基于表面扩散机制金属纤维烧结的二维模型和三维重构

2D model and 3D reconstitution of sintering metal fibers by surface diffusion

摘要:

根据金属纤维烧结结点在不同方向是椭圆-椭圆结构,基于传统的表面扩散数学模型,建立了椭圆-椭圆模型。用水平集方法对模型进行数值求解,实现了金属纤维的二维模拟。此外,提出了三维重构方法描述烧结金属纤维复杂的三维几何结构。夹角为30°的两根金属纤维烧结的二维模拟和三维重构结果与实验结果相符,这说明本文的二维模型和三维重构方法是正确的。另外,数值模拟结果表明：从两根金属纤维的钝角平分线方向到锐角平分线方向,烧结颈的生长速率增大。

Abstract:

According to the sections of sintering crunode of two metal fibers, which are oval-oval geometry structure in different directions, the oval-oval model is developed based on the traditional surface diffusion mathematical model. This model is numerically solved by level set method to achieve the 2D simulations of two sintering metal fibers. Moreover, the 3D reconstitution method is proposed to depict the complex 3D geometrical structure of two sintering metal fibers. The 2D simulations and 3D reconstitution results of two metal fibers with the fiber angle 30° well agree with the experimental ones, which imply that the 2D model and 3D reconstitution method are correct. In addition, the numerical simulation results show that the growth rate of sintering neck along the directions taken from the bisector of obtuse angle to the bisector of acute angle is increased.