Finite element homogenization (FEH) analysis is performed to investigate the effect of strain hardening on the homogenized elastic-viscoplastic behavior of a plate-fin structure with primary and secondary flow channels subjected to different pore pressures. A periodic unit cell is considered for the FEH analysis under uniaxial cyclic loading in the stacking direction. The plate-fin structure is assumed to be made of 316 stainless steel. The strain hardening and ratcheting properties of this base metal are represented using the Ohno-Wang kinematic hardening model. The FEH analysis then reveals that the strain hardening makes the mean pore pressure effective for the homogenized elastic-viscoplastic behavior. This is in accordance with one of the three special cases predicted using Hill's macrohomogeneity equation. The FEH analysis also reveals that the primary and secondary flow channels suffer from ratcheting due to the difference in two pore pressures despite of no ratcheting in the homogenized behavior.