Zheng, Hui: Radial basis function collocation methods for band structure computation of phononic crystalsRadiale Basisfunktion-Kollokationsmethode für die Bandstrukturberechnung von phononischen Kristallen. 2016
Inhalt
- Abstract
- Kurzfassung
- Contents
- List of figures
- List of tables
- List of abbreviations
- Chapter 1 - Introduction
- 1.1 Current state of research on phononic crystals
- 1.2 Numerical methods for band structure computations
- 1.3 Objectives of the thesis
- 1.4 Outline of the thesis
- Chapter 2 - Governing equations of elastic and acoustic wave propagation inphononic crystals
- 2.1 1D elastic wave propagation
- 2.2 2D anti-plane elastic wave propagation
- 2.3 2D in-plane elastic wave propagation
- 2.4 2D mixed elastic and acoustic wave propagation
- Chapter 3 - Radial basis function collocation methods (RBFCM)
- 3.1 Global radial basis function collocation method (GRBFCM)
- 3.2 Local radial basis function collocation method (LRBFCM)
- 3.3 Treatments of the boundary and interface continuity conditions
- 3.4 Summary
- Chapter 4 - Global RBFCM for 1D solid/solid phononic crystals
- 4.1 GRBFCM formulation for 1D solid/solid phononic crystals
- 4.2 Numerical results and discussions
- 4.3 Summary
- Chapter 5 - Local RBFCM for anti-plane wave propagation analysis in 2D solid/solid phononic crystals
- 5.1 LRBFCM formulation of the eigenvalue problems
- 5.2 Numerical results and discussions
- 5.3 Analysis of the computational efficiency
- 5.4 Summary
- Chapter 6 - Local RBFCM for in-plane elastic wave propagation analysis in2D solid/solid phononic crystals
- 6.1 LRBFCM formulation of the eigenvalue problems
- 6.2 Numerical results and discussions
- 6.3 Analysis of the computational efficiency
- 6.4 Summary
- Chapter 7 - Local RBFCM for wave propagation analysis in 2D solid/fluidand fluid/solid phononic crystals
- 7.1 LRBFCM formulation of the eigenvalue problems
- 7.2 Numerical results and discussions
- 7.3 Analysis of the computational efficiency
- 7.4 Summary
- Chapter 8 - Conclusions and outlook
- References
- Publications