Thermo-hyperelastic models for nanostructured materials  

作　　者：WANG ZhiQiao ZHAO YaPu 

机构地区：[1]State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China [2]School of Engineering and Technology, China University ofGeosciences, Beijing 100083, China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2011年第5期948-956,共9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 Nos. 60936001, 10772180, 10902111);the National Basic Research Program of China (Grant No. 2007CB310500);the Foundamental Research Funds for the Central Universities (Grant No. 2010ZY33)

摘　　要：In the framework of continuum thermodynamics, the present paper presents the thermo-hyperelastic models for both the surface and the bulk of nanostructured materials, in which the residual stresses are taken into account. Due to the existence of residual stresses, different configuration descriptions of the surface (or the bulk) thermo-hyperelastic constitutive equations are not the same even in the cases of infinitesimal deformation. As an example, the effective thermal expansion coefficient of spherical nanoparticles is analyzed.In the framework of continuum thermodynamics, the present paper presents the thermo-hyperelastic models for both the sur- face and the bulk of nanostructured materials, in which the residual stresses are taken into account. Due to the existence of re- sidual stresses, different configuration descriptions of the surface （or the bulk） thermo-hyperelastic constitutive equations are not the same even in the cases of infinitesimal deformation. As an example, the effective thermal expansion coefficient of spherical nanoparticles is analyzed.

关 键 词：nanostructured materials thermo-hyperelastic surface residual stresses 

分 类 号：O33[理学—一般力学与力学基础] TU476.4[理学—力学]