After successful completion of the course, students are able to understand basic concepts from tensorial calculus, linear theory of elasticity, and a relation between elastic properites and crystal symmetries. The students learn about dislocations, their classification and relation to macroscopic material properties.

Elasticity:

1. Vectors, matrices and tensors
2. The stress and strain tensors
3. The fourth rank tensor of elastic constants
4. Other tensors describing physical properties of crystals

Theory of dislocations:

1.  Properties dislocations: 
• Continuum idealisation vs. discrete view
• Perfect vs. imperfect dislocations
• Curved dislocations
2. Elastic fields of straight dislocations in linear elasticity: 
• Stress fields
• Energy of dislocations
• Partial dislocations, stacking faults
3.  Non-linear effects: 
• Peierls-Nabarro Model
• Atomistic structure of dislocation core
4.  Dislocations in real materials: 
• Dislocation sources
• Observation, TEM principles of dislocation imaging
• Dislocation motion, work-hardening
• Critical thickness for dislocation-free thin epitaxial films

Standard lecture

oral exam with a short students' presentations

JF Nye: Physical properties of crystals

AH Cottrell: Dislocations and plastic flow in crystals

JP Hirth, J Lothe: Theory of dislocations

D Hull, DJ Bacon: Introduction to dislocations