glass to
sag noticeably, let's pick g = 0.1 and g = 10**-8 as the high and low
shear strain ranges. This gives a range of time 10**11 sec < t < 10**18 sec.
10**11 sec equals 1.2 x 10**6 days or 3200 years. 10**18 sec equals
3 x 10**10 years.
The choice of g's is based upon a 1 cm thick pane of glass which
gives a thickness change of 1 mm (g = 0.1) and 1 Angstrom (g = 10**-8),
respectively.
As for whether or not glass is a supercooled liquid, look up the
definitions. Would a rapidly solidified, amorphous, melt-spun ribbon
also be called a supercooled liquid or would you say that it is a
solid with the non-crystalline structure of the liquid phase frozen-in
due to kinetics.
-Julius
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