材料微结构演化的相场模拟

发布时间：2018-11-20 11:43

【摘要】：材料的各种宏观性能与其内部的微观结构密切相关,如何通过控制材料微结构的分布来提高其性能指标一直是工程界与学术界广泛关注的课题.由于场变量在界面的突变,传统的基于局部理论的突变界面模型在描述材料微结构演化方面存在一定的困难.基于非局部理论的相场法采用扩散界面的概念来描述界面,避开了理论上描述突变界面的困难,在模拟材料内部任意的组织形态和复杂的微结构演化方面具有独特的优点.论文首先介绍相场法的热力学理论基础,包括自由移动边界问题、扩散界面模型、非局部能量泛函、相场动力学方程及其常用求解方法.然后重点介绍铁电、铁磁和多铁性材料微结构演化的相场模拟,同时简要介绍相场法在软物质和锂离子电池材料微结构演化模拟中的应用,最后给出总结和展望.
[Abstract]:The macroscopical properties of materials are closely related to their internal microstructure. How to control the distribution of material microstructure to improve its performance index has been a widespread concern of engineering and academic circles. Because of the mutation of field variables at the interface, the traditional catastrophe interface model based on local theory has some difficulties in describing the evolution of material microstructure. The phase field method based on the nonlocal theory uses the concept of diffusion interface to describe the interface, which avoids the difficulty of describing the abrupt interface theoretically, and has unique advantages in simulating arbitrary microstructure and complex microstructure evolution in materials. This paper first introduces the thermodynamic theory of phase field method, including free moving boundary problem, diffusion interface model, nonlocal energy functional, phase field dynamic equation and its common solution. Then the phase field simulation of microstructure evolution of ferroelectric ferromagnetic and ferromagnetic materials and the application of phase field method in the simulation of microstructure evolution of soft matter and lithium ion battery materials are introduced briefly. Finally a summary and prospect are given.
【作者单位】：浙江大学工程力学系;
【分类号】：TB303

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