Loading and Unloading in thick-walled tubes
In ANSYS, using rate independent plasticity you can model the Bauschinger effect. For detail read the ANSYS manual.
You can find more detail from "The Handbook of Software for Engineers and Scientists" by Paul W. Ross.
I have attach the link of ANSYS lab regarding this in ANSYS mechanical.
http://inside.mines.edu/~apetrell/ENME442/Labs/1301_ENME442_lab7.pdf
http://home.cogeco.ca/~pbudgell/ANSYS_tips.html#T55
Use kinematic hardening approach
I aggree with Reddy, find plasticity models with kinematic hardening. Abaqus has a simple kinematic hardening model with linear hardening rule, and a more advanced model based on Lemaitre - Chaboche approach.
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