Studies in Continuum Mechanics and Materials Science

摘要本研究的目的是在现象学水平上建立材料行为的数学模型。目标是为材料的研究提供一个连续力学框架，为一般理论提供基础，并导致相关问题。提出的研究涉及非相干相变、存在原子扩散时的位错和晶界运动。非线性连续介质力学和分析的日益联盟导致了对材料理解的重大进展;重要的后果是理解缺陷和微观结构的新方法，以及预测宏观性质和微观水平上的详细行为的能力。这个项目是为了继续这一推力。

ABSTRACTThis research is toward developing mathematical models for materialbehavior at a phenomenological level. The goal is a continuum-mechanicalframework for the study of materials that provides a basis for generaltheories and leads to relevant problems. Proposed are studies involvingincoherent phase transitions, dislocations in the presence of atomicdiffusion, and grain-boundary motion.The growing alliance of nonlinear continuum mechanics and analysis hasled to significant advances in the understanding of materials; importantconsequences are new ways of understanding defects and microstructuresand the ability to predict macroscopic properties as well as detailedbehavior at the microscopic level. This project is meant to continuethis thrust.