DEVELOPMENT OF PIEZORESISTIVE SILICON NANOWIRES (SINWS) AND THE APPLICATIONS IN NEMS TECHNOLOGY.

Ph.DDOCTOR OF PHILOSOPH

Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation

A general method is proposed to build exact artificial boundary conditions for the one-dimensional nonlocal Schrödinger equation. To this end, we first consider the spatial semi-discretization of the nonlocal equation, and then develop an accurate numerical method for computing the Green's function of the semi-discrete nonlocal Schrödinger equation. These Green's functions are next used to build the exact boundary conditions corresponding to the semi-discrete model. Numerical results illustrate the accuracy of the boundary conditions. The methodology can also be applied to other nonlocal models and could be extended to higher dimensions

Mechanism of crack branching in the fatigue crack growth path of 2324-T39 Aluminium alloy

The crack growth behavior in 2324-T39 aluminium alloy was experimentally investigated. Two types of crack branching were observed. The mechanism of an uncommon crack branching which results from the link up of secondary crack with the main crack was focused on. The crack paths were observed with optical microscope and in-situ SEM. Finite element crack tip simulation was performed to investigate the relationship between plastic zone size and the location of the secondary crack. Tests and analysis results indicate that the secondary crack initiates near the plastic zone boundary and from the subsurface. The mechanism of this kind crack branching relates to the interaction of grain size and plastic zone size

Spectral Analysis of the Bounded Linear Operator in the Reproducing Kernel Space W

We first introduce some related definitions of the bounded linear operator L in the reproducing kernel space W2m(D). Then we show spectral analysis of L and derive several property theorems