Fixed Domain and Deforming FEM Techniques as Applied to Some Inverse Solidification Problems

这项研究涉及开发和验证 数学模型的反问题的解决方案， 相变铸造工艺。 该方法基于 序列和正则化方法结合隐式 有限元法（FEM）公式化和变形FEM技术。 含变量的相变反问题的一般分析 将开发材料特性。 铸造加工涉及 将考虑糊状区域和复杂的几何形状。 这 分析研究与一个工业附属机构密切相关， 进行相关实验。 凝固过程具有重要的工程意义。 那里 是没有现有的方法计算分析的逆 相变问题。 这项研究认为， 逆技术的相变问题，控制 固化过程和相关的微观结构， 可能 这可能导致重大的基本和实际的 对我们的工业机构做出了重要贡献。

This research addresses the development and verification of mathematical models for the solution of inverse problems associated with phase change casting processes. The methodology is based on sequential and regularization methods in conjunction with an implicit Finite Element Method (FEM) formulation and deforming FEM techniques. A general analysis of inverse phase change problems including variable material properties will be developed. Casting processing involving mushy regions and complex geometries will be considered. This analytical research is closely tied to an industrial affiliate who is performing the associated experiments. Solidification processes are of vital engineering significance. There is no existing methodology for the computational analysis of inverse phase change problems. This research considers the development of inverse techniques for phase change problems, the control of solidification processes and the associated microstructure is possible. This could lead to significant fundamental and practical contributions of importance to our industrial institutions.