EMSW21-RTG Mathematics of Materials: Model Development, Analysis, Simulation and Control

EMSW21-RTG 材料数学：模型开发、分析、仿真和控制

• 批准号: 0636590
• 负责人: Ralph Smith
• 金额: $ 189.99万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-07-01 至 2013-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0636590&HistoricalAwards=false
• 关键词: EMSW21; RTG; Mathematics; Materials; Model

The program "Mathematics of Materials" provides a wide range of interdisciplinary research and training opportunities for undergraduates, graduate students, and postdocs in the mathematical sciences. The research activities are organized around five topics that play a fundamental role in emerging technologies: multifunctional materials, polymers and composites including carbon nanotubes, orthopaedic biomaterials, dynamics of thin material layers, and material behavior of laser welding. Within each topic, investigations focus on fundamental model development, mathematical solution, numerical simulation, and control design. Each project involves substantial collaboration with experimental colleagues that provides interdisciplinary training opportunities to mathematics students and postdocs. The training component is designed to prepare students and postdocs for the varied roles of interdisciplinary research mathematicians. This includes training modules that introduce participants to research and career topics not typically covered in coursework, targeted courses on topics pertaining to research areas and national research agendas, and participation in summer internships and national conferences."Mathematics of Materials" is an interdisciplinary research training group program designed for undergraduates, graduate students and postdocs in the mathematical sciences. The research activities are organized around five topics that play a fundamental role in emergingtechnologies: multifunctional materials, polymers and composites including carbon nanotubes, orthopaedic biomaterials, dynamics of thin material layers, and material behavior of laser welding. The training component involves a coordinated set of activities designed to prepare students and postdocs for the varied roles of interdisciplinary research mathematicians.This includes training modules that introduce participants to research and career topics not covered in traditional coursework, new courses pertaining to the five research topics and areas of national need, and participation in summer internships and national conferences spanning multiple disciplines. The objective of the program is to attract and train highly qualified students and postdocs for academic and nonacademic careers at the interface between applied mathematics, materials science, engineering, physics, and advanced technology.

“材料数学”项目为数学科学领域的本科生、研究生和博士后提供广泛的跨学科研究和培训机会。 研究活动围绕在新兴技术中发挥基础作用的五个主题进行组织：多功能材料，聚合物和复合材料，包括碳纳米管，骨科生物材料，薄材料层的动力学和激光焊接的材料行为。 在每个主题中，调查集中在基本模型开发，数学解决方案，数值模拟和控制设计。 每个项目都涉及与实验同事的大量合作，为数学学生和博士后提供跨学科的培训机会。 培训部分的目的是准备学生和博士后的跨学科研究数学家的各种角色。 这包括向参与者介绍课程中通常不涉及的研究和职业主题的培训模块，有关研究领域和国家研究议程主题的有针对性的课程，以及参加暑期实习和国家会议。“材料数学”是一个跨学科的研究培训小组计划，专为本科生，研究生和博士后在数学科学。 研究活动围绕在新兴技术中发挥基础作用的五个主题组织：多功能材料，聚合物和复合材料，包括碳纳米管，骨科生物材料，薄材料层的动力学和激光焊接的材料行为。 培训部分涉及一套协调的活动，旨在培养学生和博士后跨学科研究数学家的各种角色，其中包括培训模块，向参与者介绍传统课程中未涵盖的研究和职业主题，与五个研究主题和国家需求领域相关的新课程，以及参加暑期实习和跨学科的全国会议。 该计划的目标是吸引和培养高素质的学生和博士后，从事应用数学，材料科学，工程，物理和先进技术之间的学术和非学术职业。