Method


Figure 1: General process of the simulation

This project can be divided into three parts:
1. Generating mesh;
2. Calculating stress field and strain energy of nodes which are on the voids’ boundary;
3. Calculating voids’ boundary nodes’ new position at different time step;
The professional FE software is used in the first step to generate mesh. Finite element method theories for both atom diffusion and stress field calculation are implemented in Matlab to complete step 2 and 3.
Finite element method theory is based on transforming problem from strong form to weak form. With the help of shape functions and integration points, the integration in weak form can be calculated. By placing the small matrixes of each element in the right position of the big matrix, the variables can be calculated.

Self-assembled super lattice

Introduction  Method   Theory   Simulation   Results  Code