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In chapter 1 an introduction to basic dislocation properties in an elastic continuum is given. Displacements, strains, stresses and energies of straight edge and screw dislocations are compiled as well as forces on dislocations, implications of dislocation motion and aspects of dislocations in real crystals. Chapter 2 details the models of dislocation self interaction for curved dislocations including the line tension model and linear elastic self interaction. The former is essential for basic understanding, whereas the latter is the basis of accurate dislocation dynamics simulations of plasticity. In chapter 3 these models are applied for 2-dimensional dislocation glide which allow to calculate the strengthening effect of second phase particles and solute atoms in a material. Finally, aspects of 3-dimensional dislocation motion are outlined in chapter 4.