Lecture Notes
| LEC # | TOPICS | MATERIALS |
|---|---|---|
| 1 |
Introduction: general info (PDF) Continuum methods ( Atomistic and molecular methods ( Quantum mechanical methods ( | |
| Part I: Continuum methods (Raúl Radovitzky) | Mathematica Scripts | |
| 2 | Analysis; formulation of discrete mathematical models (PDF) | |
| 3 | Continuous systems (PDF) | (NB) |
| 4 | Weighted residual and weak formulations (PDF) | (NB) |
| 5 | Energy formulations and the Ritz method (PDF) | (NB) |
| 6 | The finite element method (part I) (PDF) | |
| 7 | The finite element method (part II) (PDF) | (NB) |
| 8 | The finite element method (part III) (PDF) | |
| 9 | The finite element method (part IV) (PDF) | |
| 10 | The finite element method (part V) (PDF) | |
| 11 | Quiz 1 | |
| Part II: Atomistic and molecular methods (Markus Buehler) | Concept Questions | |
| 12 | Introduction to atomistic modeling (PDF - 1.0 MB) | (PDF) |
| 13 | Basic statistical mechanics (PDF) | (PDF) |
| 14 | Basic molecular dynamics (PDF) | (PDF) |
| 15 | Interatomic potential and force field (PDF - 2.2 MB) | (PDF) |
| 16 | Interatomic potential and force field (cont.) (PDF - 2.9 MB) | (PDF) |
| 17 | Application to mechanics of materials: brittle materials (PDF - 3.2 MB) | (PDF) |
| 18 | Application to mechanics of materials: ductile materials (PDF - 6.0 MB) | (PDF) |
| 19 | Review (PDF - 4.8 MB) | |
| 20 | Quiz 2 | |
| Part III: Quantum mechanical methods (Timo Thonhauser) | ||
| 21 | The theory of quantum mechanics (PDF - 1.8 MB) | |
| 22 | Practice makes perfect (PDF - 2.5 MB) | |
| 23 | From many-body to single-particle: quantum modeling of molecules (PDF - 4.7 MB) | |
| 24 | From atoms to solids (PDF - 2.2 MB) | |
| 25 | Quantum modeling of solids: basic properties of materials (PDF - 2.0 MB) | |
| 26 | Quantum modeling of solids: advanced properties of materials (PDF - 1.8 MB) | |
| 27 | What else can we do? | |
