If you want to use the Displacement type and use the Tabular softening, first, you need to have the exponential function and apply this function to software like MATLAB to obtain as much data as you need. Then, enter this data as a tabular form in the ABAQUS (see the attached figure).
If you want to use the Energy type, you have to write a subroutine.
Check the link below. It would be a great help in the cohesive matters.
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