Abstract

Strain effects are included in the thermal stability analysis of rod eutectic structures. The growth rate or decay of a radial perturbation of a given wavelength along the rod axis is analyzed. When no strain effects are included, the perturbation grows for wave vectors ( kR 0) < 1, where R 0 is the unperturbed rod radius. Introducing strain effects in a coherent interface strongly affects the rod stability. When ƒ R 0 , where ƒ is the surface stress, is very small, the instability for ( kR 0) < 1 is enhanced. For larger values of ƒ R 0 , however, the strain effects stabilize the rods. The critical wave vector, ( kR 0) cr , below which instabilities occur, decreases as ƒ R 0 increases. There is a limiting value of ƒ R 0 above which the rod structure is stable against all fluctuations, including those of infinite wavelength.

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