1. Introduction
- Survey on simulation techniques at the “mesoscopic” length scale
- Principle problems in modelling small scale mechanical behaviour: discrete models vs. continuum mechanics
2. Theory of dislocations
- Stress and displacement fields of dislocations
- Line energy
- Dislocation reactions
- Dynamics of dislocations
3. Discrete dislocation dynamics in three dimensions
- Possibilities of solving the boundary value problem (image forces, etc.)
- Super position principle of Van der Giessen, Needleman, et al.
- Equations of motion
- Dislocation cross-slip and climb
- Initial dislocation structures (Frank-Read sources, relaxed structures)
- Grain and phase boundaries
- Selected examples: micro compression/tension tests, micro bending tests, etc.
- Comparison with other simulation techniques: advantages and disadvantages
4. Phase field models
- Introduction in the phase field kinetic
- Classical applications: Solidification and growth processes
- Phase field model for dislocation motion
- Multi phase field model for the description of crystallographic slip
- Implementation of dislocation reactions
- Examples of application of phase field models in dislocation dynamics
5. Continuum mechanics approaches
- The dislocation density tensor
- Strain gradient plasticity theories
- Higher order continuum mechanics models
Vortragende/r:
C. Motz
MUonline:
Link