It was described here how to perform dislocation dynamics simulations in a cylindrical geometry. An algorithm for computing the image stress was given in detail including methods for handling the singularity. Additional re-mesh rules address the problems of the cylindrical geometry and the required self consistency with mobility laws. Numerical studies benchmark the accuracy of the algorithms and the importance of handling the singularity correctly.

Dislocation Dynamics Simulations in a Cylinder. C.R.Weinberger, S.Aubry, S.W.Lee, C.Wei: IOP Conference Series: Materials Science and Engineering, 2009, 3[1], 012007