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

• Published in: Acta mechanica Sinica Vol. 25; no. 6; pp. 821 - 830
• Main Authors: Ou, Z. Y., Wang, G. F., Wang, T. J.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.12.2009
• 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; Elastic fields; Inhomogeneity; Interface energy; Nanometer
• ISSN: 0567-7718; 1614-3116
• DOI: 10.1007/s10409-009-0279-x

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.