Coupled Elastic Surface Waves in Curved Structures, US-Pakistan Cooperative Research

描述：该项目支持美国科学家John Harris博士和巴基斯坦伊斯兰堡Quaid-i-Azam大学数学系Saleem Asghar博士的合作项目。这项研究的目的是用数学模型研究表面波的传播，表面波在弯曲的弹性表面上滑动，在那里它紧紧地附着在表面上，并衰减到内部。我们将研究波从一个表面到另一个表面的耦合。此外。我们将研究这样的波在撞击破裂内部表面的小裂缝或遇到沿该表面的一小块粗糙时的散射。范围：该项目允许两位能力互补的知名科学家合作开展重要的科学工作；它有助于了解面波的特性，这些特性对于检测许多弯曲结构(如管道)中的问题或潜在问题非常重要。这位巴基斯坦科学家在该国最重要的研究生教育和研究大学之一工作。他在流体平板的声辐射方面拥有专业知识，而这位美国科学家则在高频表面波传播领域拥有专业知识。哈里斯博士的一名美国研究生预计将参与这项工作。该项目符合国际方案司的一些重要目标。

Description: This project supports a cooperative project by a US scientist, Dr. John Harris, from the Department of Theoretical and Applied Mechanics, at the University of Illinois, Urbana, and Dr. Saleem Asghar, Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan. The research aims at investigating, with mathematical models, the propagation of a surface wave, that glides over a curved elastic surface, where it clings closely to the surface and decays into the interior. The coupling of waves from one surface to another will be studied. In addition. scattering of such waves as they strike a small crack breaking an interior surface or encounter a patch of roughness along that surface will be studied. Scope: This project allows cooperation of two well known scientists whose capabilities complement each other to do important scientific work; and it helps understand properties of surface waves that are important in detecting problems or potential problems in many curved structures such as pipelines. The Pakistani scientist is in one of that country's most important universities for graduate education and research. He has expertise in the radiation of sound from fluid-loaded plates, while the US scientist has expertise in the area of high-frequency surface wave propagation. A US graduate student of Dr. Harris is expected to participate in this work. This project meets a number of important objectives of the Division of International Programs.