A two-complementary-trio material model for cyclic plasticity is proposed in
this paper. In this formulation we consider a contact surface to confine the
motion of contact stress. While the on-off switching criteria of plasticity are
derived from the first complementary trio, the switching criteria of kinematic
hardening rules are derived according to the second complementary trio. In
terms of the new concept of contact stress and contact surface, it becomes
easier to derive the governing rule of back stress during the contact of yield
surface and bounding surface. The validity of the new model is confirmed by
comparing the computational results with the experimental data for materials
of SAE 4340 and RHA under uniaxial cyclic tests and biaxial cyclic tests.
Even though the material constants used in the new model are parsimonious
(with only 12), it is immediately recognized that the cyclic response curves
described by the new model are in good agreement with the experimental
data.
