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

“材料数学”课程为数学科学领域的本科生、研究生和博士后提供了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组织：多功能材料、包括碳纳米管在内的聚合物和复合材料、矫形生物材料、薄材料层的动力学以及激光焊接的材料行为。在每个主题中，研究的重点是基本模型的开发、数学解、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。培训部分旨在帮助学生和博士后为跨学科研究数学家的不同角色做好准备。这包括培训模块，向参与者介绍课程中通常不涉及的研究和职业主题，有针对性的与研究领域和国家研究议程相关的主题的课程，以及参加暑期实习和全国会议。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、矫形生物材料、薄材料层的动力学，以及激光焊接的材料行为。培训部分包括一系列协调一致的活动，旨在使学生和博士后为跨学科研究数学家的不同角色做好准备，其中包括向参与者介绍传统课程中没有涉及的研究和职业主题的培训模块，与五个研究主题和国家需要领域有关的新课程，以及参加跨多个学科的暑期实习和国家会议。该项目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、工程学、物理学和先进技术之间的学术和非学术职业。

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.