yup, I had UMAT in mind. But i was trying to explore the other ways out. 

"Stress degredation method" is developed Institute for Geotechnical Engineering, Leibniz University Hannover was used to investigate the behavior of monopiles and suction-bucket foundation systems under cyclic loading utilizing ABAQUS. It may help you to read regarding papers written by Prof. Dr. Achmus M. et al. 

Thanks Cihan Taylan Akdag for the reply. In ABAQUS, cyclic response can be carried  out using stiffness degradation method. That's one of the ways by which it can be done. I was looking for something apart from that. Like any material model which can simulate the general cyclic behaviour.