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The modelling of dislocation dynamics: elastic behaviour versus core properties

The plasticity of crystalline solids results from the motion of linear defects called dislocations. As a coherent theoretical description of plasticity is for the moment out of reach, the potential exists for the development of numerical methods. A three–dimensional simulation of dislocation dynamics and interactions is described, the emphasis being put on the main two types of dislocation properties, namely those which can be described within an elastic frame and those which stem from core properties. Three examples are given which illustrate different domains of application of such numerical modelling: Ni3Al and its anomalous flow properties, dislocation patterning in pure FCC crystals and the transition between quasi–static and dynamic testing.