ADVANCES ON NUMERICAL METHODS FOR MICRO/NANO-SCALE CONTACT MECHANICS
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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.Abstract:With the advancementsof micro/nano-scale technologies in recent years, contactmechanics is confronted with more and more challenges not only infundamental theories but also in mathematical methods. A review onrecent developments of the numerical methods is given formicro/nano-scale contact mechanics which plays a key role intribology. According to the development history of differentmethods and the length scale that the methods can deal with, thereare three kinds of numerical methods for solving micro/nano-scalecontact problems: (1) continuum methods, (2) molecular dynamicssimulations, and (3) multiscale methods. The classical theoriesand major procedures of these methods are presented, together withtheir applications to certain micro/nano-scale contact problems,such as adhesion, contacts of rough surface, surface friction andlubrication, thermal effect, bio-contacts and others. Finally,future development of the numerical methods for micro/nano-scalecontact mechanics and potential fields of applications areoutlined.
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Key words:
- micro/nano-scale/
- contact/
- numerical methods/
- continuum/
- molecular dynamics/
- multiscale
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