Large Deformation - Definition of total work energy density

Like we have the elastic strain energy density for small deformations  defined as 0.5* σ :e  .

Is the equation PK2:E valid for the total work energy density for elastoplastic regimes ? If not, what would be a valid equation for total energy density ?

How can we decompose total work density into elastic work and plastic work densities for a large deformation case.

Where,

PK2 is the second piola kirchoff stress tensor

E is the Green-Lagrange strain tensor

Thanks,

Prithivi