中文摘要：

根据两条相交金属纤维在交接处不同方向的截面是不同的椭圆-椭圆结构,基于表面扩散机制,在任意方向截面上建立金属纤维烧结结点的椭圆-椭圆模型,用水平集方法对所建模型进行数值求解,实现对任意方向截面上金属纤维烧结结点生长过程的二维数值模拟。将不同方向截面上的数值模拟结果进行重构,给出了金属纤维烧结结点生长过程的三维数值模拟方法。对夹角为60°的两条金属纤维烧结结点的生长过程进行了三维数值模拟,分析了不同方向截面上烧结颈半径的生长速度。数值结果表明,越靠近纤维锐角平分线方向烧结颈半径生长速度越快。数值模拟结果表明,金属纤维在各个截面上的初始局部几何结构对烧结颈的形成起到关键作用。

英文摘要：

Based on the section of the junction of two metal fibers which is different oval-oval geometry structure in different directions, the oval-oval model for the sintering crunode of two metal fibers was established by surface diffusion in one section. The model was numerically solved by a level set method to achieve the numerical simulation of the growth process of the sintering crunode in different sections. The three dimensional numerical simulation of the growth process of the sintering crunode was achieved by reconstituting the numerical simulation results in these sections. For the two metal fibers with the fiber angle 60°, the three-dimensional numerical simulation of the growth process of the sintering crunode was implemented, and the growth rates of sintering neck were discussed in different sections. The numerical simulation results show that the closer to the bisector of acute angle the direction is, the faster the growth rate of sintering neck is. The initial local geometrical structure in each section plays a key role in the sintering neck formation.