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.
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)
