18 papers
A Stochastic Analysis of Steady and Transient Heat Conduction in Random Media Using a Homogenization Approach
Zhijie Xu
We present a new stochastic analysis for steady and transient one-dimensional heat conduction problem based on the homogenization approach. Thermal conductivity is assumed to be a…
Simulation of Heterogeneous Atom Probe Tip Shapes Evolution during Field Evaporation Using a Level Set Method and Different Evaporation Models
Zhijie Xu, Dongsheng Li, Wei Xu +5
In atom probe tomography (APT), accurate reconstruction of the spatial positions of field evaporated ions from measured detector patterns depends upon a correct understanding of th…
Phonon excitation and energy redistribution in phonon space for energy transport in one-dimensional lattice with nonlinear dispersion
Zhijie Xu
We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions…
Modeling Selective Intergranular Oxidation of Binary Alloys
Zhijie Xu, Dongsheng Li, Daniel K. Schreiber +2
Intergranular attack of alloys under hydrothermal conditions is a complex problem that depends on metal and oxygen transport kinetics via solid-state and channel-like pathways to a…
Upscaling of Solute Transport in Heterogeneous Media with Non-uniform Flow and Dispersion Fields
Zhijie Xu, Paul Meakin
An analytical and computational model for non-reactive solute transport in periodic heterogeneous media with arbitrary non-uniform flow and dispersion fields within the unit cell o…
Phase field and level set methods for modeling solute precipitation and/or dissolution
Zhijie Xu, Hai Huang, Xiaoyi Li +1
The dynamics of solid-liquid interfaces controlled by solute precipitation and/or dissolution due to the chemical reaction at the interface were computed in two dimensions using a…