Introduction to Discrete Dislocation Statics and Dynamics
8.1 Basics of Discrete Plasticity Models
This chapter deals with the simulation of plasticity of metals at the microscopic and mesoscopic scale using space- and time-discretized dislocation statics and dynamics. The complexity of discrete dislocation models is due to the fact that the mechanical interaction of ensembles of such defects is of an elastic nature and, therefore, involves long-range interactions.
Space-discretized dislocation simulations idealize dislocations outside the dislocation cores (few atomic positions in the center of the dislocation) as linear defects which are embedded within an otherwise homogeneous, isotropic or anisotropic, linear elastic medium. ...