The morphological stability of continuous intergranular phases: Thermodynamic considerations

被引:25
作者
Carter, W. C. [1 ]
Glaeser, A. M.
机构
[1] Univ Calif Berkeley, Lawrence Berkeley Lab, Dept Mat Sci & Mineral Engn, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Lawrence Berkeley Lab, Mol Res Div, Berkeley, CA 94720 USA
来源
ACTA METALLURGICA | 1987年 / 35卷 / 01期
关键词
Acknowledgements-This work was supported by the Officeo f EnergyR esearchO; ffice of Basic EnergyS ciences; Materials SciencesD ivision of the U.S. Departmento f Energy under Contract No. DE-ACO3-76SFO~98.O ne of the authors( WCC) was supportedi n part by an ARC0 FoundationF ellowship.J . W. Cahn; R; M; Cannon; F; A; Nichols; L. Sadun and J. Salmona re thankedf or helpful discussionsa ndc ommentsF. inally; we wish to acknowledge the enth~iastics upporto f G. 0. Bears;
D O I
10.1016/0001-6160(87)90231-8
中图分类号
TF [冶金工业];
学科分类号
0806 ;
摘要
A thermodynamic analysis of the morphological stability of continuous intergranular phases, incorporating the number of bounding grains n, and dihedral angle psi as variables is presented. For each n, the minimum thermodynamically unstable wavelength of an infinitesimal amplitude perturbation coincides with the Rayleigh result (2 pi R,) for psi = 180 degrees For n = 2, the ratio lambda(min)/2 pi rR, decreases with psi, approaching a limit of (0.7)(1/2) as psi -> 0 degrees. For n >= 3, lambda(min)/2 pi R-c increases with decreasing psi and tends to infinity as psi + pi - (2 pi/n), or equivalently as the interface curvature vanishes. For fixed psi, the stability increases with n. Several applications and implications of the analysis are discussed.
引用
收藏
页码:237 / 245
页数:9
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