Analysis of dynamical processes in solids

Prof. Dr. Pavel Krejčí

Abstract

The course is subdivided into 12 sessions:

1. Principles of continuum mechanics, elasticity, plasticity, viscosity.
2. Principles of thermodynamics, state variables, internal energy, free energy, entropy.
3. Phase transition problems, latent heat, balance equations.
4. Mathematical tools: Sobolev spaces, embeddings, interpolations.
5. Variational inequalities: Existence, uniqueness, regularity of solutions.
6. Hysteresis operators: Definition, properties, classification.
7.-8. Methods of solving systems of evolution partial differential equations with constraints.
9. Qualitative properties of solutions: Long time behavior, stability, periodicity.
10. Multifunctional materials: Magnetostriction, piezoelectricity, shape memory materials.
11. Solids in contact.
12. Applications: Magnetostrictive energy harvesting, material fatigue.

Date and Place

• 02.06.2014: 14:00 - 16:00, TUM MI 02.08.011
• 05.06.2014: 10:00 - 12:00, TUM MI 03.06.011
• 12.06.2014: 10:00 - 12:00, TUM MI 03.06.011
• 16.06.2014: 14:00 - 16:00, TUM MI 02.08.011
• 30.06.2014: 14:00 - 16:00, TUM MI 02.08.011
• 03.07.2014: 10:00 - 12:00, TUM MI 03.06.011
• 07.07.2014: 14:00 - 16:00, TUM MI 02.08.011
• 10.07.2014: 10:00 - 12:00, TUM MI 03.06.011
• 14.07.2014: 14:00 - 16:00, TUM MI 02.08.011
• 16.07.2014: 10:00 - 12:00, TUM MI 03.06.011 Wednesday!
• 24.07.2014: 10:00 - 12:00, TUM MI 03.06.011
• 28.07.2014: 14:00 - 16:00, TUM MI 02.08.011