Evaluation of Driving Force and Mobility for Diffusion Induced Grain Boundary Migration in Ni(Cu) System.

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Abstract

The kinetics of diffusion induced grain boundary migration (DIGM) in the Ni(Cu) system was experimentally studied by Liu et al. using polycrystalline Cu/Ni/Cu diffusion couples annealed at 888 K for various times between 4.8×102 and 9.36×104s. The notation Ni(Cu) means that Cu atoms diffuse into a pure Ni or binary Ni-Cu phase. Their experimental results have been quantitatively analyzed using the energy balance model proposed by Kajihara and Gust. The face-centered-cubic (f.c.c.) solution phase in the binary Ni-Cu system is assumed to be elastically isotropic. The molar Gibbs energy of the f.c.c. phase is expressed by a subregular solution model. The migration rate v of the moving grain boundary is described as a function of the reaction time t by the equation v=k(t/t0)m. Here, t0 is unit time, 1 s. From these relationships, the effective driving force ΔefGm for DIGM has been calculated as a function of the reaction time. Although ΔefGm monotonically decreases with increasing reaction time from the maximum value of 184 J/mol to the minimum value of 8 J/mol, it is still large enough to drive the grain boundary migration against the curvature of the moving grain boundary even at late stages of the reaction. The mobility M of the moving grain boundary also monotonically decreases with increasing reaction time from 2×10-17 m4/J s at 4.8×102s to 2×10-18 m4/J s at 9.36×104s. However, considering the grain boundary energy contribution due to the curvature of the moving grain boundary, M is supposed to be almost constant during the reaction.

Journal

  • ISIJ International

    ISIJ International 38 (1), 86-92, 1998

    The Iron and Steel Institute of Japan

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