The Mechanics Response Of Nanocomposites Affected By The Surface/Interface

As a kind of new material, nanocomposites are widely used in medicine, microelectronics, chemical industry, bioengineering, etc. In order to meet the requirements of engineering design, micro-devices and nanostructure will inevitably contain inclusions or holes, surface/interface effect will have a huge impact on the performance of the nanocomposites under an external loading. And the fracture and destruction will firstly occur in surface/interface region, because the high ratio of surface/interface area to volume when the size of low-dimensional materials approaches the nano-scale. In order to analyze the surface/interface effect on the property of nanocomposites, the effect of the surface/interface on the stress and displacement in nanocomposites under an external loading is researched by using the Gurtin and Murdoch model of material surfaces and the boundary integral method in this paper. The main research contents are as follows:the problem of an isotropic elastic half-plane containing multiple circular nano-inhomogeneities was considered. The complex Fourier series approximation method and Gauss-Seidel iterative algorithm are applied, and the numerical solution of any point at the nano-inhomogeneities and half-plane with surface/interface effects was obtained. At last, the numerical examples of a nano-inhomogeneity embedded into the half-plane were given and the effect of existence of nanoscale surface to the stress field of the whole half-plane structure was analyzed.An elliptical nano-homogeneity embedded into an infinite plane problem is studied by the boundary integral method. The conformal mapping function is introduced to transform the elliptic interface between the inhomogenetity and matrix into a unit circle. Then, the truncated complex Fourier series is applied to approximate the unknown tractions and displacements at the inhomogenety-matrix boundary. A system of linear algebraic equations is obtained by using the property of a Fourier series, and then separating real and imaginary parts in the complex equations to define the unknown coefficient of a Fourier series. Due to only five complex Fourier coefficients are non-zero, the analytical solution is obtained.