Size effect of the elastic modulus of rectangular nanobeams:Surface elasticity effect  

作　　者：姚海燕 云国宏 范文亮 

机构地区：[1]College of Ordos,Inner Mongolia University [2]Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology [3]College of Physical Science and Technology,Inner Mongolia University [4]College of Physics and Electronic Information,Inner Mongolia Normal University

出　　处：《Chinese Physics B》2013年第10期424-428,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No.11072104);the Scientific Research Program for Higher Schools of Inner Mongolia (Grant No.NJZY13013)

摘　　要：The size-dependent elastic property of rectangular nanobeams （nanowires or nanoplates） induced by the surface elas- ticity effect is investigated by using a developed modified core-shell model. The effect of surface elasticity on the elastic modulus of nanobeams can be characterized by two surface related parameters, i.e., inhomogeneous degree constant and surface layer thickness. The analytical results show that the elastic modulus of the rectangular nanobeam exhibits a distinct size effect when its characteristic size reduces below 1 O0 nm. It is also found that the theoretical results calculated by a mod- ified core-shell model have more obvious advantages than those by other models （core-shell model and core-surface model） by comparing them with relevant experimental measurements and computational results, especially when the dimensions of nanostructures reduce to a few tens of nanometers.The size-dependent elastic property of rectangular nanobeams （nanowires or nanoplates） induced by the surface elas- ticity effect is investigated by using a developed modified core-shell model. The effect of surface elasticity on the elastic modulus of nanobeams can be characterized by two surface related parameters, i.e., inhomogeneous degree constant and surface layer thickness. The analytical results show that the elastic modulus of the rectangular nanobeam exhibits a distinct size effect when its characteristic size reduces below 1 O0 nm. It is also found that the theoretical results calculated by a mod- ified core-shell model have more obvious advantages than those by other models （core-shell model and core-surface model） by comparing them with relevant experimental measurements and computational results, especially when the dimensions of nanostructures reduce to a few tens of nanometers.

关 键 词：size effects elastic modulus nanobeams surface elasticity 

分 类 号：O343[理学—固体力学]