摘要
Hamaker假设作为微观连续介质的理论基础,在工程实践中得到广泛应用。根据Hamaker假设,利用微观连续介质法,计算了两个原子之间的吸引力,发现计算结果同经典的原子间吸引力不一致;通过分析相对误差发现,微观连续介质法仅适用在原子间距较大的范围,并确定了微观连续介质法引力作用域为接触间隙大于7倍的原子半径。进一步分析斥力项,发现也存在同样现象;综合考虑引力和斥力时,在分析绝对误差和相对误差的基础上,得到微尺度连续介质法的作用域为大于10倍的原子半径的结论。
Hamaker hypothesis, the base of the micro continuous medium method, is widely applied in engineering. In this paper, two-atom attraction is calculated by micro continuance medium method. The result does not agree with the Lennard-Jones potential result. The conclusion, which micro continuous medium method only holds in the long distance between the two micro-substances, is obtained. The definition domain of micro continuous medium method is h∈(7r, ∞), where r is the atomic radius. The same phenomenon exists in repulsive force analyzed by the same method. Synthesizing the attract and repulsive force, the conclusion, which the micro continuous medium method does not hold in the short distance between the two micro-substances, is obtained, and followed by the domain of definition: h∈ (10r, ∞).
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2005年第2期189-192,共4页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(10476019)资助项目.
