热力耦合作用下双层碳纳米管的扭转屈曲  

Torsional buckling of a double-walled carbon nanotube under the action of coupled thermo-mechanical load

作　　者：姚小虎[1] 韩强[1] 

机构地区：[1]华南理工大学土木与交通学院,广州510640

出　　处：《物理学报》2008年第8期5056-5062,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10672059);广东省自然科学基金(批准号:06025689)资助的课题~~

摘　　要：考虑碳纳米管周边弹性介质和层间范德瓦耳斯力的作用,利用连续介质力学的壳体理论,建立了热力耦合作用下碳纳米管屈曲问题的控制方程,给出了相应的临界屈曲扭矩的解析解.数值模拟结果表明,在低温和室温环境下,碳纳米管的临界屈曲载荷随着温度变化量的增加而提高;在高温环境下,碳纳米管的临界屈曲载荷随着温度变化量的增加而降低.Taking into account the effects of surrounding elastic medium and van der Waals forces between the inner and outer nanotubes and using the shell theory in continuum mechanics,the governing equation of carbon nanotube under the action of coupled thermo-mechanical load is established.Based on the model,an explicit formula for the critical load is derived in terms of the buckling modes of the shell and the parameters that indicate the effects of temperature change,surrounding elastic medium and the van der Waals force.Numerical simulation results show that at low and room temperature the critical load for infinitesimal buckling of a double-walled carbon nanotube increases as the value of temperature change increases,while at high temperature the critical load for infinitesimal buckling of a double-walled carbon nanotube decrease as the value of temperature change increases.

关 键 词：碳纳米管 屈曲 热力耦合 

分 类 号：TB383.1[一般工业技术—材料科学与工程]