Simulation of Microstructure in a Martensitic Film/Substrate with out-of-plane Inhomogeneity
Date Issued
2014
Date
2014
Author(s)
Chou, Yu-Tung
Abstract
This thesis aims to develop a model for microstructure simulation in a martensitic film/substrate system accounting for out-of-plane elastic inhomogeneity. The model is built on the novel phase-field approach developed by the present research team. But it differs from the consideration of elastic inhomogeneity between the film and substrate.
The thesis derives the microstructure evolution equation based on the calculus of variation. The elastic stress field is solved by applying the Fourier Transform over the periodic boundary condition along the film. In addition, the semi-implicit method and central difference method are also used for non-periodic boundary conditions such as traction-free on the top of film and stationary at the bottom of substrate. The calculation of stress field is validated by the comparison with COMSOL simulation. In addition, the simulation results under the consideration of vanishing elastic constants of substrate agree with those in the case of free-standing film. Finally, our results indicate that the microstructure patterns accounting for elastic inhomogeneity between film and substrate are different from those based on the assumption of identical elastic moduli.
Subjects
形狀記憶效應
麻田散鐵材料
非均質材料
新式相場法
快速傅立葉轉換
微結構
Type
thesis
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