考虑表面/界面效应的微纳米非均质材料的边界元法研究

项目名称： 考虑表面/界面效应的微纳米非均质材料的边界元法研究

项目编号： No.11272054

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 董春迎

作者单位： 北京理工大学

项目金额： 82万元

中文摘要： 微纳米结构的表面/界面效应使得微纳米材料的力学性能表现出了一些独特的新特性，如高强度、耐磨损等。这些新特性的研究已经成为了当前多个学科的前沿研究领域。本项目将研究微纳米材料的微纳观结构对力学性能的影响。重点考察纳米裂纹、纳米颗粒等与表面/界面等微结构相互作用下的力学行为以及建立考虑黏着力、表面弹性力等作用下的微纳米接触问题的边界元分析方法。目前，边界元法主要用于无限域中规则形状的纳米非均质问题的研究。但对于非规则形状的纳米非均质以及有限边界的介质，由于各种纳米非均质与表面/界面相互作用的复杂性，相应的边界元法研究还很少。本项目将拓展边界元法，使之用于研究材料中的微纳米非均质之间的相互作用，掌握影响这种材料变形、破坏等性能的微纳观机制，建立和发展提高材料的强度和韧度的力学原理。所建立的方法将在程序中实现。本项目发展的适用于微纳米介质的边界元分析方法将为微纳米介质的力学性能分析打下坚实的基础。

中文关键词： 边界元法；表面/界面效应；非均质材料；微纳米材料；应力分析

英文摘要： Surface/interface effects of micro/nano structures make the mechanical properties of micro/nano materials possess some unique new properties such as high strength,high wear-resistant, etc.The research on these new properties has been the frontier research field in multidisciplinary. This project aims to investigate the effect of micro/nano materials on the mechanical properties of micro/nano structures. The mechanical behaviour of the interaction among the nano-cracks,nano-grains and surfaces/interfaces etc. will especially be studied. The boundary element method (BEM) will be established for micro/nano contact problems with adhesive force and surface elasticity. At present,the BEM has mainly been used to study nano-inhomogeneities with regular shapes in the infinite medium. But the BEM is seldom used to study the nano-inhomogeneities with irregular shapes and the mediums with finite boundaries due to the complexities of the interaction among various nano-inhomogeneities and the surfaces/interfaces. This project will expand the BEM to investigate the interactions among various nano-inhomogeneities, know well the micro/nano mechanisms of the material deformation and failure etc., and establish and develope the mechanical principles of improving the material strength and toughness. The established method will be i

英文关键词： Boundary element methods；surface/interface effects；inhomogeneous materials；micro/nano materials；stress analysis