On a simple cyclic plasticity modeling with implicit kinematic hardening restoration

This paper presents a fully three-dimensional plastic constitutive modeling framework suitable for the prediction of cyclic loading at large number of cycles. It can require only one yield surface and it is motivated by a simple rheological model where a restoration of the kinematic hardening is introduced. The classical kinematic hardening rules are then simply adapted leading to time-dependent evolution laws that are consistent with continuum thermodynamics requirements. The resulting behavior is physically motivated by many man-made materials of engineering interest such as bituminous material. This framework allows all types of yield functions to be easily implemented numerically. This is first illustrated with algorithmic details through a simple associative pressure-insensitive model example of the von Mises type. Then a more elaborated model is given where the present framework is applied to the description of bituminous materials submitted to triaxial static creep and to large number of cyclic loadings. Of particular interest is the ratcheting and the mean stress relaxation. The responses agree well with some experimental test results found in the literature.