Studies in Continuum Mechanics and Materials Science

连续介质力学和材料科学研究

• 批准号: 9971046
• 负责人: Morton Gurtin
• 金额: $ 9.25万
• 依托单位: Carnegie-Mellon University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-08-01 至 2004-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9971046&HistoricalAwards=false
• 关键词: Studies; Continuum; Mechanics; Materials; Science

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.

摘要本研究旨在建立现象学层面的物质行为数学模型。目标是为材料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。提出的研究包括非相干相变、原子扩散时的位错和晶界运动。非线性连续介质力学与分析学的日益结合促进了对材料的理解的重大进步；重要的结果是理解缺陷和微观结构的新方法，以及预测宏观性质以及微观层面上详细行为的能力。该项目旨在延续这一推动力。