Mathematical Sciences: Dynamical Modeling and Estimation ofMechanical Behavior of Elastomer Based Smart Materials

数学科学：基于弹性体的智能材料的机械行为的动力学建模和估计

• 批准号: 9508617
• 负责人: H. Thomas Banks
• 金额: $ 7.1万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-08-15 至 1997-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9508617&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamical; Modeling; Estimation

9508617 Banks The University-Industry Cooperative Research Programs in the Mathematical Sciences are programs designed to establish a mechanism for exchange of mathematical scientists between academia and industry at different stages of their careers. These programs will strengthen the links between industry and academia and identify and encourage new avenues of research in the mathematical sciences. The University-Industry Postdoctoral Research Fellowships provide two years of support for recent recipients of doctoral degrees in the mathematical sciences. These awards are a means of contributing to the future vitality of the scientific effort of the nation. The postdoctoral fellow will work closely with scientific advisors from both academia and industry. In collaboration with polymer scientists at the Lord Corporation, the postdoctoral fellow will use material independent force and moment balance derivations combined with a material dependent finite strain elasticity theory to develop and validate nonlinear dynamic models for rubber based filled elastomers undergoing large deformations. The resulting nonlinear partial differential equation models, to be used in design of controllable or "smart material" elastomers, will be modified and validated using specially designed experiments performed in Lord Corporation labs along with inverse problem algorithms that are developed. These algorithms and associated computational packages will be developed in the context of a mathematical framework for wellposedness and approximation that will be developed by the applied mathematicians in this multidisciplinary team.

9508617银行数学科学专业的产学合作研究项目旨在为学术界和产业界在其职业生涯的不同阶段建立一种交流数学科学家的机制。这些计划将加强产业界和学术界之间的联系，并确定和鼓励数学科学研究的新途径。大学-工业博士后研究奖学金为最近获得数学科学博士学位的人提供两年的支持。这些奖项是为国家科学努力的未来活力做出贡献的一种手段。这位博士后研究员将与学术界和工业界的科学顾问密切合作。这位博士后研究员将与Lord Corporation的聚合物科学家合作，使用与材料无关的力和力矩平衡导数，结合材料相关的有限应变弹性理论，开发和验证橡胶填充弹性体经历大变形的非线性动力学模型。用于可控或“智能材料”弹性体设计的非线性偏微分方程模型将通过在Lord Corporation实验室进行的特殊设计的实验以及开发的反问题算法进行修改和验证。这些算法和相关的计算程序包将在健康和近似的数学框架的背景下开发，该框架将由这个多学科团队中的应用数学家开发。