An analytical solution for the elastic fields near spheroidal nano-inclusions

When the size of an inclusion shrinks to nanometers, interface energy plays an important role in the deformation around it. In the present paper, we consider the effect of interface energy on the elastic fields near a spheroidal nanoinclusion embedded in an elastic medium on the basis of surface ela...

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Bibliographic Details
Published in:Acta mechanica Sinica 2009-12, Vol.25 (6), p.821-830
Main Authors: Ou, Z. Y., Wang, G. F., Wang, T. J.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Deformation
Engineering
Engineering Fluid Dynamics
Inclusions
Infinity
Inhomogeneities
Mathematical analysis
Nanocomposites
Nanomaterials
Nanostructure
Research Paper
Theoretical and Applied Mechanics
函数方法
尺寸缩小
弹性介质
弹性理论
纳米界面
解析解
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Summary:When the size of an inclusion shrinks to nanometers, interface energy plays an important role in the deformation around it. In the present paper, we consider the effect of interface energy on the elastic fields near a spheroidal nanoinclusion embedded in an elastic medium on the basis of surface elasticity theory. Using Boussinesq-Sadowsky potential function method, we obtain the deformation field near the inclusion subjected to a uniformly uniaxial loading at infinity. The results show that the elastic fields near the nano-inclusion depend strongly on the interface properties, the size and shape of inclusion. These new characteristics may be helpful to understand various relevant mechanical performances of nanosized inhomogeneities.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-009-0279-x