As. Khan et Xm. Su, CONSTITUTIVE RELATIONS FOR SINGLE-CRYSTAL BASED ON 2 SURFACE DESCRIPTION, International journal of plasticity, 10(7), 1994, pp. 807-823
A two surface model is used to describe single crystal slip. The evolu
tion of the yield surface and outer yield surface are proposed to be d
irectly related to the development of dislocation structures. The anis
otropy of inner yield surface is attributed to both the long range and
short range dislocation interactions, whereas anisotropy of the outer
yield surface is assumed to depend solely on the short range interact
ions. The outer yield surface is not isotropic as assumed in most two
surface models of other researchers. This surface is able to evolve ev
en when the stress state is within the outer yield surface.