The growth of precipitates

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Abstract
During the growth of coherent precipitates stresses are generated because the lattice dimensions of the precipitate differ from those of the matrix. Whon the strain energy is large enough it will be relieved by the precipitate losing continuity with the matrix, i.e. becoming non-coherent. It is suggested that this will occur by the formation or annihilation of close-packed planes of atoms by the aggregation of either interstitials or vacancies. This leads to the formation of dislocations at the interface. The exact nature of the process in a given precipitate will depend upon both the shear stresses and hydrostatic stresses acting on the close-packed planes and upon the stacking-fault energy of the precipitate. The problem is given a general treatment for the case of precipitation in a f.c.c. matrix.

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