Large strain hysteresis is a common phenomenon of many elastomeric materials. These types of materials generally exhibit significant energy dissipation during cyclic loading. Accurately capturing this behavior can be extremely important for shock and vibration isolation applications. Some applications include shock isolation mounts, bushings, tires, etc.

Large strain hysteresis has been an option in Abaqus/Standard for some time now; however, no analogous model is currently available in Abaqus/Explicit. This VUMAT for the Abaqus Unified FEA product suite by SIMULIA, augments the capabilities of Abaqus/Explicit through a VUMAT material definition which is largely analogous to that provided in Abaqus/Standard through the *HYSTERESIS option.

Attached below is documentation for Abaqus/Explicit VUMAT for the simulation of hysteretic behavior in polymeric materials. 

Commercial SIMULIA customers can get the input files for this example here: https://kb.dsxclient.3ds.com/360-mashup-ui/page/document?q=docid:QA00000008105

Note that this user subroutine is offered freely, and is not part of the regular licensed Abaqus software suite.