STABILIZE option in ABAQUS

Dear all, 

When I study rubber indentation analysis in order to find strain rate in the ABAQUS static, I do utilize the   *STABILIZE option to use the *HYSTERESIS option without UMAT subroutine (JMPS, 1998). Indentation load increases with strain rate. Extremely low strain rate analysis would converge to a quasi-static state. In such case, load-depth curve of quasi-static state should be almost equal to that of static state. When I studied quasi-static analysis using the *STABILIZE option, however, the indentation maximum load was about 20% larger than the static maximum load.  Although load-depth curves go down with decreasing strain rate, they don’t converge to the load-depth curve of static state. I wonder this problem will be solved if I utilize the UMAT subroutine (JMPS, 1998).

I appreciate anyone help. 

Best wishes, Kyu Min Hwang