## Abstract

We discuss the effect of elastic fields on the late stages of coarsening during a solid-solid phase transformation in a two-phase binary alloy. The treatment is valid for both isotropic and anisotropic media. We hypothesize that there exist regimes in which coarsening proceeds in a self-similar or scale invariant manner. We show that this hypothesis is self-consistent in the two limiting regimes in which elastic effects are either dominated by, or dominate, capillary effects; when these effects are comparable, no scaling solution exists. For nonvanishing misfits and for domain sizes smaller than a certain crossover length, we recover the classical Lifshitz-Slyozov law that the characteristic length scale l(t) of the system evolves in time as t^{ 1 3}. At intermediate values of l, there is a crossover regime in which no single power law is expected. For large values of l, elastically driven coarsening dominates, leading to a different growth law [l(t) ∼ t^{ 1 2}]. Theoretical work of others suggests that elastically driven coarsening occurs when the domains are elastically harder than the matrix. We estimate the value of l corresponding to the crossover region for the case of idotropic materials.

Original language | English (US) |
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Pages (from-to) | 1573-1580 |

Number of pages | 8 |

Journal | Acta Metallurgica Et Materialia |

Volume | 38 |

Issue number | 8 |

DOIs | |

State | Published - Aug 1990 |