Mathematical prediction of dislocation cell sizes with strain using the mesh-length theory of work hardening

An example of the evolution of cell structures which is directly predicted by the principle of similitude in the mesh-length theory of work hardening is the reduction of dislocation cell size with total strain. In tensile samples, total strain can be easily represented by the reduction of area of the gauge length. The relationship between dislocation cell size D and reduction of area RA has been measured for several different metals using …