CAREER: Exploiting Time Dependent Behavior and Structure in Developing Programmable Materials

该学院早期职业发展（CAREER）资助支持新一代可编程材料的开发，这些材料可以真实的时间控制和监测振动和冲击事件。这项技术有可能影响各种应用，从改善传感和监测基础设施到革新新兴的智能包装领域。作为示例，这些材料允许系统的能量吸收能力的原位修改，系统的条件可以由于老化和/或由于温度变化而随时间变化，并且因此，它们可以降低更换减振设备的成本。这项CAREER资助将引入新的机制来编程这些材料的刚度和时间依赖性机械和惯性行为。教育推广活动将通过提供基于项目的体验活动，让学生参与并促进对数学在现实世界中的应用的理解，解决边缘化学生面临的系统性障碍，这些学生往往被安排在不太严格的数学课程中。 这些努力也旨在向PI的研究团队展示STEM推广的重要性，以增加学术界的多样性和包容性。这个CAREER项目的研究目标是研究物理学，并建立数学基础，控制异质机械超材料中拓扑结构和非线性与时间相关的材料行为之间的相互作用。应用范围从振动抑制和减震到具有自感知能力的超材料的开发。这项研究将填补一个基本的知识空白，系统的技术和理论，概念化的机械超材料。该项目的工作将集中在具有异质性的超材料上，这种异质性源于：1）弹性体基质拓扑结构中的内含物，称为“数字元件”，以及2）其行为主要是粘弹性的材料与其行为主要是弹性和/或超弹性的材料的组合。 这些数字元件的选择性放置和/或移除允许对单个主结构进行系统编程，以在用作振动系统中的部件时消除导致动态响应范围的大量惯性和弹性行为。我们假设，复合粘弹性和超弹性材料将允许主机结构具有定制的新的应变相关的响应。这些活动将发展基本的理解，并建立所需的数学框架，利用这些现象的动力系统理论沿着与分析和数值建模，材料表征和实验测试。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This Faculty Early Career Development (CAREER) grant supports the development of a new generation of programmable materials that can control and monitor vibrations and shock events in real time. This technology has the potential to influence various applications ranging from improving the sensing and monitoring infrastructure to revolutionizing the emerging field of smart packaging. As an example, these materials allow for in-situ modification of the energy absorbing capabilities of systems whose conditions can change over time due to aging and/or due to changing temperatures, and, as such, they can reduce the cost of replacing vibration reduction equipment. This CAREER grant will introduce new mechanisms to program the stiffness and time-dependent mechanical and inertial behavior of these materials. The educational outreach will address systemic barriers placed upon marginalized students, who are often placed in less rigorous mathematics courses, by offering project-based experiential activities to engage students and foster an understanding of the applications of mathematics in a real-world context. These efforts also aim to demonstrates to the PI's research team the importance of STEM outreach with the goal of increasing diversity and inclusion in academia.The research goal of this CAREER project is to investigate the physics, and establish a mathematical foundation, that governs the interplay between topology and nonlinear and time-dependent material behavior in heterogeneous mechanical metamaterials. Applications range from vibration suppression and shock absorption to the development of metamaterials with self-sensing capabilities. This research will fill a fundamental knowledge gap in systematic techniques and theories that conceptualize mechanical metamaterials. The project work will focus on metamaterials with heterogeneity that arises from: 1) an inclusion in the topology of an elastomeric matrix, coined a ``digital element", and 2) the combination of materials whose behavior is primarily viscoelastic with a material whose behavior is primarily elastic and/or hyperelastic. The selective placement /and or removal of these digital elements allows for the systematic programming of a single host structure to exemplify a host of inertial and elastic behaviors leading to a range of dynamic responses when used as a component in a vibratory system. We hypothesize that the composite viscoelastic and hyperelastic materials will allow the host structure to have tailored novel strain dependent responses. The activities will develop the fundamental understanding and establish the mathematical framework needed to exploit these phenomena using the theory of dynamical systems along with analytical and numerical modeling, material characterization, and experimental testing. The resulting framework will then be used to improve the development of metamaterials with self-sensing capabilities.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.