Modeling contact between metals by 2D and 3D dislocation dynamics

In this work, the modeling of the contact deformation of two-dimensional and three-dimensional metal bodies is presented. The model that is used is the Green's Function Dislocation Dynamics model, which couples dislocation dynamics to the Green's Function molecular dynamics technique, a fast-converging boundary element method, based on damped dynamics, to solve for the required boundary value problem. The aim of this thesis is twofold. On the one hand, it is to apply the existing 2D GFDD model to two contact mechanics problems: coated rough surfaces and surfaces with a non-Gaussian distribution. On the other hand, the aim of this thesis is to extend the 2D GFDD model to three dimensions. This is done by coupling the Green's Function Molecular Dynamics model to a 3D dislocation dynamics numerical method based on segment discretization of dislocation lines.