-
Review
of elasticity equations.
-
Introduction/Review
of diffusion phenomena and mass transport equations.
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Eigenstrain
strain.
Effects of eigenstrain on elastic strain and deformational strain.
Effects of temperature and molar concentration on eigenstrain via
molar volume.
Effects of eigenstrain on chemical potential via elastic strain.
The complete cycle: nonuniform concentration - eigenstrain - elastic
strain -
chemical potential - diffusion.
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Surface
chemical potential & surface diffusion.
Surface energy momentum tensor or surface configurational stress.
Stability of half space against elastic perturbation.
Stability of half space against surface configurational perturbation.
Stability of epifilms on substrates.
Constrained evolution and self-assembly.
Motion & evolution of voids.
Collapsing of voids into cracks.
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Bulk
diffusion.
Stability & evolution of alloy.
Stability & evolution of alloy epifilms.
Electromigration.
Text: None.
Reference:
- Mathematical theory of elasticity. Sokolnikoff,
I. S., McGraw-Hill, 1946.
- Theory of Elasticity. Timoshenko, S.,
McGraw-Hill, 1970.
- Mechanics of continua. Eringen, A. C.,
R. E. Krieger Pub. Co., 1980.
- The mechanical properties of matter. Cottrell,
A. H., John Wiley & Sons, Inc., 1964.
- Diffusion in solids. Shewmon, P., The
Minerals, Metals & Materials Society, 1989.
Academic honesty:
You are encouraged to work on the assignment problems with your
fellow students. However, the assignment solution that you turn in for
credit should reflect your own understanding learned from the group
discussion. Do not copy directly from work of other students.
Academic dishonesty is a severe breach to the student's code.
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