Abstract
The theory of inclusions and inhomogeneities by Eshelby is applied to predict the influence of uniaxial applied stress on the morphology of coherent precipitates during coarsening. The case where the misfit between the matrix and the precipitates is a pure dilatation is considered. The elastic energy is calculated as a function of the particle shape, the applied stress and the ratio between the Young's modulus of the precipitates and that of the matrix. Three shapes are considered: spheres, plates perpendicular to the stress axis and needles aligned with the stress axis. The calculations are used to construct a map which gives the conditions leading to the lowest elastic energy. The results are compared with observations in Ni base alloys which have shown that a stress applied during coarsening can alter the shape of γ particles.
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