Hamaker连续介质假设分析  

Analysis of Hamaker continuum mediun hypothesis

作　　者：田文超[1] 贾建援[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《物理学报》2008年第9期5378-5383,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10476019);中国博士后基金(批准号:2005038261)资助的课题~~

摘　　要：针对Hamaker理论在工程实际中存在的问题,从物质结构出发分析晶体结构,发现晶体结构存在空隙,Hamaker连续介质假设不成立.为实现介质的连续性,根据物质结构理论,提出体心立方体和面心立方体的Wigner-Seitz密实拼构模型.通过分析双Wigner-Seitz模型同经典Lennard-Jones势,推导出Hamaker介质修正系数,对Hamaker可加性假设和均质材料假设进行了修正,同时修正了Hamaker提出的用连续方法计算微观物质间相互作用力的表达式,对斥力进行了分析,将微观连续介质的应用范围从单纯引力范围扩大到了斥力范围,从而对目前Hamaker理论在工程实际中存在的问题给予了解释.The three Hamaker hypotheses are the basic principle of the micro-continuum medium. On the basis of the actual crystalline structure, the problem that, the Hamaker idea of continuum medium may not hold is discovered. There are gaps among the crystal structures. In order the micro-object to be a continuum, a close-packed Wigner-Seitz model is put forward by the object structure principle. By analysis of the double Wigner-Seitz model and the classic Lennard-Jones potential, the Hamaker medium amendatory factors for fcc and bcc are derived. The Hamaker additivity hypothesis and homogeneous hypothesis are revised. The micro-continuum medium form including the repulsive force is revised too. The application area of the micro-continuum medium is extended from the attractive force to the repulsive force, which provids an approach to the practical problems in engineering.

关 键 词：Hamaker假设 Wigner-Seitz模型 LENNARD-JONES势 微观连续介质 

分 类 号：O562[理学—原子与分子物理]