型内熔化合金元素扩散的浓度方程及仿真

Study on the Concentration Equation and Simulation of Alloy Elements in the Melting and Diffusion Process

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。

Based on the Fick＇s second law,the concentration equation was deduced and its fundamental solution was obtained by using the integral transformation method.Moreover,the diffusion process of vanadium in liquid metal was simulated by considering the experimental factors of mold size,alloy-rod size and diffusion coefficient and etc.The results revealed that vanadium was gradual distributing in the material,which provided theoretical foundation for the melting and diffusion process in preparing wear resistant material.