Hello Andres,
With the implicit solver you can run a purely static (or a quasi-static dynamic) analysis, while with the explicit solver you can run a quasi-static analysis if you apply the loading sufficiently slowly. For the solution to be considered quasi-static, the kinetic energy in the part of interest should be only a small percentage of the part internal energy (say 5%). The energy components of each part are available through *DATABASE_MATSUM.
Guidelines for implicit analysis including a checklist are available here:
https://www.dynasupport.com/howtos/implicit
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