For many viscous materials, the viscosity \(\eta\) may be defined in terms of
the expression
$$
\eta=\frac{\sigma}{d \epsilon / d t}
$$
where \(\sigma\) and \(d \epsilon / d t\) are, respectively, the tensile stress
and the strain rate. A cylindrical specimen of a soda-lime glass of diameter 5
\(\mathrm{mm}(0.2\) in.) and length \(100 \mathrm{~mm}\) (4 in.) is subjected to a
tensile force of \(1 \mathrm{~N}\left(0.224 \mathrm{lb}_{\mathrm{f}}\right)\)
along its axis. If its deformation is to be less than \(1 \mathrm{~mm}(0.04\)
in.) over a week's time, using Figure 13.7, determine the maximum temperature
to which the specimen may be heated.