引入三个形状因子和一个体积参数之后，对二维轴对称几何形状下的内部和外部接触熔化过程进行了统一的数学分析，得到接触熔化速率的一般表达式并分别与六种典型几何形状下现有的分析结果相对比，对该表达式的正确性进行了验证。此外，对其局限性进行了简要讨论。 After introducing three shape factors and one volumetric parameter, a unified mathematical analysis of the internal and external contact melting processes under the two-dimensional axisymmetric geometry was performed. The general expressions of the contact melting rates were obtained and compared with the six typical geometric shapes Compared with the existing analysis results, the correctness of the expression is verified. In addition, a brief discussion of its limitations has taken place.