Hi Navid,
In the context of metals:
Isotropic hardening can be used for large-strain analyses of metals (> 5-10% true strain). Isotropic hardening is not meant for cyclic loading applications because it does not account for the Bauschinger effect. Moreover, applicability of isotropic hardening for non-proportional loading is left up to the user, although, generally speaking, it is meant for proportional loading only.
On the other hand, kinematic hardening is usually meant for non-proportional, cyclic loading since the Bauschinger effect is approximated with this model. However, it is generally meant for small-strain applications.
Regards,
Ashish Khemka
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