中文摘要：

自20世纪90年代初相场法被引入金属枝晶生长以来,一直是人们研究的热点.在分子化合和晶体生长过程中,每一个分子、原子团,以及晶粒都包含着内势能.内势能又可以分为内压强-势能与体积-势能两种.内压强-势能向体积-势能的转换和恢复影响着矿物质的结晶和金属材料的枝晶生长,这是一个一直被人们忽略了的问题.本文论述了内势能及内势能熵在相变过程中的转换和计算方法及内势能熵方程的特性,并讨论了内势能熵在相场方程中的地位和作用.

英文摘要：

Since its introduction to metal dendrite growth in the early 1990 s,the phase field method has been a research hotpot. In molecular compounds and the grain growth process,each molecule,atom,and grain contains internal potential energy. The internal potential energy can be divided into internal pressure potential energy and potential energy of volume. The conversion from the pressure potential energy to volume potential energy and its recovery have impact on mineral crystallization and metal dendrite growth. This is a problem that has been neglected. This paper discusses the conversion of internal potential energy and internal potential energy entropy in the process of phase transformation and calculation method,the characteristics of internal potential energy entropy equation,and the role of internal potential energy entropy in the phase field equation.