the difference between Static, quasi-static and dynamic comes from the rate of loadin and the rate of deformations. in this article you can find some usefull information about it : https://lessons4civil.com/abaqus/quasi/
what are the difference between Static, quasi-static and dynamic in ABAQUS.
in simle words its all about the rate of loading and defrmations. here you can fond a simple article that clarify this technical terms
https://lessons4civil.com/abaqus/quasi/