I know that I can run an explicit analysis using Explicit Dynamics modulus from ANSYS Workbench environment, but its solver is AUTO-DYNA. How can change it to LS-DYNA or is there other method to use LS-DYNA instead?
You can launch LS DYNA in Ansys Product launcher which is included in APDL Multi physicsi.e. ANSYS MULTIPHISYCS/LS-DYNA. I've used the same module for some other purpose, but dont kow whether it will work for your requirement or not. Try it once