Mathematical Models of Materials with Multi-Stability at the Micro-Level

微观层面多稳定性材料的数学模型

• 批准号: 0102841
• 负责人: Roger Fosdick
• 金额: $ 15.81万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-08-15 至 2005-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0102841&HistoricalAwards=false
• 关键词: Mathematical; Models; Materials; Multi; Stability

DMS Award AbstractAward #: 0102841PI: Truskinovsky, Lev Institution: University of Minnesota, Twin CitiesProgram: Applied MathematicsProgram Manager: Catherine MavriplisTitle: Mathematical Models of Materials with Multi-Stability at the Micro-LevelWe propose to study rate sensitivity of the prototypical discrete analogs of active materials. At the micro-level, active materials can be viewed as complex assemblages of multi-stable, molecular size devices; large deformations are then due to the switching between different locally stable configurations. At the macro-level the switching leads to the energy flux into smaller scales and associated dissipation. In this project we focus on optimization of energy transduction between the scales in multi-stable materials and specifically consider behavior of these systems in the situations where fluctuations are relevant and the size effect can not be neglected.In this research project we study the dynamic behavior of active materials which include shape-memory, magnetostrictive and ferromagnetic alloys, transformation-toughened ceramics and materials, exhibiting controllable distributed micro-damage. Biological examples of active materials are provided by muscles and other distributed protein systems. The goal of the project is to understand the mechanics of dissipation and active force generation in these materials which may open ways to an actual construction of the artificial molecular size motors. Specifically we are interested in developing prototypes for ultra-small objects, which can carry load and be self propelled.Date: J

DMS 奖摘要奖项编号：0102841PI：Truskinovsky，Lev 机构：明尼苏达大学双子城项目：应用数学项目经理：Catherine Mavriplis 标题：微观层面多稳定性材料的数学模型我们建议研究活性材料原型离散类似物的速率敏感性。在微观层面上，活性材料可以被视为多稳定、分子尺寸装置的复杂组合。大的变形是由于不同局部稳定构型之间的切换造成的。在宏观层面上，切换导致能量通量进入更小的尺度并产生相关的耗散。在这个项目中，我们重点关注多稳态材料尺度之间能量转换的优化，并特别考虑这些系统在波动相关且尺寸效应不可忽视的情况下的行为。在这个研究项目中，我们研究活性材料的动态行为，包括形状记忆、磁致伸缩和铁磁合金、相变增韧陶瓷和材料，表现出可控的分布式微损伤。活性物质的生物学例子由肌肉和其他分布式蛋白质系统提供。 该项目的目标是了解这些材料中的耗散和主动力产生的机制，这可能为人造分子尺寸电机的实际构造开辟道路。具体来说，我们有兴趣开发超小型物体的原型，这些物体可以承载负载并可以自行推进。日期：J