期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 164, 期 3-4, 页码 202-212出版社
ELSEVIER
DOI: 10.1016/S0167-2789(02)00377-9
关键词
grain boundary; phase field; premelting
We present a phase field model of solidification which includes the effects of the crystalline orientation in the solid phase. This model describes grain boundaries as well as solid-liquid boundaries within a unified framework. With an appropriate choice of coupling of the phase field variable to the gradient of the crystalline orientation variable in the free energy, we find that high-angle boundaries undergo a premelting transition. As the melting temperature is approached from below, low-angle grain boundaries remain narrow. The width of the liquid layer at high-angle grain boundaries diverges logarithmically. In addition, for some choices of model coupling, there may be a discontinuous jump in the width of the fluid layer as function of temperature. (C) 2002 Elsevier Science B.V. All rights reserved.
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