Abstract
The free energy of a stressed crystal is assumed to consist of elastic strain energy and surface energy, and the chemical potential for surface diffusion at constant temperature is obtained under this assumption. A gradient in chemical potential results in diffusive mass transport along the surface. The result is applied in considering the phenomena of instability of a flat surface in a stressed material under fluctuations in surface shape, and the transient evolution of surface roughness due to an initial perturbation in the nearly flat free surface of the material, both under plane strain conditions.
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Freund, L.B. Evolution of roughness on the surface of a strained elastic material due to stress-driven surface diffusion. Acta Mech Sinica 10, 16–26 (1994). https://doi.org/10.1007/BF02487654
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DOI: https://doi.org/10.1007/BF02487654