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根据金属纤维烧结结点在不同方向的椭圆-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2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,这说明本研究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2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。
According to the ellipse-elliptic structure of sintered metal fiber nodes in different directions, an ellipse-ellipse model is established based on the traditional surface diffusion mathematical model. The level set method is used to solve the model numerically, which realizes the two-dimensional simulation of metal fiber. In addition, a three-dimensional reconstruction method is proposed to describe the complicated three-dimensional geometric structure of sintered metal fibers. The two-dimensional simulation and three-dimensional reconstruction of two metal fibers sintered at an angle of 30 ° are consistent with the experimental results, which shows that the two-dimensional model and the three-dimensional reconstruction method in this study are correct. In addition, numerical simulation results show that the growth rate of sintering neck increases from the obtuse bisector of two metal fibers to the bisector of acute angle.