Modeling and simulation of multiferroic nanostructures with surface effects

本项目致力于多铁性或磁电弹性纳米结构的静态和动态分析，其中多个有序参数的共存导致了新的物理现象，从而为设计新型多功能结构和器件提供了可能性。特别是多铁性结构在纳米尺度上的整体力学行为可能与其宏观结构完全不同，因为表面效应在这些结构和器件中起着至关重要的作用，不能被忽略。因此，传统的或经典的无表面效应的连续介质理论可能会失效。本项目的主要目标是系统地发展考虑表面效应的多铁性纳米结构的一维和二维简化结构理论，并将通过基于边界积分方程或边界元方法的高效和准确的数值模拟工具进行验证。该项目的主要目标是更好地理解和深入了解多铁性纳米结构的力学行为及其磁电效应，这些都对多铁性纳米结构的设计非常重要。简化的结构理论和数值模拟工具可以方便地应用于传感器和能量采集器等创新工程应用中，获得优化的多功能高性能多铁性器件。

This project is focused on the static and dynamic analyses of multiferroic or magnetoelecroelasticnanostructures, in which the coexistence of several order parameters leads to novel physical phenomena and therefore offers the possibilities for design novel multi-functional structures and devices. In particular, the overall mechanical behavior of multiferroic structures at the nanoscale could be totally different from that of their macroscopic counterpart, since surface effects in these structures and devices with a high surface-to-volume ratio play a crucial role and cannot be neglected. Hence, the traditional or classical continuum theories without surface effects may become invalid. The main objectives of the present project are to develop systematically onedimensional and two-dimensional simplified structural theories for multiferroic nanostructures incorporating surface effects, which will be verified by an efficient and accurate numerical simulation tool based on the boundary integral equation or boundary element method. The primary goal of the project is to gain a better understanding and a deeper insight into the mechanical behavior of multiferroic nanostructures and their magnetoelectric effects, all being very important for the design of multiferroic nanostructures. The simplified structural theories and the numerical simulation tool can be conveniently applied to obtain optimized multi-functional multiferroic devices with high performances for innovative engineering applications such as sensors and energy harvesters.