CAREER: Transformation Elastodynamics and its Application to Wave Control in Solids

职业：变换弹性动力学及其在固体波控制中的应用

• 批准号: 1554033
• 负责人: Ankit Srivastava
• 金额: $ 50万
• 依托单位: Illinois Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-02-01 至 2022-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1554033&HistoricalAwards=false
• 关键词: CAREER; Transformation; Elastodynamics; its; Application

This Faculty Early Career Development (CAREER) project supports fundamental research needed to realize mechanisms of control of waves in solids. Information and energy in the world travel from one point to another in the form of waves. Examples include electromagnetic waves such as light and radio waves, sound waves in air and water, and elastic waves in solids. The ability to control the flow of these waves, therefore, indirectly leads to the ability to control the information and energy which these waves represent. Strong material design mechanisms have recently been developed to control the flow of electromagnetic and acoustic waves. However, controlling waves in solids has proven to be more difficult, and resolving associated challenges is the main focus of this project. This research will have beneficial impact on several U.S. economic, security, and energy interests. It will lead to improvements in the design of vibration sensors, transducers, and imaging devices with applications to various industries such as aerospace, automobile, civil infrastructure. It will lead to novel earthquake mitigation techniques for civil structures and vibration mitigation techniques for sensitive industry equipment. Through the various outreach efforts proposed here, this research will help in broadening the participation of the general public in the highly multi-disciplinary subject of waves and their control.Transformation methods have emerged as effective tools for the control of electromagnetic and acoustic waves. However, analogous successes have not been achieved for elastodynamics (waves in solids). This research aims to fill the knowledge gap by investigating a coupled constitutive form (Willis form) as the basis upon which the principles and applications of transformation elastodynamics can be built. Furthermore, this research aims to provide fundamental limits and bounds on the performance of any transformation device through the application of causality principle and scattering theory. The PI will conduct theoretical studies into elastodynamic homogenization, performance bounds of transformation-elastodynamic devices and will assess performance gains through the application of classes of Euclidean and non-Euclidean transformations. Level-set based parallel computational algorithms will be also developed for inverse design of transformation-based devices. Three-dimensional printed models of transformation-elastodynamic devices, at both the unit cell and the device levels, will be fabricated and tested through ultrasonic wave measurements for experimental verification.

该教师早期职业发展（职业）项目支持实现固体中波浪控制机制所需的基础研究。世界上的信息和能量以波浪形式从一个点到另一点。例子包括电磁波，例如光和无线电波，空气和水中的声波以及固体中的弹性波。因此，控制这些波的流动的能力间接导致控制这些波代表的信息和能量的能力。最近已经开发出强大的材料设计机制来控制电磁波和声波的流动。但是，证明固体中的波浪更加困难，解决相关的挑战是该项目的主要重点。这项研究将对美国的几种经济，安全和能源利益产生有益的影响。它将改善振动传感器，传感器和成像设备的设计，并应用于航空航天，汽车，民用基础设施等各个行业。它将导致针对敏感行业设备的民用结构和缓解振动技术的新型缓解技术。通过此处提出的各种外展工作，这项研究将有助于扩大公众在高度多学科的波浪中的参与及其控制。转化方法已成为控制电磁波和声波的有效工具。然而，对于弹性动力学（固体中的波），尚未取得类似的成功。这项研究旨在通过研究耦合的本构形式（Willis形式）来填补知识差距，这是可以建立转换弹性动力学的原理和应用的基础。此外，这项研究旨在通过应用因果原理和散射理论来为任何转换设备的性能提供基本限制和界限。 PI将对弹性动力均质化，转化型仿生力学设备的性能界限进行理论研究，并通过应用欧几里得和非欧几里得转化的类别来评估性能的提高。还将开发基于级别集合的平行计算算法，用于基于转换的设备的倒数设计。在单位电池和设备水平上的转换式仿光动力设备的三维印刷模型将通过超声波测量进行制造和测试，以进行实验验证。

项目成果

On the emergence of negative effective density and modulus in 2-phase phononic crystals

• DOI: 10.1016/j.jmps.2019.02.016
• 发表时间: 2018-11
• 期刊: Journal of the Mechanics and Physics of Solids
• 影响因子: 5.3
• 作者: A. Mokhtari;Yan Lu;A. Srivastava

On the properties of phononic eigenvalue problems

• DOI: 10.1016/j.jmps.2019.07.005
• 发表时间: 2019-02
• 期刊: Journal of the Mechanics and Physics of Solids
• 影响因子: 5.3
• 作者: A. Mokhtari;A. Srivastava