Kinetic Processes in Materials |
3.21 Spring 2002 |
Samuel M. Allen and W. Craig Carter |
Department of Materials Science and Engineering |
Massachusetts Institute of Technology |
77 Massachusetts Ave. |
Cambridge, MA 02139 |
Exercise 7.1
Use the symmetric molar regular free energy of mixing
for a binary alloy of and
at fixed pressure.
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Exercise 7.2
Consider the stagnation problem associated with the disappearance of
a nearly cylindrical grain in a thin sheet with thickness .
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Exercise 7.3
Calculating the fastest growing and smallest unstable wavelengths
for a cylinder
which is evolving due to surface diffusion.
Start with a uniform cylinder and perturb with an infinitessimal pertubation
. Use the small slope approximation
for the surface diffusion equation:
Exercise 7.4
Determine the fastest growing and smallest unstable wavelengths
(if they exist) for: