Atomistic Simulation Methods and their Application on Fracture -- Fundamental dislocation theory and 3D dislocation mechanics -- Plasticity of moderately loaded cracks and the consequence of the discrete nature of plasticity to fatigue and fracture -- Discrete Dislocation Plasticity Analysis of Cracks and Fracture -- Statistical physical approach to describe the collective properties of dislocations -- Basic ingredients, development of phenomenological models and practical use of crystal plasticity -- Computational homogenization.

The latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale is presented. Discrete dislocation mechanics and the neighbouring fields molecular dynamics and crystal plasticity are central parts. The physical phenomena, the theoretical basics, their mathematical description and the simulation techniques are introduced and important problems from the formation of dislocation structures to fatigue and fracture from the nano- to microscale as well as it’s impact on the macro behaviour are considered.