球体-平面黏附模型分析  

Adhesion Between Sphere and Plane

作　　者：樊康旗[1] 霍海东[1] 王波[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：《西安交通大学学报》2011年第11期106-111,共6页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(10476019);中央高校基本科研业务费资助项目(JY10000904018)

摘　　要：为确定Bradley黏附模型与Hamaker假设黏附模型之间的关系和差异,运用Hamaker假设和原子间的Lennard-Jones势能推导出了两平面间的相互作用力,通过与平面间的Lennard-Jones势能进行对比分析,得到了原子势参数与平面势参数间的关系式.根据此关系式将Bradley模型转化为由Hamaker常数描述的黏附模型,并根据Hamaker常数的定义式将Bradley模型最终转化为由原子势参数和Hamaker常数描述的黏附模型.理论分析与仿真结果表明,基于Hamaker假设的黏附模型与Bradley黏附模型完全一致,证实了原子势参数与平面势参数间关系式的正确性,为采用连续介质力学方法研究微观离散世界的黏附问题提供了理论基础.To determine the relationship between the Bradley model and the Hamaker hypotheses-based adhesion model,the Hamaker hypotheses and interatomic Lennard-Jones potential are employed to obtain the interaction force between two planes.The comparison of the interaction force obtained with the interfacial Lennard-Jones potential is conducted to determine the definite relationships between the parameters of the interatomic potential and that of the interfacial potential,by which the Bradley model is expressed in terms of Hamaker constant.The definition of Hamaker constant,the Bradley model is further described by interatomic potential parameters and Hamaker constant.Theoretical analysis and numerical simulation indicate that the Bradley model is identical to the Hamaker hypotheses-based adhesion model.The relationships between the parameters of the interatomic potential and that of the interfacial potential are confirmed.

关 键 词：黏附 Bradley模型 Hamaker假设 Lennard-Jones势能 

分 类 号：TN16[电子电信—物理电子学] O48[理学—固体物理]