Bingchuan Bian 
Topological Optimization of Buckling 

Table of Content:
Chapter I Introduction
1.1 Background
1.2 Current development
1.3 Software platform
1.4 Key topics in buckling topological optimization research
Chapter 2 Topological optimization for continuous structure with bulking constrain
2.1 introduction
2.2 ICM (indeedent continuous mapping) method
2.3 Determination of Filter Function
2.4 Model estblishment and realization
2.5 Solution to optimization
2.6 Optimization strategy
2.7 Constrain selection
2.8 Optimization algrithms
2.9 Numerical simulation and case study
2.10 Summary
Chapter 3 Topological optimization for continuous structure with bulking and dispacement constrain
3.1 Introduction
3.2 Model establishment and solution
3.3 Optimization strategy
3.4 Constrain selection
3.5 Optimization algrithms
3.6 Numerical simulation and case study
3.7 Summary
Chapter 4 Topological optimization for continuous structure with bulking and stress constrain
4.1 Introduction
4.2 Deformation energy
4.3 The therotical background of deformation energy
4.4 Strain revision cofficient
4.5 Model establishment and solution
4.6 Optimization strategy
4.7 Constrain selection
4.8 Optimization algrithms
4.9 Numerical simulation and case study
4.10 Summary
Chapter 5 Topological optimization for continuous structure with static constrain
5.1 Introduction
5.2 Model establishment and solution
5.3 Upper limit for constrain
5.4 Optimization algrithms
5.5 Numerical simulation and case study
5.6 Summary
Chapter 6 Software and user instruction
6.1 Introduction
6.2 User interface introduction
6.3 Set up for analysis and output
6.4 Topological Optimization menu and inputs
6.5 Output and Result menu
6.6 Summary
Chapter 7 Engineering applications
7.1 Introduction
7.2 System optimization in industry via mixed programming
7.3 Topological optimization in the design of power transformer lifting lug
7.4 Finate element method and topological optimization in small-sized transformer fuel tank
7.5 Topological optimization in the design of vacuum tank
Chapter 8 Prospect