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Lecture notes files.
| LEC # |
TOPICS |
MATERIALS |
| 1 |
Introduction: general info (PDF)
Continuum methods (PDF - 1.1 MB)#
Atomistic and molecular methods (PDF - 1.4 MB)#
Quantum mechanical methods (PDF - 1.6 MB)#
|
|
| 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) |
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| 26 |
Quantum modeling of solids: advanced properties of materials (PDF - 1.8 MB) |
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| 27 |
What else can we do? |
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