微／纳尺度接触问题计算方法研究进展  

ADVANCES ON NUMERICAL METHODS FOR MICRO/NANO-SCALE CONTACT MECHANICS

作　　者：刘更[1] 刘天祥[1] 温诗铸[2] 

机构地区：[1]西北工业大学机电学院,西安710072 [2]清华大学摩擦学国家重点实验室,北京100084

出　　处：《力学进展》2008年第5期521-544,共24页Advances in Mechanics

基　　金：国家自然科学基金(50475146);西北工业大学基础研究基金(NPU-FFR-20060500W018101)资助项目~~

摘　　要：接触问题广泛存在于现实生活的众多领域,近来随着微/纳米技术的不断发展,接触力学在基础理论和研究方法上面临许多新的挑战.本文在摩擦学的范畴内,对近年发展的若干求解微/纳尺度接触问题的计算方法及理论进行了综述.按发展先后及所解决问题的尺度范围划分,主要有3类评估微/纳尺度接触性能的计算方法:(1)连续介质力学方法;(2)分子动力学模拟;(3)多尺度方法.介绍了这3类计算方法的典型理论和主要数学描述,给出了这些方法对解决若干微/纳观接触问题如黏着效应、粗糙表面描述、表面摩擦及润滑、表面热效应、生物接触等的主要应用.最后,探讨了微/纳尺度接触问题计算方法可能的发展方向及应用领域.With the advancements of micro/nano-scale technologies in recent years, contact mechanics is confronted with more and more challenges not only in fundamental theories but also in mathematical methods. A review on recent developments of the numerical methods is given for micro/nano-scale contact mechanics which plays a key role in tribology. According to the development history of different methods and the length scale that the methods can deal with, there are three kinds of numerical methods for solving micro/nano-scale contact problems： （1） continuum methods, （2） molecular dynamics simulations, and （3） multiscale methods. The classical theories and major procedures of these methods are presented, together with their applications to certain micro/nano-scale contact problems, such as adhesion, contacts of rough surface, surface friction and lubrication, thermal effect, bio-contacts and others. Finally, future development of the numerical methods for micro/nano-scale contact mechanics and potential fields of applications are outlined.

关 键 词：微/纳尺度 接触 计算方法 连续介质 分子动力学 多尺度 

分 类 号：O33[理学—一般力学与力学基础]