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利用Fick第二定律,研究型内熔化扩散过程中合金元素的浓度分布方程,应用积分变换方法求解微分方程,得到了合金元素扩散方程的基本解;并在此基础上针对实验过程中铸型尺寸、合金棒尺寸、扩散系数等因素,进行了液态金属中钒原子扩散过程的模拟仿真,分析了不同初始条件下的扩散分布。结果表明,钒元素扩散后在材料内呈连续梯度分布,为利用型内熔化方法制备外硬内韧耐磨材料提供了理论依据。
The Fick’s second law was used to study the concentration distribution equation of alloying elements during the melt diffusion process. The integral transformation method was used to solve the differential equation. The basic solution of the alloy element diffusion equation was obtained. Based on this, , The size of the alloy rod, the diffusion coefficient and other factors, the diffusion process of vanadium atoms in liquid metal was simulated and the diffusion distribution under different initial conditions was analyzed. The results show that the diffusion of vanadium elements in the material showed a continuous gradient distribution, which provided a theoretical basis for the preparation of external hard wear-resistant materials with internal melting method.