Sequences of phase formation in multiphase stressed plates
by
W.C. Johnson and P.H. Leo
in
Metallurgical Transactions, 33A, pp. 1901 - 1911, 2002.
Category: Journal Article
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Abstract:
A Cahn–Hilliard equation is derived and used to explore the effect of compositional strain on the sequence of phase formation in a binary alloy capable of sustaining five distinct, but isostructural, phases in its stress-free state. The system is configured as a thin plate capable of bending and initially has a layered composition profile. The system evolves to reduce the sum of its chemical and elastic energies when strains arise from the nonlinear dependence of the lattice parameter on composition. The compositional strain can stabilize the growth of phases that are nonequilibrium in the absence of stress, give different phase trajectories to various equilibrium states depending on the initial configuration of the system, and can induce a sequence of phase formation in which only one or two intermediate phases grow at any time. These sequences are especially pronounced when deviations from Vegard’s law are realized.
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