Incorporating 3D Mechansims into 2D Dislocation Dynamics Academic Article uri icon


  • Constitutive rules are developed to include three-dimensional dislocation mechanisms, such as line tension and dynamic junction formation, within a two-dimensional dislocation dynamics formulation. Some of the junctions that form dynamically can operate as FrankRead sources. Boundary value problems are solved by using superposition to represent the solution in terms of the infinite medium fields for discrete dislocations and non-singular complementary fields that enforce the boundary conditions. This framework is used to analyse the plane strain tension of a single crystal. Calculations are carried out to strains of 38%, and the transition from stage I to II hardening is exhibited. The dependence of this transition and of the stage II hardening on constitutive parameters is explored. A variety of stressstrain responses are obtained and compared with available experimental results. The emergence of dislocation cells is seen and the structure of the cells is described.

published proceedings

  • Modelling and Simulation in Materials Science and Engineering

author list (cited authors)

  • BENZERGA, A. A., Brchet, Y., Needleman, A., & Van der Giessen, E.

citation count

  • 139

complete list of authors

  • BENZERGA, AA||BrĂ©chet, Y||Needleman, A||Van der Giessen, E