A method was suggested for the incorporation of dislocation climb into a discrete 3-dimensional model of dislocation dynamics. Each dislocation line consisted of a sequence of interconnected piece-wise straight segments which were embedded in an homogeneous linear elastic medium. The dynamics were described by solving Newton's equation of motion for each portion of the dislocation. Non-conservative dislocation motion was introduced by considering the osmotic force that arose from the emission or adsorption of point defects at the climbing segment. The osmotic force on each segment depended upon the local point-defect concentration. The mechanical structure-evolution law had to be combined with a chemical-structure evolution-equation. Corresponding formulations were derived by using the continuity equation and Fick's first diffusion law.

On the Consideration of Climb in Discrete Dislocation Dynamics. D.Raabe: Philosophical Magazine A, 1998, 77[3], 751-9