Collaborative Research: Consistent Treatment of Boundaries and Interfaces in Metamaterials

合作研究：超材料边界和界面的一致处理

• 批准号: 2219087
• 负责人: Alireza Amirkhizi
• 金额: $ 24.99万
• 依托单位: University of Massachusetts Lowell
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-09-01 至 2025-08-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2219087&HistoricalAwards=false
• 关键词: Collaborative; Research; Consistent; Treatment; Boundaries; Collaborative; Research; Consistent; Treatment; Boundaries

This project aim is to study metamaterials to achieve desired behaviors and functions that would be hard, if not impossible, to find in naturally occurring materials. Metamaterials have broad applications in numerous industries and defense that can revolutionize use-cases such as noise mitigation, vibration isolation, energy harvesting, radar and sonar, and sensor development. A fundamental issue with metamaterials research is that the dynamic response of such systems near their boundaries is currently poorly understood, especially in contrast to their response in their interior. This deficiency has slowed the transition of the technology of metamaterials from research to industry. This award supports fundamental research to provide needed knowledge for the understanding of the boundary and interface issues in metamaterials research. It involves several disciplines including acoustic and elastic metamaterials, inverse design and optimization, and materials science. The multi-disciplinary approach will help positively impact engineering education of the future. The team will perform theoretical and computational analysis of transition layers and use inverse design principles to create devices that control propagation of mechanical waves. They will also conduct experiments to verify the models and test the performance of the devices created. The broad technical goal of this grant is to provide a consistent method for the solution of dynamic boundary value problems on finite domains of acoustic and elastic metamaterials. Current approaches either involve micromorphic theories (with a very high number of material parameters) or exact but nonlocal boundary conditions (formulated with Fredholm integral equations). The former is incompatible with much of the machinery of metamaterial device design (such as transformation methods) and the latter is complex enough to make its use at the moment nearly untenable. As a consequence, ideal metamaterial designs, when realized in practice, demonstrate significant and poorly understood performance degradations. Through this grant, the team seeks to solve this issue by 1) utilizing and focusing on local metamaterials and 2) coupling them with transition layers. It is hypothesized that these two ideas will make it tractable to solve a wide range of boundary value problems involving arbitrary finite samples, thus overcoming a critical obstacle in the field. The technological promise of mechanical metamaterials is hinged upon accurate modeling of scattering off such designs, which is significantly affected by the handling of interfaces. This grant seeks to overcome this major obstacle towards robust designs of micro-structured media.This project is jointly funded by Mechanics of Materials & Structures (MOMS) Program and Dynamics, Control and Systems Diagnostics (DCSD) Program.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.

该项目的目的是研究超材料，以实现所需的行为和功能，即使不是不可能，在自然发生的材料中都将很难找到。超材料在许多行业和防御中都有广泛的应用，可以彻底改变用例，例如降解，振动隔离，能量收集，雷达和声纳以及传感器的开发。超材料研究的一个基本问题是，目前对这种系统的动态响应目前尚不清楚，尤其是与它们在内部的反应相比。这种缺陷减慢了超材料从研究到工业的过渡。该奖项支持基础研究，以提供所需的知识，以了解超材料研究中的边界和界面问题。它涉及几个学科，包括声学和弹性超材料，逆设计和优化以及材料科学。多学科的方法将有助于对未来的工程教育产生积极影响。团队将对过渡层进行理论和计算分析，并使用逆设计原理来创建控制机械波的传播的设备。他们还将进行实验以验证模型并测试创建的设备的性能。该赠款的广泛技术目标是为在声学和弹性超材料的有限域中解决动态边界价值问题的解决方案提供一致的方法。当前方法涉及微态理论（具有很高数量的材料参数）或精确但非局部边界条件（用Fredholm积分方程式配方）。前者与超材料设备设计的大部分机械（例如变换方法）不兼容，而后者足够复杂，以至于目前几乎无法使用它。结果，理想的超材料设计在实践中实现时，表现出显着且知之甚少的性能降解。通过这笔赠款，团队试图通过1）利用并专注于本地超材料，以及2）将它们与过渡层耦合。假设这两个想法将使解决涉及任意有限样本的各种边界价值问题可以解决，从而克服了该领域的关键障碍。机械超材料的技术有望在准确地散射此类设计的过程中取决于这种设计，这受到了界面处理的显着影响。该赠款旨在克服这一主要障碍，以实现微型媒体的鲁棒设计。该项目由材料和结构的机制（MOMS）计划和动态，控制与系统诊断（DCSD）计划共同资助。该奖项反映了NSF的法定任务，并通过评估基础的智力效果和宽阔的范围来评估支持，并以评估值得评估。