Please consider attending the following: MATERIALS ENGINEERING SEMINAR "Status of Continuum Dislocation Dynamics Modeling of Metal Deformation" By Kyle R. Starkey Purdue MSE Ph.D. Preliminary Exam Advisor: Professor Anter El-Azab ABSTRACT Dislocation are known to be the carriers of plasticity in metals. It is therefore imperative to develop accurate models that describe their collective behavior during metal deformation. In this context, the discrete dislocation dynamics simulation method proved to be a valuable tool for studying systems of dislocations and investigating their collective mechanisms. Due to the computational cost of discrete simulations, however, the study of dislocation systems at large scales becomes infeasible and, consequently, continuum dislocation dynamics models must be introduced. This presentation will cover the modern approaches to describing dislocation systems at the mesoscale from a continuum perspective. First, an introduction is given as to how the continuum representation of dislocations was introduced to connect dislocation densities to the incompatibilities arising in the displacement field in deforming crystals. Following that, statistical models are introduced with a special focus on the statistical mechanical derivation of continuum dislocation dynamics equations in 2D. Next, 3D formalisms of continuum dislocation dynamics are introduced. The latter include the Field Dislocation Mechanics theory and other mesoscale formalisms representing dislocations by density vectors and combination of scalar and geometrically-necessary dislocation fields. PURDUE MSE [cid:image003.png@01D488C4.D3EBCAC0] Date: Monday, December 3, 2018 Time: 9:00 A.M. Place: ARMS B061
