倾斜共晶生长中各向异性表面张力作用下界面演化与控制的解析研究

共晶生长的全局性理论一直是材料科学与工程中长期研究的前沿课题。其中，倾斜共晶生长机制问题又是近三十年来科学家们重点研究的对象。深入研究制备过程中的倾斜共晶生长规律,将推动材料学科和凝聚态物理的相互发展,为共晶自生复合材料以及其它材料的制备与发展开辟广阔的前景。本项目旨在用解析的方法对倾斜共晶生长动力学过程以及界面稳定性进行深入细致的研究，分析倾斜共晶生长从规则对称共晶生长过程中进行的分岔规律；将以倾斜共晶生长的典型实验系统作为研究对象, 建立数学模型和寻求其一致有效的解析解。研究的核心问题是：在给定生长条件和考虑各向异性表面张力的条件下,确定倾斜共晶的稳态解，以及基态解的稳定性判据和选择性标准；探究各向异性表面张力对共晶生长的影响机制。

Global theories of the eutectic growth remain attractive research problems in material science and engineering. Among them, the mechanism of tilted eutctic growth has ever been the impotant object studied by many scientists for over 30 years, which will promote the mutual development of material science and condensed matter physics. This research will also open up broader prospects for preparing eutectic composites and other materials. This project arms at studying the kinetics of tilted eutectic growth and the interfacial instability by using analytical methods. The bifurcating transition from an untilted eutectic to a tilted one will be demonstrated. Based on some typical experiments of the tilted eutectic growth, the mathematical model will be given and the uniformly valid analytical solution will be obtained.One of the most important problems is determining the stable solution of tilted eutectic under consideration of the fixed experimental growth conditions and anisotropic surface tension. The stability and the selection criterias of the basic solution will be presented. Another one is exploring the effects of anisotropic surface tension on the eutectic growth.