Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1940 · 246 citations · 10 references
Natural SciencesMaterials EngineeringMaterials ScienceMechanical Behavior Of MaterialsMetallic MaterialsMetallurgyAlloysDiffusion In SolidsMetalsMicrostructure EvolutionNucleationDiffusion In AlloysDiffusion In MetalsPhase FormationPrecipitate MorphologyStrain EnergyStrain Energy AccumulationStrain Energy DensitySurface Effects
Abstract If the process of diffusion in metals results simply in the interchange of pairs of atoms large strains must be set up when a new phase precipitates in an alloy. The strain energy involved is calculated for particles of precipitate of various shapes, and is found to be least if the precipitate forms thin plates. The shape of the particle actually formed is influenced by this energy, by the degree of supersaturation of the solid solution, and by surface effects; the calculated shape is shown to agree reasonably well with that observed experimentally.
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R. Peierls · Proceedings of the Physical Society · 1940 · 1.5K citations
The Mathematical Theory of Elasticity.
Carl A. Garabedian, A. E. H. Love · American Mathematical Monthly · 1928 · 1.2K citations
The structure of a cold-worked metal
W. L. Bragg · Proceedings of the Physical Society · 1940 · 137 citations