I am simulating a quasi-static in abaqus explicit, but I couldn't see any step frame in visualization, although in monitoring window there are so many increment..
Have you checked the .sta, .dat and .msg files? Usually, errors are printed in those. That should help figure out the problem. Most likely: Abaqus starts step 1 and tries to solve through a number of increments, however, convergence is not achieved, and no step can be viewed in Viewer. So the problem would be to understand why the solution does not converge. As your simulation is quasi-static, have you tried to use Abaqus/Standard? The Standard solver is implicit, thus more stable than the Explicit one.
You have to request writing field output and history output variables at certain time intervals, only then it will write the data in frames.
By default the time interval may be 0.1 but this value could be a very long time in an explicit solution, so you will have thousands of increments lets say at an interval of 1e-6 but no frames as reaching a time of 0.1 will take longer (real time).
CHOOSE a frequency of e.g. request Field output after every 1 increments (or any logical value) and see.
In Abaqus, this simply means that you are in a step/frame where the variable you selected is not stored. This happens frequently(for some variables) at frame 0 of a second step (which is identical to the final frame of the previous step). It may also occur if you have several output statements with different intervals so that some variables are not written at some frames.