超隔热材料理论探究.pdf

上海航
AEROSPACE SIIANGHAI
第33卷2016年第5期
文章编号:1006-1630(2016)05-0050-07
超隔热材料理论探究
冯仕猛',罗乾杰',刘嘉欣',顾琳慧,唐晓峰2,张红
(1.上海交通大学物理与天文系,上海20240;2.上海航天技术研究院,上海201109;
3.上海机电工程研究所,上海201109)
摘要:为新型超隔热材料研究提供理论依据,給出一种超材料简单结枃模型,根据原子振动波传播的基本理
论,用转移矩阵理论和不同区间边界上应カ,以及振幅连续关系推导出超材料中声子的本征方程。它清楚表明
声子频率与原子层结构参数及特性参数的非线性关系。讨论了不同条件下声子的模数与频萍,给出了两种特定条
件下的初步解。初步解表明:不同的原子居结构设计,声子频率不同,声子振动摸数也不同。只要选择合通的原子
层结构,就能降低声子振动模数和调节声子振动频率,从而隆低材料热传导系数。对某些特定设计的超级材料,有
不存在声子振动模的可能,这样的材料不能传播热声子,也就不能有效传泷热量,这对新型隔热材料研究是非常有
意义的。
关键词:超材料;矩阵理论;声子;木征方程;原子层结构;振動模;热传导系数;绝热
中图分类号:TB34文献标志码:A
DOI:10.19328/j.cnki,1006-1630.2016.05.008
Theoretical Investigation of Insulation Heat Property of Super-materi
FENG Shi-meng, LUO Qian-jie LIU Jia-xin, GU Lin-hui
TANG Xiao-feng, ZHANG Hong
(1. Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghi 200240, China;
2. Shanghai Academy of Spaceflight Technology, Shanghai 201109, China
3. Shanghai Electromechanical Engineering Institute, Shanghai, 201109, China
Abstract For the study of super-material theory, a simple model of super material was presented. According to
the basic theory of mechanical wave propagation, using the transfer matrix and continuous stress and amplitude at
the different boundary, onc cigencguation of phonon was derived which clearly described the nonlinear relationship of
phonon frequency with the designed parameters of atomic layer structure and the property parameter of material
The modular and frequency of phonon were discussed under various conditions, The preliminary solution of the
equation was given under two specific conditions. The preliminary solution shows that the phonon frequency changcs
with the change of the design of atomic layer. Generally, the phonon frequency and the number of phonon vibration
mode would be different when the structure parameter of atomic layer is different. It can reduce phonon frequency
and the number of phonon vibration module as long as choosing appropriate atomic layer structure, which leads to
the low coefficient of thermal conductivity. Especially, for specific design of the super material, it may have no
phonon vibration mode, and cant spread thermal phonons. That is to say, it will not be able to transfer heat
efficiently. This new type insulation material is very significant for the research of new heat insulation materials
Keywords: Super material; Matrix theory; Phonon; Eigenequation; Atomic laycr structure; Vibration mode
Coefficient of thermal conductivity; Heat insulation
收稿日期:2016-07-12;修回日期:2016-08-07
作者简介:冯仕猛(1964一),男,博土,主要从事新颖材料物理硏究
万方数据