Theoretical model of double-walled carbon nanotube pullout from a composite matrix  

作　　者：ZHOU LiJun KANG YiLan GUO JianGang 

机构地区：[1]Tianjin Key Laboratory of Modern Engineering Mechanics,School of Mechanical Engineering,Tianjin University,Tianjin 300072,China [2]Department of Mechanical Engineering,Tianjin University of Technology and Education,Tianjin 300222,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2012年第6期1004-1009,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant no. 10802057 and 51075298);the Key Program of National Natural Science Foundation of China (Grant no. 10732080);the National Basic Research Program of China (973 Program,Grant no.2012CB937500)

摘　　要：A micromechanical model of double-walled carbon nanotube (DWCNT) pullout from a composite matrix is presented with the interfacial residual stress and van der Waals (vdW) forces taken into consideration.The interfacial residual stress induced by thermal expansion coefficient (TEC) mismatch is introduced via thermo-elastic constitutive relations.The influence of vdW interactions between two layers of DWCNT on the interfacial stress distributions of DWCNT and matrix is analyzed.The analytical expressions of interfacial shear stress and the axial stresses of DWCNT and matrix are derived,respectively.Furthermore,the influences of temperature change,interfacial friction coefficient,DWCNT aspect ratio,DWCNT volume fraction and the relative modulus between DWCNT and matrix are illustrated and discussed.A micromechanical model of double-walled carbon nanotube （DWCNT） pullout from a composite matrix is presented with the interfacial residual stress and van der Waals （vdW） forces taken into consideration.The interfacial residual stress induced by thermal expansion coefficient （TEC） mismatch is introduced via thermo-elastic constitutive relations.The influence of vdW interactions between two layers of DWCNT on the interfacial stress distributions of DWCNT and matrix is analyzed.The analytical expressions of interfacial shear stress and the axial stresses of DWCNT and matrix are derived,respectively.Furthermore,the influences of temperature change,interfacial friction coefficient,DWCNT aspect ratio,DWCNT volume fraction and the relative modulus between DWCNT and matrix are illustrated and discussed.

关 键 词：double-walled carbon nanotubes PULLOUT residual stress van der Waals forces 

分 类 号：O151.21[理学—数学] TB383[理学—基础数学]