Statistics of Internal Elastic Fields of 3D Dislocations Systems: Computational Modeling and Comparison with X-ray Measurements Anter A. El-Azab, Associate Professor Department of Scientific Computing, College of Arts and Sciences Materials Science Program Florida State University Dirac Science Library Tallahassee, FL 32306-4120 I will present a theoretical formulation and a simulation technique for the statistics of internal elastic field of 3D dislocation systems in deforming crystals. The dislocation realizations are generated by the method of dislocation dynamics simulation and their internal elastic fields in the simulation volume is computed using an exact formulation of the stress boundary value problem. Since the internal elastic fields of dislocations are highly fluctuating within the crystal volume under consideration, we use probability density functions as well as pair correlation functions to model their statistics. These statistical measures are established as first and second order ensemble averages of internal stress with respect to a generalized probability distribution function of dislocations. The statistical properties of the internal stress, elastic strain, lattice rotation, lattice curvature tensor and dislocation density tensor in dislocated crystals will be presented. A comparison with submicron resolved X-ray measurements of lattice rotation and dislocation density tensor will be shown.