Transitions and Defects in Ordered Materials

订购材料的转变和缺陷

• 批准号: 9111572
• 负责人: Mitchell Luskin
• 金额: $ 67.5万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-10-01 至 1996-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9111572&HistoricalAwards=false
• 关键词: Transitions; Defects; Ordered; Materials

Luskin, James and Kinderlehrer will do research in mathematics and computations with reference to microstructures in crystals, dynamics of phase transitions, molecular forces and surface energy magnetostriction, and liquid crystal fluid flow. The growing alliance of nonlinear theory and analysis with scientific computation, since the early 1980's, has led to significant advances in our understanding of modern materials like shape-memory alloys, ferroelectrics, and highly magnetostrictive alloys. Chief among these are new ways of understanding defects and microstructure with emphasis on how they arise and deform. A consequence is the ability to predict detailed behavior at the microscopic level as will as macroscopic properties. This may provide a strategy for designing materials or devices to optimize desired electromechanical effects.

Luskin、James 和 Kinderlehrer 将参考晶体微观结构、相变动力学、分子力和表面能磁致伸缩以及液晶流体流动进行数学和计算研究。 自 20 世纪 80 年代初以来，非线性理论和分析与科学计算的不断结合，使我们对形状记忆合金、铁电体和高磁致伸缩合金等现代材料的理解取得了重大进展。 其中最主要的是理解缺陷和微观结构的新方法，重点是它们如何产生和变形。 其结果是能够预测微观层面的详细行为以及宏观特性。 这可以提供设计材料或设备以优化所需机电效应的策略。